# Multiply Non-unit Fractions by Non-unit Fractions

Videos to help Grade 5 students learn how to multiply non-unit fractions by non-unit fractions.

New York State Common Core Math Module 4, Grade 5, Lesson 15

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

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Lesson 15 Application Problem

Kendra spent 1/3 of her allowance on a book and 2/5 on a snack. If she had four dollars remaining after purchasing a book and snack, what was the total amount of her allowance?

Lesson 15 Concept Development

Problem 1
2/3 of 3/4
Problem 2
2/3 × 2/3
Problem 3
7/9 of 3/7
3/10 × 5/9
5/8 × 4/15
Problem 4
Nigel completes 3/7 of his homework immediately after school and 1/4 of the remaining homework before supper. He finishes the rest after dessert.
What fraction of his work did he finish after dessert?

Lesson 15 Problem Set

1. Solve. Draw any model to explain your thinking. Then write a multiplication sentence.
b. 3/4 of 4/5
c. 2/5 of 2/3
2. Multiply. Draw a model if it helps you, or use the method in the example.
a. 3/4 × 5/6
b. 4/5 × 5/8
c. 2/3 × 6/7
d. 4/9 × 3/10

3. Phillip's family traveled 3/10 of the distance to his grandmother's house on Saturday. They traveled 4/7 of the remaining distance on Sunday. What fraction of the distance to his grandmother's house was traveled on Sunday?
4. Santino bought a 3/4 lb bag of chocolate chips. He used 2/3 of the bag while baking. How many pounds of chocolate chips did he use while baking?
5. Farmer Dave harvested his corn. He stored 5/9 of his corn in one large silo and 3/4 of the remaining corn in a small silo. The rest was taken to market to be sold.
a. What fraction of the corn was stored in the small silo?
b. If he harvested 18 tons of corn, how many tons did he take to market?

Lesson 15 Homework

1. Solve. Draw a model to explain your thinking. Then write a multiplication sentence.

2/3 of 3/4

2. Multiply. Draw a model if it helps you.
3/4 × 4/5

Lesson 15 Homework

This video shows how to multiply non-unit fractions by non-unit fractions using both area models and algorithms.
1. Solve. Draw a model to explain your thinking. Then write a multiplication sentence.
a) 2/3 of 3/4
2. Multiply. Draw a model if it helps you.
a) 5/6 × 3/10

3. Every morning, Halle goes to school with a 1 liter bottle of water. She drinks 1/4 of the bottle before school starts and 2/3 of the rest before lunch.
a. What fraction of the bottle does Halle drink before lunch?
b. How many milliliters are left in the bottle at lunch?

Lesson 15 Homework

1. Solve. Draw a model to explain your thinking. Then write a multiplication sentence.
a) 2/3 of 3/4
b) 2/ 5 of 3/4
c) 2/5 of 4/5
d) 4/5 of 3/4
2. Multiply. Draw a model if it helps you.
a) 5/6 × 3/10
b) 3/4 × 4/5
c) 5/6 × 5/8
d) 3/4 × 5/12
e) 8/9 × 3/2
f) 3/7 × 2/9
Lesson 15 Homework

3. Every morning, Halle goes to school with a 1 liter bottle of water. She drinks 1/4 of the bottle before school starts and 2/3 of the rest before lunch.
a. What fraction of the bottle does Halle drink before lunch?
b. How many milliliters are left in the bottle at lunch?
4. Moussa delivered 3/5 of the newspapers on his route in the first hour and 4/5 of the rest in the second hour. What fraction of the newspapers did Moussa deliver in the second hour?
5. Rose bought some spinach. She used 3/5 of the spinach on a pan of spinach pie for a party, and 3/4 of the remaining spinach for a pan for her family. She used the rest of the spinach to make a salad.
a. What fraction of the spinach did she use to make the salad?
b. If Rose used 3 pounds of spinach to make the pan of spinach pie for the party, how many pounds of spinach did Rose use to make the salad?

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