Solve Fraction Word Problems

Free math video lessons to help Grade 5 students learn how to set up and solve fraction word problems involving addition, subtraction, and multiplication.

Common Core Standards: 5.OA.1, 5.OA.2, 5.NF.4a, 5.NF.6

New York State Common Core Math Grade 5, Module 4, Lesson 11 and Lesson 12

Lesson 11 Concept Development

Problem 1
Kim and Courtney share a 16-ounce box of cereal. By the end of the week, Kim has eaten 3/8 of the box, and Courtney has eaten 1/4 of the box of cereal.
What fraction of the box is left?

Problem 2
Mathilde has 20 pints of green paint. She uses 2/5 of it to paint a landscape and 3/10 of it while painting a clover. She decides that for her next painting she will need 14 pints of green paint.
How much more paint will she need to buy?

Problem 3
Jack, Jill, and Bill each carried a 48-ounce bucket full of water down the hill. By the time they reached the bottom Jack’s bucket was only 3/4 full Jill’s was 2/3 full and Bill’s was 1/6 full.
How much water did they spill altogether on their way down the hill?

Problem 4
Mrs. Diaz makes 5 dozen cookies for her class. One-ninth of her 27 students are absent the day she brings the cookies. If she shares the cookies equally among the students who are present, how many cookies will each student get?

Lesson 12 Concept Development

Problem 1
A baseball team played 32 games and lost 8. Katy was the catcher in 5/8 of the winning games and 1/4 of the losing games.
a. What fraction of the games did the team win?
b. In how many games did Katy play catcher?

Problem 2
In Ms Elliott’s garden, 1/8 of the flowers are red, 1/4 of them are purple, and 1/5 of the remaining flowers are pink. If there are 128 flowers, how many flowers are pink?

Problem 3
Lillian and Darlene plan to get their homework finished within one hour. Darlene completes her math homework in 3/5 hour. Lillian completes her math homework with 5/6 hour remaining. Who completes her homework faster and by how many minutes?
Bonus: Give the answer as a fraction of an hour.

Lesson 11 Homework Question 1

1. 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?

Lesson 11 Homework Question 2

1. A-Plus Auto Body is painting flames on a customer’s car They need 2 1/2 pints of red, 3 pints of orange, 3/4 pint of yellow, and 7 pints of blue paint. They use 3/4 of the blue paint to make the flames. They need 7 3/4 pints to paint the next car blue. How much more blue paint will they need to buy?

Lesson 11 Homework Question 3

1. Giovanna, Frances, and their dad each carried a 10-pound bag of soil into the backyard. After putting soil in the first flower bed, Giovanna’s bag was 5/8 full Frances’ bag was 2/5 full and their dad’s was 3/4 full. How many ounces of soil did they put in the first flower bed altogether?

Lesson 11 Homework Question 4

1. Mr. Chan made 252 cookies for the Annual Fifth Grade Class Bake Sale. They sold 3/4 of them and 3/9 of the remaining cookies were given to P.T.A. members. Mr. Chan allowed the 12 student-helpers to divide the cookies that were left equally. How many cookies will each student get?

Lesson 12 Problem Set

1. A baseball team played 32 games, and lost 8. Katy was the catcher in 5/8 of the winning games and 1/4 of the losing games.
a. What fraction of the games did the team win?
b. In how many games did Katy play catcher?
2. In M s Elliott’s garden, 1/8 of the flowers are red, 1/4 of them are purple, and 1/5 of the remaining flowers are pink. If there are 128 flowers, how many flowers are pink?
3. Lillian and Darlene plan to get their homework finished within one hour. Darlene completes her math homework in 3/5 hour. Lillian completes her math homework with 5/8 hour remaining. Who completes her homework faster and by how many minutes?
Bonus: Give the answer as a fraction of an hour.
4. Create and solve a story problem about a baker and some flour whose solution is given by the expression 1/4 x (3 + 8).
5. Create and solve a story problem about a baker and 36 kilograms of an ingredient that is modeled by the following tape diagram. Include at least one fraction in your story.
6. Of the students in M Smith’s fifth grade class, 1/3 were absent on Monday. Of the students in Mrs. Jacobs’ class, 2/5 were absent on Monday. If there were 4 students absent in each class on Monday, how many students are in each class?

Lesson 12 Homework Guidance

1. Terrence finished a word search in 3/4 of the time it took Frank. Charlotte finished the word search in 2/3 of the time it took Terrence. Frank finished the word search in 32 minutes. How long did it take Charlotte to finish the word search?
2. Ms. Phillips ordered 56 pizzas for a school fundraiser. Of the pizzas ordered, 2/3 of them were pepperoni, 19 were cheese, and the rest were veggie pizzas. What fraction of the pizzas was veggie?
3. 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?
4. Mr. Chan made 252 cookies for the Annual Fifth Grade Class Bake Sale. They sold 3/4 of them and 3/9 of the remaining cookies were given to P.T.A. members. Mr. Chan allowed the 12 student-helpers to divide the cookies that were left equally. How many cookies will each student get?
Bonus: Give the answer as a fraction of a minute.
5. Create and solve a story problem about a runner who is training for a race. Include at least one fraction in your story.
6. Create and solve a story problem about a two friends and their weekly allowance whose solution is given by the expression 1/5(12 + 8).

Lesson 12 Homework Solution Question 3

This video shows how to solve a four step fraction word problem using tape diagrams.

Lesson 12 Homework Solution Question 4

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.