Divide a Unit Fraction by a Whole Number


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Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 5
Common Core For Grade 5
Divide Whole Numbers by Unit Fractions (5nf7b)
Divide Fraction Word Problems (5nf7c)




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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. Divide Fractions by Whole Numbers
 

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?




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?

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 = ______

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?

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

Fraction Concoction Game



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