problem solving involving fractions grade 4

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Writing & comparing fractions word problems

Comparing fractions in context.

Below are word problem worksheets involving the writing and comparing of fractions. Both "parts of whole" and "parts of group" are considered. If comparing fractions, either i) the fractions will have like denominators, or ii) the fractions will be significantly different (e.g 1/8 vs 3/4) so that students can recognize which fraction is larger without necessarily converting to like denominators.

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FRACTION WORD PROBLEMS FOR GRADE 4 WITH SOLUTION

Problem 1 :

If a tailor uses 3/4 m of cloth to make a skirt, how much cloth does he need for 7 skirts ?

(A) 5 ¼ m     (B) 2 ¼ m    (C)  3 ¼ m

Problem 2 :

John made 5 cups of tea. She used ¾ teaspoonful of sugar for each cup of tea. How many teaspoonful of sugar did she use in all ?

(A) 1 ¾      (B) 3 ¾      (C)  1 ¾

Problem 3 :

Mary bought 4/3 kg  of beef. She cooked  ¾ kg of it for lunch. How much beef did she cook ?

(A) 1 kg        (B) 3 kg       (C)  4 kg

Problem 4 :

Jennifer had 18 picture cards. She gave 1/3 of them to Mary. How many picture cards does she have now ?

(A) 12        (B) 13        (C)  14

Problem 5 :

Mr.John weights 80 kg. His son is 3/5  as heavy. Find their total weight.

(A) 128 kg      (B) 135 kg    (C)  142 kg

Problem 6 :

A man gets $450 per month. He gives 1/8   of the amount to his wife and 1/6   to his children. How much will each get ?  

(A) 128          (B) 35        (C) 75

Problem 7 :

Mary poured 5/8 liter of apple juice equally in to 5 glasses. How much of apple juice was there in each glass ?

(A) 1/8 liter       (B)  1/5 liter        (C) 1/6 liter

Problem 8 :

John cuts lead strips to make stained-glass windows. He has a 3  3/4 foot strip of lead and cuts into 5 equal pieces. How long is each piece of lead ?

(A) 1/6 feet     (B)  3/4 feet     (C) 2/3 feet

Problem 9 :

Mrs.Mathew divided 3/4  kg of grapes equally among 6 children. How many kilograms of grapes did each child get ?

(A)  1/8 kg        (B)  3 /11 kg      (C) 2/3 kg

Problem 10 : 

The perimeter of square piece of paper is  3/4 m. What is the length of its side ?

(A)  1/15 m       (B)  3 /16 m        (C) 2/3 m

Problem 11 :

The product of two fractions is 30 1/3. One of them is 5 2/3.  Find the other ?

(A)  91/17        (B)  15/19       (C) 25/97

Problem 12 :

How many pieces of wood each ⅕ m long can be cut from a piece 3 m long ? 

(A)  18  pieces      ( B)   11  pieces      (C)  15  pieces

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Curriculum  /  Math  /  4th Grade  /  Unit 5: Fraction Operations  /  Lesson 4

Fraction Operations

Lesson 4 of 21

Criteria for Success

Tips for teachers, anchor tasks.

Problem Set

Target Task

Additional practice.

Solve word problems that involve the addition and subtraction of fractions where the total is less than or equal to one.

Common Core Standards

Core standards.

The core standards covered in this lesson

Number and Operations—Fractions

4.NF.B.3.D — 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.

The essential concepts students need to demonstrate or understand to achieve the lesson objective

• Make sense of a three-act task and persevere in solving it (MP.1).
• Solve one-, two-, and multi-step word problems that involve the addition and subtraction of fractions less than or equal to 1 (MP.4).

Suggestions for teachers to help them teach this lesson

Let students work on each problem in the Problem Set independently and circulate to see whether students are solving correctly. If not, come back together to discuss how/what to draw on a tape diagram, then allow them to try again on their own. 

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding

Act 1: Watch the following video:  A Delicious Mix .

a.   What do you notice? What do you wonder?

b.   What fraction of each kind of candy is in the bag?

Guiding Questions

3 Act: A Delicious Mix by Catherine Castillo is made available on Ms Castillos Math . Accessed July 17, 2018, 11:39 a.m..

Act 2: Use the following information to solve.

Act 3: Reveal the answer.

Was your answer reasonable? Why or why not?

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

Discussion of Problem Set

• How many students played either soccer or basketball in #2? What role does the word “or” serve in this problem? 
• I think the answer to #4 is $${{7\over8}}$$ . Do you agree or disagree with me? Why? 
• How did you decide what the possible mass of the music and art books was in #7(b)? 
• What was the total amount of toppings, in gallons, in #8? What is another way to represent this amount? 

A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved

Solve. Show or explain your work.

Gauvain had $$5\over 6$$  yard of ribbon. He used $$3\over 6$$  to tie a bow on a gift. How much ribbon did he have left?

Of the books Ayala read this year, $$1\over 12$$  were science fiction books and  $$7\over 12$$ were mysteries. What fraction of the books were neither science fiction nor mysteries?

Student Response

An example response to the Target Task at the level of detail expected of the students.

The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

Answer keys for Problem Sets and Extra Practice Problems are available with a Fishtank Plus subscription.

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Topic A: Building, Adding, and Subtracting Fractions Less Than or Equal to 1

Decompose fractions as a sum of unit fractions and as a multiple of a unit fraction.

4.NF.B.3.B 4.NF.B.4.A

Decompose fractions as a sum of fractions with the same denominator in more than one way.

Add and subtract fractions within 1 with the same units.

4.NF.B.3.A 4.NF.B.3.C

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Topic B: Building, Adding, and Subtracting Fractions Less Than 2

Decompose non-unit fractions less than 2 as a sum of unit fractions, as a sum of non-unit fractions, and as a whole number times a unit fraction.

Add and subtract fractions that require regrouping where the total is less than 2. 

Add two fractions where one denominator is a multiple of the other using the denominators 2, 3, 4, 5, 6, 8, 10, and 12.

Topic C: Building, Adding, and Subtracting Fractions Greater Than or Equal to 2

Decompose and compose non-unit fractions greater than two as a sum of unit fractions, as a sum of non-unit fractions, and as a whole number times a unit fraction. 

Convert fractions greater than 1 to mixed numbers.

4.NF.B.3.B 4.NF.B.3.C

Convert mixed numbers to fractions greater than 1.

Compare and order fractions greater than 1 using various methods.

Add fractions and mixed numbers where the total is greater than or equal to 2.

Subtract fractions and mixed numbers where the total is greater than or equal to 2.

Add and subtract mixed numbers using a variety of mental strategies.

Solve word problems involving addition and subtraction of fractions.

Topic D: Multiplication of Fractions

Multiply a whole number by a fraction.

Multiply a whole number by a mixed number.

Solve word problems involving multiplication of fractions.

Solve word problems involving addition, subtraction, and multiplication of fractions.

4.NF.B.3.D 4.NF.B.4.C

Topic E: Line Plots

Make a line plot (dot plot) representation to display a data set of measurements in fractions of a unit.

Solve problems using information presented in line plots.

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Fractions Problems

Fourth grade fractions problems.

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Fraction Word Problems Worksheets for 4th Graders

These fun fraction word problems worksheets for 4th graders online are all you need to help your child strengthen their knowledge and skills. Make the activity of learning something to look forward to by using these interactive fraction word problems worksheets. Get started now to add fun to your 4th grader's routine!

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Fraction Addition And Subtraction: Word Problems

Description.

Objective:  Solve word problems involving addition and subtraction of  fractions.

As students move into problem solving in Lesson 19, they create tape diagrams or number lines to represent and solve fraction addition and subtraction word problems. These problems bridge students into work with mixed numbers, which follows the Mid-Module Assessment.

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• Grade 4 Mathematics Module 5, Topic D, Lesson 19

Prerequisites

• 4.NF.B.3.A ,
• 4.NF.B.3.B ,
• CCSS Standard:

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Adding and Subtracting Fractions Worksheets 4th Grade

Adding and subtracting fractions worksheets 4th grade help students in practicing questions on adding and subtracting fractions with both like and unlike denominators. In grade 4, students learn about equivalent fractions and comparing fractions using arithmetic operations like add and subtract,; these worksheets help in building the foundation strong for them to solve complex questions in the future.

Benefits of 4th Grade Adding and Subtracting Fractions Worksheets

Students find the adding and subtracting fractions worksheets 4th grade beneficial as they provide a step-by-step procedure of solving the questions that makes it simple for students to understand the concept and the logic behind using the step. These 4th grade math worksheets help students in understanding the ways to add and subtract with like denominators with whole numbers, mixed numbers, and improper fractions. Grade 4 Adding and subtracting fractions worksheets comes along with an answer key that helps students compare their solutions and make corrections accordingly.

☛ Practice : Grade 4 Interactive Adding and Subtracting Fractions Worksheets

Printable PDFs for Grade 4 Adding and Subtracting Fractions Worksheets

Students can download the PDF format of 4th Grade adding and subtracting fractions worksheets online for free.

• Math 4th Grade Adding and Subtracting Fractions Worksheet
• Grade 4 Math Adding and Subtracting Fractions Worksheet
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Fraction Word Problems (Difficult)

Here are some examples of more difficult fraction word problems. We will illustrate how block models (tape diagrams) can be used to help you to visualize the fraction word problems in terms of the information given and the data that needs to be found.

Related Pages Fraction Word Problems Singapore Math Lessons Fraction Problems Using Algebra Algebra Word Problems

Block modeling (also known as tape diagrams or bar models) are widely used in Singapore Math and the Common Core to help students visualize and understand math word problems.

Example: 2/9 of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?

Solution: Draw a diagram with 9 equal parts: 2 parts to represent the adults and 7 parts to represent the children.

5 units = 95 1 unit = 95 ÷ 5 = 19 7 units = 7 × 19 = 133

Answer: There are 133 children in the restaurant.

Example: Gary and Henry brought an equal amount of money for shopping. Gary spent $95 and Henry spent $350. After that Henry had 4/7 of what Gary had left. How much money did Gary have left after shopping?

350 – 95 = 255 3 units = 255 1 unit = 255 ÷ 3 = 85 7 units = 85 × 7 = 595

Answer: Gary has $595 after shopping.

Example: 1/9 of the shirts sold at Peter’s shop are striped. 5/8 of the remainder are printed. The rest of the shirts are plain colored shirts. If Peter’s shop has 81 plain colored shirts, how many more printed shirts than plain colored shirts does the shop have?

Solution: Draw a diagram with 9 parts. One part represents striped shirts. Out of the remaining 8 parts: 5 parts represent the printed shirts and 3 parts represent plain colored shirts.

3 units = 81 1 unit = 81 ÷ 3 = 27 Printed shirts have 2 parts more than plain shirts. 2 units = 27 × 2 = 54

Answer: Peter’s shop has 54 more printed colored shirts than plain shirts.

Solve a problem involving fractions of fractions and fractions of remaining parts

Example: 1/4 of my trail mix recipe is raisins and the rest is nuts. 3/5 of the nuts are peanuts and the rest are almonds. What fraction of my trail mix is almonds?

How to solve fraction word problem that involves addition, subtraction and multiplication using a tape diagram or block model

Example: Jenny’s mom says she has an hour before it’s bedtime. Jenny spends 3/5 of the hour texting a friend and 3/8 of the remaining time brushing her teeth and putting on her pajamas. She spends the rest of the time reading her book. How long did Jenny read?

How to solve a four step fraction word problem using tape diagrams?

Example: In an auditorium, 1/6 of the students are fifth graders, 1/3 are fourth graders, and 1/4 of the remaining students are second graders. If there are 96 students in the auditorium, how many second graders are there?

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Fraction Addition Word Problems Worksheets

Let children work on our printable adding fractions word problems worksheets hammer and tongs! Whether it's sharing a meal with your friends or measuring the ingredients for a recipe, adding fractions is at the heart of it all, hence our worksheets. A wealth of real-life scenarios that involve addition of fractions with whole numbers and addition of two like fractions, two unlike fractions, and two mixed numbers, our pdf worksheets are indispensable for grade 3, grade 4, grade 5, and grade 6 students. The free fraction addition word problems worksheet is worth a try!

Adding Fractions with Whole Numbers

Dazzle 3rd grade kids with a gift of lifelike story problems! If you're a novice up against fraction addition, don't miss our pdf adding fractions word problems worksheets using whole numbers and fractions!

• Download the set

Adding Like Fractions Word Problems

Gerald ate 5/9 of an apple, and Garry ate 4/9 of it. How many apples did they eat in all? Good going! They both ate one whole apple. Simply combine the numerators and solve the like fraction word problems here!

Adding Unlike Fractions

A potpourri of word problems that involve adding unlike fractions, these pdfs mean that 4th grade and 5th grade students will breeze through addition of fractions with different denominators in their day-to-day lives.

Adding Mixed Numbers | Same Denominators

See in your mind's eye adding mixed numbers with same denominators riding on the several real-life scenarios in our printable worksheets! Convert the mixed numbers to fractions, and add them as usual.

Adding Mixed Numbers | Different Denominators

Steal a march on your 5th grade and 6th grade peers by getting your act together to power through the real-world situations featured in this set of printable adding mixed numbers word problems worksheets.

Related Worksheets

» Adding Like Fractions

» Adding Unlike Fractions

» Adding Mixed Numbers

» Adding Fractions with Whole Numbers

» Fraction Word Problems

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Word Problems on Fraction

In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

1.  4/7 of a number is 84. Find the number. Solution: According to the problem, 4/7 of a number = 84 Number = 84 × 7/4 [Here we need to multiply 84 by the reciprocal of 4/7]

= 21 × 7 = 147 Therefore, the number is 147.

2.  Rachel took \(\frac{1}{2}\) hour to paint a table and \(\frac{1}{3}\) hour to paint a chair. How much time did she take in all?

3. If 3\(\frac{1}{2}\) m of wire is cut from a piece of 10 m long wire, how much of wire is left?

Total length of the wire = 10 m

Fraction of the wire cut out = 3\(\frac{1}{2}\) m = \(\frac{7}{2}\) m

Length of the wire left = 10 m – 3\(\frac{1}{2}\) m

            = [\(\frac{10}{1}\) - \(\frac{7}{2}\)] m,    [L.C.M. of 1, 2 is 2]

            = [\(\frac{20}{2}\) - \(\frac{7}{2}\)] m,    [\(\frac{10}{1}\) × \(\frac{2}{2}\)]

            = [\(\frac{20 - 7}{2}\)] m

            = \(\frac{13}{2}\) m

            = 6\(\frac{1}{2}\) m

4. One half of the students in a school are girls, 3/5 of these girls are studying in lower classes. What fraction of girls are studying in lower classes?

Fraction of girls studying in school = 1/2

Fraction of girls studying in lower classes = 3/5 of 1/2

                                                            = 3/5 × 1/2

                                                            = (3 × 1)/(5 × 2)

                                                            = 3/10

Therefore, 3/10 of girls studying in lower classes.

5.  Maddy reads three-fifth of 75 pages of his lesson. How many more pages he need to complete the lesson? Solution: Maddy reads = 3/5 of 75 = 3/5 × 75

= 45 pages. Maddy has to read = 75 – 45. = 30 pages. Therefore, Maddy has to read 30 more pages. 6.  A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk each day. They give 24 litres milk in six days. How many cows are there in the herd? Solution: A herd of cows gives 4 litres of milk each day. Each cow gives one-third of total milk each day = 1/3 of 4 Therefore, each cow gives 4/3 of milk each day. Total no. of cows = 4 ÷ 4/3                          = 4 × ¾                          = 3 Therefore there are 3 cows in the herd.

Questions and Answers on Word problems on Fractions:

1. Shelly walked \(\frac{1}{3}\) km. Kelly walked \(\frac{4}{15}\) km. Who walked farther? How much farther did one walk than the other?

2. A frog took three jumps. The first jump was \(\frac{2}{3}\) m long, the second was \(\frac{5}{6}\) m long and the third was \(\frac{1}{3}\) m long. How far did the frog jump in all?

3. A vessel contains 1\(\frac{1}{2}\) l of milk. John drinks \(\frac{1}{4}\) l of milk; Joe drinks \(\frac{1}{2}\) l of milk. How much of milk is left in the vessel?

●   Multiplication is Repeated Addition.

●  Multiplication of Fractional Number by a Whole Number.

●  Multiplication of a Fraction by Fraction.

●  Properties of Multiplication of Fractional Numbers.

●  Multiplicative Inverse.

●  Worksheet on Multiplication on Fraction.

●  Division of a Fraction by a Whole Number.

●  Division of a Fractional Number.

●  Division of a Whole Number by a Fraction.

●  Properties of Fractional Division.

●  Worksheet on Division of Fractions.

●  Simplification of Fractions.

●  Worksheet on Simplification of Fractions.

●  Word Problems on Fraction.

●  Worksheet on Word Problems on Fractions.

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• Fourth Grade
• Fraction grade 4

" class="arrow-title-img"> Fraction word problems grade 4

• INTRODUCTION
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What are some simple tips to fast solving fractions word problems?

Get more contents on fraction word problems grade 4..., fraction problem solving online with answers.

Your kids will have a fantastic experience as they engage in practicing our  fraction word problems grade 4  resources. This  fraction problem solving online with answers  will not only enhance their skills in solving all fraction problems but will illustrate to them the importance of fraction skills as well as their uses in real life.  

In line with this, we have provided your kids with a lot of practice solving fractions of whole word problems, one-step, and multi-step fraction word problems. However, our focus here is, particularly on the problem-solving process.

All practices skills about Fraction word problems grade 4

• Fractions of whole word problems grade 4

Fraction word problems grade 4 lessons

• How to perform fractions of a whole word problem

Hey, kiddos! Only here will you find out  what are some simple tips to fast solving fractions word problems ?

In the first place, always read your word problems carefully. And so, think about what the problem is asking you to do. I.e., do you need to add, subtract, divide or multiply the fraction?

As such, you can now begin to solve and, of course, get inspired by our  Fraction Practice - Fraction worksheets Games Word Problems. 

Finally, simplify if necessary. 

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Fraction Word Problems

Grab this math worksheet of word problems involving adding and subtraction of fractions ideal for grade 4 students, free pdf, subscribe grade1to6.com for full access.

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