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
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
Mrs. Pham has 8 apples. She wants to give 3/4 of the apples to her students. How many apples will her students get?
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
Lesson 6 Problem Set
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.
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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