Divide a Unit Fraction by a Whole Number

Videos, examples, solutions, and lessons to help Grade 5 students learn how to divide a unit fraction by a whole number.

New York State Common Core Math Grade 5, Module 4, Lesson 26

Worksheets for Grade 5

Common Core Standards: 5.OA.1, 5.NBT.7, 5.NF.7

The following diagram gives an example of dividing dividing a fraction by a whole number using modeling. Scroll down the page for more examples and questions on dividing a fraction by a whole number.
 

Lesson 26 Concept Development

Problem 1
Nolan gives some pans of brownies to his 3 friends to share equally.
a. If he has 3 pans of brownies, how many pans of brownies will each friend get?
b. If he has 1 pan of brownies, how many pans of brownies will each friend get?
c. If he has 1/2 pan of brownies, how many pans of brownies will each friend get?
d. If he has 1/3 pan of brownies, how many pans of brownies will each friend get?

Problem 2
1/5 ÷ 2 = ______

Problem 3
If Melanie pours 1/2 liter of water into 4 bottles, putting an equal amount in each, how many liters of water will be in each bottle?

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Lesson 26 Problem Set

1. Draw a model or tape diagram to solve. Use the thought bubble to show your thinking. Write your quotient in the blank. Use the example to help you.
   a. 1/3 ÷ 2
   b. 1/3 ÷ 4

2. Divide. Then multiply to check.
   a. 1/7 ÷ 3
   b. 1/3 ÷ 6
   e. 1/5 ÷ 2
   f. 1/6 ÷ 3

3. Mariano delivers newspapers. He always puts 3/4 of his weekly earnings in his savings account, then divides the rest equally into 3 piggy banks for spending at the snack shop, the arcade, and the subway.
   a. What fraction of his earnings does Mariano put into each piggy bank?
   b. If Mariano adds $2.40 to each piggy bank every week, how much does Mariano earn per week delivering papers?
   

4. Solomon has read 1/3 of his book. He finishes the book by reading the same amount each night for 5 nights.
   a. What fraction of the book does he read each of the 5 nights?
   b. If he reads 14 pages on each of the 5 nights, how long is the book?

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Lesson 26 Homework
Solve and support your answer with a model or tape diagram. Write your quotient in the blank.
1/2 ÷ 4 = ______
1/3 ÷ 5 = ______

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Lesson 26 Homework
This video shows how to divide unit fractions by whole numbers. Diagrams are used as a concrete presentation of the process.

1. Solve and support your answer with a model or tape diagram. Write your quotient in the blank.
   a. 1/2 ÷ 4 = ______
   b. 1/3 ÷ 6 = ______
2. Divide. Then multiply to check.
   a. 1/2 ÷ 10
   b. 1/4 ÷10
   c. 1/3 ÷ 5
3. Teams of four are competing in a quarter-mile relay race. Each runner must run the same exact distance. What is the distance each teammate runs?

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