Videos, examples, and solutions to help Grade 5 students learn how to relate fractions as division to fraction of a set.

Common Core Standards: 5.NF.4a

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Common Core For Grade 5

Grade 5, Module 4, Lesson 6 Worksheets

The following diagram shows some examples of how to find the fraction of a set. Scroll down the page for more examples and solutions.

Lesson 6 Application Problem

Olivia is half the age of her brother, Adam. Olivia’s sister, Ava, is twice as old as Adam. Adam is 4 years old. How old is each sibling? Use tape diagrams to show your thinking.

Lesson 6 Concept Development

Problem 1: 1/3 of 6

Problem 2: 1/4 of 12

Problem 3

Mrs. Pham has 8 apples. She wants to give 3/4 of the apples to her students. How many apples will her students get?

Problem 4

In a class of 24 students, 5/6 are boys. How many boys are in the class?

**Relate fractions as division to fraction of a set**

Examples:

- 1/4 of 12

In a class of 24 students, 5/6 are boys. How many boys are in the class?

Lesson 6 Problem Set

- Find the value of each of the following.

d. 1/8 of 24, 3/8 of 24, 4/8 of 24, 6/8 of 24, 7/8 of 24 - Find 4/7 of 14. Draw a set and shade to show your thinking.
- How does knowing 1/8 of 24 help you find three-eighths of 24? Draw a picture to explain your thinking.
- There are 32 students in a class. Of the class, 3/8 bring their own lunch. How many students bring their lunch?
- Jack collected 18 ten dollar bills while selling tickets for a show. He gave 1/6 of the bills to the theater and kept the rest. How much money did he keep?

Lesson 6 Homework

This video shows how to split and interpret sets of numbers and their fractional parts. An array is used to demonstrate each problem.

- Find the value of each of the following.

1/3 of 12

2/3 of 12

3/3 of 12 - Find 2/3 of 18. Draw a set and shade to show your thinking.

Homework Questions 1 and 2

Homework Questions 3 to 5

3. How does knowing 1/5 of 10 help you find 3/5 of 10? Draw a picture to explain your thinking.

4. Sara just turned 18 years old. She spent 4/9 of her life living in Rochester, NY. For how many years did Sara live in Rochester?

5. A farmer collects 12 dozen eggs from her chickens. She sells 5/9 of the eggs at the farmers’ market and gives the rest to friends and neighbors.

a. How many eggs does she give away?

b. If she sells each dozen for $4.50, how much will she earn from the eggs she sells?

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