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Fraction word problems
Here you will learn about fraction word problems, including solving math word problems within a real-world context involving adding fractions, subtracting fractions, multiplying fractions, and dividing fractions.
Students will first learn about fraction word problems as part of number and operations—fractions in 4 th grade.
What are fraction word problems?
Fraction word problems are math word problems involving fractions that require students to use problem-solving skills within the context of a real-world situation.
To solve a fraction word problem, you must understand the context of the word problem, what the unknown information is, and what operation is needed to solve it. Fraction word problems may require addition, subtraction, multiplication, or division of fractions.
After determining what operation is needed to solve the problem, you can apply the rules of adding, subtracting, multiplying, or dividing fractions to find the solution.
For example,
Natalie is baking 2 different batches of cookies. One batch needs \cfrac{3}{4} cup of sugar and the other batch needs \cfrac{2}{4} cup of sugar. How much sugar is needed to bake both batches of cookies?
You can follow these steps to solve the problem:
Step-by-step guide: Adding and subtracting fractions
Step-by-step guide: Adding fractions
Step-by-step guide: Subtracting fractions
Step-by-step guide: Multiplying and dividing fractions
Step-by-step guide: Multiplying fractions
Step-by-step guide: Dividing fractions
Common Core State Standards
How does this relate to 4 th grade math to 6 th grade math?
- Grade 4: Number and Operations—Fractions (4.NF.B.3d) Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
- Grade 4: Number and Operations—Fractions (4.NF.B.4c) Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat \cfrac{3}{8} of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
- Grade 5: Number and Operations—Fractions (5.NF.A.2) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result \cfrac{2}{5}+\cfrac{1}{2}=\cfrac{3}{7} by observing that \cfrac{3}{7}<\cfrac{1}{2} .
- Grade 5: Number and Operations—Fractions (5.NF.B.6) Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
- Grade 5: Number and Operations—Fractions (5.NF.B.7c) Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share \cfrac{1}{2} \: lb of chocolate equally? How many \cfrac{1}{3} cup servings are in 2 cups of raisins?
- Grade 6: The Number System (6.NS.A.1) Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for \cfrac{2}{3} \div \cfrac{4}{5} and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that \cfrac{2}{3} \div \cfrac{4}{5}=\cfrac{8}{9} because \cfrac{3}{4} of \cfrac{8}{9} is \cfrac{2}{3}. (In general, \cfrac{a}{b} \div \cfrac{c}{d}=\cfrac{a d}{b c} \, ) How much chocolate will each person get if 3 people share \cfrac{1}{2} \: lb of chocolate equally? How many \cfrac{3}{4} cup servings are in \cfrac{2}{3} of a cup of yogurt? How wide is a rectangular strip of land with length \cfrac{3}{4} \: m and area \cfrac{1}{2} \: m^2?
[FREE] Fraction Operations Worksheet (Grade 4 to 6)
Use this quiz to check your grade 4 to 6 students’ understanding of fraction operations. 10+ questions with answers covering a range of 4th to 6th grade fraction operations topics to identify areas of strength and support!
How to solve fraction word problems
In order to solve fraction word problems:
Determine what operation is needed to solve.
Write an equation.
Solve the equation.
State your answer in a sentence.
Fraction word problem examples
Example 1: adding fractions (like denominators).
Julia ate \cfrac{3}{8} of a pizza and her brother ate \cfrac{2}{8} of the same pizza. How much of the pizza did they eat altogether?
The problem states how much pizza Julia ate and how much her brother ate. You need to find how much pizza Julia and her brother ate altogether , which means you need to add.
2 Write an equation.
3 Solve the equation.
To add fractions with like denominators, add the numerators and keep the denominators the same.
4 State your answer in a sentence.
The last step is to go back to the word problem and write a sentence to clearly say what the solution represents in the context of the problem.
Julia and her brother ate \cfrac{5}{8} of the pizza altogether.
Example 2: adding fractions (unlike denominators)
Tim ran \cfrac{5}{6} of a mile in the morning and \cfrac{1}{3} of a mile in the afternoon. How far did Tim run in total?
The problem states how far Tim ran in the morning and how far he ran in the afternoon. You need to find how far Tim ran in total , which means you need to add.
To add fractions with unlike denominators, first find a common denominator and then change the fractions accordingly before adding.
\cfrac{5}{6}+\cfrac{1}{3}= \, ?
The least common multiple of 6 and 3 is 6, so 6 can be the common denominator.
That means \cfrac{1}{3} will need to be changed so that its denominator is 6. To do this, multiply the numerator and the denominator by 2.
\cfrac{1 \times 2}{3 \times 2}=\cfrac{2}{6}
Now you can add the fractions and simplify the answer.
\cfrac{5}{6}+\cfrac{2}{6}=\cfrac{7}{6}=1 \cfrac{1}{6}
Tim ran a total of 1 \cfrac{1}{6} miles.
Example 3: subtracting fractions (like denominators)
Pia walked \cfrac{4}{7} of a mile to the park and \cfrac{3}{7} of a mile back home. How much farther did she walk to the park than back home?
The problem states how far Pia walked to the park and how far she walked home. Since you need to find the difference ( how much farther ) between the two distances, you need to subtract.
To subtract fractions with like denominators, subtract the numerators and keep the denominators the same.
\cfrac{4}{7}-\cfrac{3}{7}=\cfrac{1}{7}
Pia walked \cfrac{1}{7} of a mile farther to the park than back home.
Example 4: subtracting fractions (unlike denominators)
Henry bought \cfrac{7}{8} pound of beef from the grocery store. He used \cfrac{1}{3} of a pound of beef to make a hamburger. How much of the beef does he have left?
The problem states how much beef Henry started with and how much he used. Since you need to find how much he has left , you need to subtract.
To subtract fractions with unlike denominators, first find a common denominator and then change the fractions accordingly before subtracting.
\cfrac{7}{8}-\cfrac{1}{3}= \, ?
The least common multiple of 8 and 3 is 24, so 24 can be the common denominator.
That means both fractions will need to be changed so that their denominator is 24.
To do this, multiply the numerator and the denominator of each fraction by the same number so that it results in a denominator of 24. This will give you an equivalent fraction for each fraction in the problem.
\begin{aligned}&\cfrac{7 \times 3}{8 \times 3}=\cfrac{21}{24} \\\\ &\cfrac{1 \times 8}{3 \times 8}=\cfrac{8}{24} \end{aligned}
Now you can subtract the fractions.
\cfrac{21}{24}-\cfrac{8}{24}=\cfrac{13}{24}
Henry has \cfrac{13}{24} of a pound of beef left.
Example 5: multiplying fractions
Andre has \cfrac{3}{4} of a candy bar left. He gives \cfrac{1}{2} of the remaining bit of the candy bar to his sister. What fraction of the whole candy bar does Andre have left now?
It could be challenging to determine the operation needed for this problem; many students may automatically assume it is subtraction since you need to find how much of the candy bar is left.
However, since you know Andre started with a fraction of the candy bar and you need to find a fraction OF a fraction, you need to multiply.
The difference here is that Andre did NOT give his sister \cfrac{1}{2} of the candy bar, but he gave her \cfrac{1}{2} of \cfrac{3}{4} of a candy bar.
To solve the word problem, you can ask, “What is \cfrac{1}{2} of \cfrac{3}{4}? ” and set up the equation accordingly. Think of the multiplication sign as meaning “of.”
\cfrac{1}{2} \times \cfrac{3}{4}= \, ?
To multiply fractions, multiply the numerators and multiply the denominators.
\cfrac{1}{2} \times \cfrac{3}{4}=\cfrac{3}{8}
Andre gave \cfrac{1}{2} of \cfrac{3}{4} of a candy bar to his sister, which means he has \cfrac{1}{2} of \cfrac{3}{4} left. Therefore, Andre has \cfrac{3}{8} of the whole candy bar left.
Example 6: dividing fractions
Nia has \cfrac{7}{8} cup of trail mix. How many \cfrac{1}{4} cup servings can she make?
The problem states the total amount of trail mix Nia has and asks how many servings can be made from it.
To solve, you need to divide the total amount of trail mix (which is \cfrac{7}{8} cup) by the amount in each serving ( \cfrac{1}{4} cup) to find out how many servings she can make.
To divide fractions, multiply the dividend by the reciprocal of the divisor.
\begin{aligned}& \cfrac{7}{8} \div \cfrac{1}{4}= \, ? \\\\ & \downarrow \downarrow \downarrow \\\\ &\cfrac{7}{8} \times \cfrac{4}{1}=\cfrac{28}{8} \end{aligned}
You can simplify \cfrac{28}{8} to \cfrac{7}{2} and then 3 \cfrac{1}{2}.
Nia can make 3 \cfrac{1}{2} cup servings.
Teaching tips for fraction word problems
- Encourage students to look for key words to help determine the operation needed to solve the problem. For example, subtracting fractions word problems might ask students to find “how much is left” or “how much more” one fraction is than another.
- Provide students with an answer key to word problem worksheets to allow them to obtain immediate feedback on their solutions. Encourage students to attempt the problems independently first, then check their answers against the key to identify any mistakes and learn from them. This helps reinforce problem-solving skills and confidence.
- Be sure to incorporate real-world situations into your math lessons. Doing so allows students to better understand the relevance of fractions in everyday life.
- As students progress and build a strong foundational understanding of one-step fraction word problems, provide them with multi-step word problems that involve more than one operation to solve.
- Take note that students will not divide a fraction by a fraction as shown above until 6 th grade (middle school), but they will divide a unit fraction by a whole number and a whole number by a fraction in 5 th grade (elementary school), where the same mathematical rules apply to solving.
- There are many alternatives you can use in place of printable math worksheets to make practicing fraction word problems more engaging. Some examples are online math games and digital workbooks.
Easy mistakes to make
- Misinterpreting the problem Misreading or misunderstanding the word problem can lead to solving for the wrong quantity or using the wrong operation.
- Not finding common denominators When adding or subtracting fractions with unlike denominators, students may forget to find a common denominator, leading to an incorrect answer.
- Forgetting to simplify Unless a problem specifically says not to simplify, fractional answers should always be written in simplest form.
Related fractions operations lessons
- Fractions operations
- Multiplicative inverse
- Reciprocal math
- Fractions as divisions
Practice fraction word problem questions
1. Malia spent \cfrac{5}{6} of an hour studying for a math test. Then she spent \cfrac{1}{3} of an hour reading. How much longer did she spend studying for her math test than reading?
Malia spent \cfrac{1}{2} of an hour longer studying for her math test than reading.
Malia spent \cfrac{5}{18} of an hour longer studying for her math test than reading.
Malia spent \cfrac{1}{2} of an hour longer reading than studying for her math test.
Malia spent 1 \cfrac{1}{6} of an hour longer studying for her math test than reading.
To find the difference between the amount of time Malia spent studying for her math test than reading, you need to subtract. Since the fractions have unlike denominators, you need to find a common denominator first.
You can use 6 as the common denominator, so \cfrac{1}{3} becomes \cfrac{3}{6}. Then you can subtract.
\cfrac{3}{6} can then be simplified to \cfrac{1}{2}.
Finally, you need to choose the answer that correctly answers the question within the context of the situation. Therefore, the correct answer is “Malia spent \cfrac{1}{2} of an hour longer studying for her math test than reading.”
2. A square garden is \cfrac{3}{4} of a meter wide and \cfrac{8}{9} of a meter long. What is its area?
The area of the garden is 1\cfrac{23}{36} square meters.
The area of the garden is \cfrac{27}{32} square meters.
The area of the garden is \cfrac{2}{3} square meters.
The perimeter of the garden is \cfrac{2}{3} meters.
To find the area of a square, you multiply the length and width. So to solve, you multiply the fractional lengths by mulitplying the numerators and multiplying the denominators.
\cfrac{24}{36} can be simplified to \cfrac{2}{3}.
Therefore, the correct answer is “The area of the garden is \cfrac{2}{3} square meters.”
3. Zoe ate \cfrac{3}{8} of a small cake. Liam ate \cfrac{1}{8} of the same cake. How much more of the cake did Zoe eat than Liam?
Zoe ate \cfrac{3}{64} more of the cake than Liam.
Zoe ate \cfrac{1}{4} more of the cake than Liam.
Zoe ate \cfrac{1}{8} more of the cake than Liam.
Liam ate \cfrac{1}{4} more of the cake than Zoe.
To find how much more cake Zoe ate than Liam, you subtract. Since the fractions have the same denominator, you subtract the numerators and keep the denominator the same.
\cfrac{2}{8} can be simplified to \cfrac{1}{4}.
Therefore, the correct answer is “Zoe ate \cfrac{1}{4} more of the cake than Liam.”
4. Lila poured \cfrac{11}{12} cup of pineapple and \cfrac{2}{3} cup of mango juice in a bottle. How many cups of juice did she pour into the bottle altogether?
Lila poured 1 \cfrac{7}{12} cups of juice in the bottle altogether.
Lila poured \cfrac{1}{4} cups of juice in the bottle altogether.
Lila poured \cfrac{11}{18} cups of juice in the bottle altogether.
Lila poured 1 \cfrac{3}{8} cups of juice in the bottle altogether.
To find the total amount of juice that Lila poured into the bottle, you need to add. Since the fractions have unlike denominators, you need to find a common denominator first.
You can use 12 as the common denominator, so \cfrac{2}{3} becomes \cfrac{8}{12}. Then you can add.
\cfrac{19}{12} can be simplified to 1 \cfrac{7}{12}.
Therefore, the correct answer is “Lila poured 1 \cfrac{7}{12} cups of juice in the bottle altogether.”
5. Killian used \cfrac{9}{10} of a gallon of paint to paint his living room and \cfrac{7}{10} of a gallon to paint his bedroom. How much paint did Killian use in all?
Killian used \cfrac{2}{10} gallons of paint in all.
Killian used \cfrac{1}{5} gallons of paint in all.
Killian used \cfrac{63}{100} gallons of paint in all.
Killian used 1 \cfrac{3}{5} gallons of paint in all.
To find the total amount of paint Killian used, you add the amount he used for the living room and the amount he used for the kitchen. Since the fractions have the same denominator, you add the numerators and keep the denominators the same.
\cfrac{16}{10} can be simplified to 1 \cfrac{6}{10} and then further simplified to 1 \cfrac{3}{5}.
Therefore, the correct answer is “Killian used 1 \cfrac{3}{5} gallons of paint in all.”
6. Evan pours \cfrac{4}{5} of a liter of orange juice evenly among some cups.
He put \cfrac{1}{10} of a liter into each cup. How many cups did Evan fill?
Evan filled \cfrac{2}{25} cups.
Evan filled 8 cups.
Evan filled \cfrac{9}{10} cups.
Evan filled 7 cups.
To find the number of cups Evan filled, you need to divide the total amount of orange juice by the amount being poured into each cup. To divide fractions, you mulitply the first fraction (the dividend) by the reciprocal of the second fraction (the divisor).
\cfrac{40}{5} can be simplifed to 8.
Therefore, the correct answer is “Evan filled 8 cups.”
Fraction word problems FAQs
Fraction word problems are math word problems involving fractions that require students to use problem-solving skills within the context of a real-world situation. Fraction word problems may involve addition, subtraction, multiplication, or division of fractions.
To solve fraction word problems, first you need to determine the operation. Then you can write an equation and solve the equation based on the arithmetic rules for that operation.
Fraction word problems and decimal word problems are similar because they both involve solving math problems within real-world contexts. Both types of problems require understanding the problem, determining the operation needed to solve it (addition, subtraction, multiplication, division), and solving it based on the arithmetic rules for that operation.
The next lessons are
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Free Printable Fraction Word Problems Worksheets for 6th Grade
Fraction Word Problems: Discover a collection of free printable Math worksheets for Grade 6 students, focusing on solving real-life scenarios involving fractions. Enhance learning and problem-solving skills with Quizizz's resources.
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Fraction Word Problems worksheets for Grade 6 are an essential resource for teachers looking to help their students master the challenging world of fractions in math. These worksheets provide a variety of math word problems that incorporate fractions, allowing students to practice their skills in a fun and engaging way. Teachers can use these worksheets to supplement their lesson plans, provide extra practice for struggling students, or even as a form of assessment to gauge their students' understanding of the material. With a wide range of topics covered, from addition and subtraction of fractions to more complex problems involving ratios and proportions, these Grade 6 worksheets are a valuable tool for any math teacher looking to enhance their students' learning experience.
In addition to Fraction Word Problems worksheets for Grade 6, teachers can also utilize Quizizz, an interactive platform that offers a variety of educational resources, including quizzes, games, and other engaging activities. Quizizz allows teachers to create custom quizzes and games based on the content they are teaching, making it a perfect complement to the worksheets they are already using in their classroom. With Quizizz, students can practice their math skills in a more interactive and enjoyable way, helping to solidify their understanding of the material. Furthermore, Quizizz provides teachers with valuable data and insights into their students' progress, allowing them to identify areas where additional support may be needed. By incorporating both Fraction Word Problems worksheets for Grade 6 and Quizizz into their lesson plans, teachers can provide a well-rounded and effective learning experience for their students.
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How to add and subtract fractions with like denominators.
The easiest way to learn how to add and subtract fractions with like denominators is to think of addition and subtraction of whole numbers. Here, since the denominators are the same, add or subtract the numerators, then write the result over the same denominator.
How to add and subtract fractions with unlike denominators
To successfully add and subtract fractions with unlike denominators , you need to follow the steps below:
Find the least common multiple (LCM) of the denominators. To find the LCM of the denominators, find the multiples of each denominator. Then, look for the lowest multiple that is common to both denominators. That will be the LCM.
Rewrite each fraction to its equivalent fraction with a denominator equal to the least common multiple(LCM).
Add or subtract the numerator as required in the problem. The answer's denominator will be the same as the denominator of the fractions being added or subtracted.
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Adding and Subtracting Fractions
Sixth grade adding and subtracting fractions.
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Course: 5th grade > Unit 4
- Adding fractions word problem: paint
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Add and subtract fractions word problems
- Add and subtract fractions: FAQ
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- a proper fraction, like 1 / 2 or 6 / 10
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Daily Lesson Plan (DLP) in Mathematics Grade 6 Quarter 1 Week 1
Content Standards:
The learner demonstrates understanding of the four fundamental operations involving fractions.
Performance Standards:
The learner is able to apply the four fundamental operations involving fractions in mathematical problems and real-life situations.
Learning Competencies/ Objectives:
a.) The learner adds simple fractions and mixed numbers without or with regrouping.
b.) simple fractions and mixed numbers without or with regrouping.
c.) The learner solves routine and non-routine problems involving addition and/or subtraction of fractions using appropriate problem solving strategies and tools.
d.) The learner creates problems (with reasonable answers) involving addition and/or subtraction of fractions.
Daily Lesson Plan (DLP) in Mathematics Grade 6
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Fraction Word Problems (Grade 5)
These lessons, with videos, examples and solutions help Grade 5 students learn to solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Related Pages Common Core for Grade 5 More Lessons for Grade 5
For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.
Common Core: 5.NF.2
Suggested Learning Targets
- I can solve addition and subtraction word problems with fractions.
- I can estimate fractions to make sense of my answer.
Solve Fraction Word Problems with Visual Bar Models
Example: Kayla weighed her Halloween treats. She counted 1/4 of a pound of lollipops and 2/7 of a pound of gobstoppers. She also counted 1/3 of a pound of mints. How many pounds of candy did Kayla have altogether?
Add mixed numbers word problems
Example: While gardening, Jan spend 1 3/4 hours planting and 2 1/8 hours trimming. What was the total hours worked by Jan in her garden?
Solve word problems involving addition of fractions - unlike denominators
Example: Matthew ran 1/6 of a mile then took a break before running another 3/4 of a mile. How far did Matthew run in all?
Subtracting Fractions From Whole Numbers Solve a word problem using bar models.
Example: A craft store has a 9-yard spool of ribbon. In the morning, a customer buys 1/5 yard of ribbon from the spool. In the afternoon, another customer buys 7/10 yard of ribbon from the spool. How much ribbon is left?
Adding and subtracting unlike fractions word problems
- Drew and Maddy were filling the class raised garden bed with soil. Drew shoveled in 1/3 of a cubic yard, and Maddy shoveled in 1/2 of a cubic yard. How much soil did they put into the garden bed altogether?
- Caden invited Owen over to his house. Caden shared his chocolate stash from last Halloween. He still had 4/5 of a pound of chocolate. Caden asked Owen how much chocolate he would like. Owen said that he would like 1/3 of a pound of chocolate. How much chocolate does Caden have left?
Adding and subtracting mixed numbers word problems
- Jaida went gold panning and found 1 1/5 pounds of gold. The next day she found 3 1/4 pound more. How much total gold did Jaida find?
- Jonathan collected 4 1/2 kilograms of filberts. He gave 2 3/4 kilograms to his friend. How many kilograms of filberts does Jonathan have now?
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Add & subtract fractions word problems
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Word Problems Involving Addition and Subtraction
Word problems involving addition and subtraction are discussed here step by step.
There are no magic rules to make problem solving easy, but a systematic approach can help to the problems easily.
Word problems based on addition are broadly of two types: (a) When objects of two or more collections are put together. For example:
Amy has 20 lemon sweets and 14 orange sweets. What is the total number of sweets Amy has? (b) When an increase in number takes place.
For example:
Victor has 14 stamps. His friend gave him 23 stamps. How many stamps does Victor have in all? The key words used in problems involving addition are:
s um; total; in all; all together.
Word problems based on subtraction are of several types: (a) Partitioning : Take away, remove, given away.
(b) Reducing : Find out how much has been given away or how much remains.
(c) Comparison : More than / less than.
(d) Inverse of addition : How much more to be added. The key words to look out for in a problem sum involving subtraction are: take away; how many more ; how many less ; how many left ; greater ; smaller.
1. The girls had 3 weeks to sell tickets for their play. In the first week, they sold 75 tickets. In the second week they sold 108 tickets and in the third week they sold 210 tickets. How may tickets did they sell in all? Tickets sold in the first week = 75
Tickets sold in the second week = 108
Tickets sold in the third week = 210
Total number of tickets sold = 75 + 108 + 210 = 393
Answer: 393 tickets were sold in all.
2. Mr. Bose spent $450 for petrol on Wednesday. He spent $125 more than that on Thursday. How much did he spend on petrol on those two days. This problem has to be solved in two steps.
Step 1: Money spent for petrol on Thursday
450 + 125 = $575 Step 2: Money spent for petrol on both days
450 + 575 = $1025
Examples on word problems on addition and subtraction:
1. What is the sum of 4373, 4191 and 3127? Solution: The numbers are arranged in columns and added.
Therefore, sum =11,691
2. What is the difference of 3867 and 1298?
Solution: The numbers are arranged in columns and subtracted:
Therefore, difference = 2569
3. Subtract 4358 from the sum of 5632 and 1324. Solution: Sum of 5632 and 1324
Difference of 6956 and 4358
Therefore, 2598 is the answer.
4. Find the number, which is
(i) 1240 greater than 3267.
(ii) 1353 smaller than 5292. Solution: (i) The number is 1240 more than 3267
Therefore, the number = 3267 + 1240 or = 4507 (ii) The number is 1353 less than 5292
= 5292 – 1353 or
5. The population of a town is 16732. If there are 9569 males then find the number of females in the town. Solution:
6. In a factory there are 35,675 workers. 10,750 workers come in the first shift, 12,650 workers in the second shift and the rest come in the third shift. How many workers come in the third shift? Solution: Number of workers coming in the first and second shift
= 10750 + 12650 = 23400
Therefore, number of workers coming in the third shift = 35675 - 23400 = 12275
Related Concept
● Word Problems on Addition
● Subtraction
● Check for Subtraction and Addition
● Word Problems Involving Addition and Subtraction
● Estimating Sums and Differences
● Find the Missing Digits
● Multiplication
● Multiply a Number by a 2-Digit Number
● Multiplication of a Number by a 3-Digit Number
● Multiply a Number
● Estimating Products
● Word Problems on Multiplication
● Multiplication and Division
● Terms Used in Division
● Division of Two-Digit by a One-Digit Numbers
● Division of Four-Digit by a One-Digit Numbers
● Division by 10 and 100 and 1000
● Dividing Numbers
● Estimating the Quotient
● Division by Two-Digit Numbers
● Word Problems on Division
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Fractions worksheet. These grade 6 fractions worksheets focus on adding and subtracting fractions and mixed numbers with unlike denominators. All worksheets are pdf files and answer keys follow the questions on a separate page.
If you want some additional resources for your kids to practice and improve their fraction math skills further, here are some 6th Grade addition and subtraction of fractions free printable worksheets, games, exercises, and quizzes that you can use: Online games and quizzes test your knowledge and speed of adding and subtracting fractions, such ...
Grade 6 MathQuarter 1Episode 3: Solving Problems Involving Addition or Subtraction of FractionsTeacher: Marvin Olaso
MATHLINKS: GRADE 6. Use splitting, replicating, and equivalent fractions. Simplify fractions. problems. equivalent fractions to the "big 1"). common denominator. Review using a common denominator to add fractions. Use diagrams, mental math, and estimation to add. Explore addition of mixed numbers.
Common Core State Standards. How does this relate to 4 th grade math to 6 th grade math?. Grade 4: Number and Operations—Fractions (4.NF.B.3d) Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
With a wide range of topics covered, from addition and subtraction of fractions to more complex problems involving ratios and proportions, these Grade 6 worksheets are a valuable tool for any math teacher looking to enhance their students' learning experience.
Analysis: To solve this problem, we will add two mixed numbers, with the fractional parts having unlike denominators. Solution: Answer: The warehouse has 21 and one-half meters of tape in all. Example 8: An electrician has three and seven-sixteenths cm of wire. He needs only two and five-eighths cm of wire for a job.
How to add and subtract fractions with like denominators. The easiest way to learn how to add and subtract fractions with like denominators is to think of addition and subtraction of whole numbers. Here, since the denominators are the same, add or subtract the numerators, then write the result over the same denominator.
Using these sheets will help your child to add and subtract fractions with the same denominator, add and subtract fractions with different denominators and apply their equivalent fractions knowledge. Over 4,500 free worksheets available to learn and practice math. Designed by experts and adapted to the demands of each country and school grade.
6th Grade Adding and Subtracting Fractions Worksheets Explained: A fraction is a part of a whole. It consists of two natural numbers, say a and b, and written in an ' a b ' format, in which the number a represents the number of equal parts that are being counted, and number b represents the number of equal parts there are in the whole. These grade 6 adding and subtracting fractions ...
Math worksheets: Adding fractions to mixed numbers (unlike denominators) Below are six versions of our grade 6 math worksheet on adding mixed fractions to mixed numbers. Denominators range from 0-25. These worksheets are pdf files. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4 Worksheet #5 Worksheet #6. 5 More.
Problem nº 3. Solution to Problem nº 1. This is an example of a problem involving the addition of a whole number and a fraction. The simplest way to show the number of cookies I ate is to write it as a mixed number. And the data given in the word problem gives us the result: 9 biscuits and 5 / 6 of a biscuit = 9 5 / 6 biscuits. Solution to ...
Finding Unknown Fractions in Real World (Multi-Step Problems) Some problems involving fractions may take two or more steps to solve. We can construct block models to solve such problems too. Examples: 1. Maxwell used up liters of his car's gasoline on Tuesday and liter of gasoline on Saturday. If Maxwell originally had liters of
Add and subtract fractions word problems. Google Classroom. Amir is sorting his stamp collection. He made a chart of the fraction of stamps from each country in his collection. 7 12 of Amir's stamps are from either Morocco or Spain. Country. Fraction of stamps. France. 1 3.
1. add simple fractions without regrouping; (M6NS-Ia-86) 2. add simple fractions with regrouping; (M6NS-Ia-86) and 3. add fractions and mixed numbers with regrouping; (M6NS-Ia-86) 4. solve routine and non-routine problems involving addition and/or subtraction of fractions using appropriate problem-solving strategies and tools. (M6NS-Ia-87.3)
View Download. Self Learning Module | PDF. Description. Math 6 Quarter 1 - Module 1.2 Solving Routine and Non-Routine Problems Involving Addition and/or Subtraction of Fractions Using Appropriate Problem Solving Strategies Tools. Objective.
c.) The learner solves routine and non-routine problems involving addition and/or subtraction of fractions using appropriate problem solving strategies and tools. d.) The learner creates problems (with reasonable answers) involving addition and/or subtraction of fractions. Daily Lesson Plan (DLP) in Mathematics Grade 6
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K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. 6th grade math addition and subtraction worksheets including missing addend and missing minuend or subtrahend problems.
Grade 6 MathQuarter 1Episode 5 : Solving Routine and Non routine Problems Involving Multiplication without or with Addition or Subtraction of Fractions and M...
How to solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, by using visual fraction models or equations to represent the problem. Examples and step by step solutions. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers, Common Core Grade 5, 5.nf.2
Like & unlike denominators. Below are our grade 5 math word problem worksheet on adding and subtracting fractions. The problems include both like and unlike denominators, and may include more than two terms. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4. Worksheet #5 Worksheet #6.
Word problems involving addition and subtraction are discussed here step by step. There are no magic rules to make problem solving easy, but a systematic approach can help to the problems easily. Word problems based on addition are broadly of two types: (a) When objects of two or more collections are put together.