Fraction of a Set

New York State Common Core Math Grade 5, Module 4, Lesson 6

Worksheets for Grade 5

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?

• Show Step-by-step Solutions

Relate fractions as division to fraction of a set
Examples:

1. 1/4 of 12
   In a class of 24 students, 5/6 are boys. How many boys are in the class?

• Show Step-by-step Solutions

Lesson 6 Problem Set

1. 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
2. Find 4/7 of 14. Draw a set and shade to show your thinking.
3. How does knowing 1/8 of 24 help you find three-eighths of 24? Draw a picture to explain your thinking.
4. There are 32 students in a class. Of the class, 3/8 bring their own lunch. How many students bring their lunch?
5. 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?

• Show Step-by-step Solutions

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.

1. Find the value of each of the following.
   1/3 of 12
   2/3 of 12
   3/3 of 12
2. Find 2/3 of 18. Draw a set and shade to show your thinking.

• Show Step-by-step Solutions

Homework Questions 1 and 2

• Show Step-by-step Solutions

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?

• Show Step-by-step Solutions

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.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.