# Multiply Unit Fractions

Videos and solutions to help Grade 5 students learn how to multiply unit fractions by unit fractions.

Common Core Standards: 5.NBT.7, 5.NF.4a, 5.NF.6, 5.MD.1, 5.NF.4b

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Lesson Plans and Worksheets for Grade 5

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New York State Common Core Math Module 4, Grade 5, Lesson 13

Lesson 13 Concept Development

Problem 1
Jan has 4 pans of crispy rice treats. She sends school with her children. How many pans of crispy rice treats does Jan send to school?

Problem 2
Jan has 1/3 pan of crispy rice treats. She sends 1/2 of the treats to school with her children. How many pans of crispy rice treats does Jan send to school?

Problem 3
Jan has 1/3 a pan of crispy rice treats. She sends 1/4 of the treats to school with her children. How many pans of crispy rice treats does Jan send to school?

Problem 4
A sales lot is filled with vehicles for sale. 1/3 of the vehicles are pickup trucks, 1/3 of the trucks are white. What fraction of all the vehicles are white pickup trucks?

Lesson 13 Problem Set

1. Solve. Draw an area model to show your thinking. Then write a multiplication sentence.
b. Half of 1/3 of brownies = _____ pan of brownies.
c. A fourth of 1/3 pan of brownies = _____ pan of brownies.
d. 1/4 of 1/4
e. 1/2 of 1/6
2. Draw models of 3 x 1/4 and 1/3 x 1/4. Compare multiplying a number by 3 and by 1 third.
3. 1/3 of Ila's works ace is covered in paper. 1/3 of the paper is yellow sticky notes. What fraction of Ila's workspace is covered in yellow sticky notes? Draw a picture to support your answer.
4. A marching band is rehearsing in rectangular formation. 1/5 of the marching band members play percussion instruments. 1/2 of the percussionists play the snare drum. What fraction of all the band members play the snare drum?
5. Marie is designing a beds read for her grandson's new bedroom. 2/3 of the bedspread is covered in race cars and the rest is striped. 1/4 of the stripes are red. What fraction of the bedspread is covered in red stripes?

Lesson 13 Homework

1. Solve. Draw an area model to show your thinking.

a. Half of 1/2 cake = _____ cake
b. One-third of 1/2 cake = ____ cake.

Lesson 13 Homework

This video shows how to multiply fractions by fractions using area models
1. Solve. Draw an area model to show your thinking.
d) 1/2 × 1/5
2. Noah mows 1/2 of his property and leaves the rest wild. He decides to use 1/5 of the wild area for a vegetable garden. What fraction of the property is used for the garden? Draw a picture to support your answer.

Lesson 13 Homework

1. Solve. Draw an area model to show your thinking.

a. Half of 1/2 cake = _____ cake
b. One-third of 1/2 cake = _____ cake
c. 1/4 of 1/2
d. 1/2 × 1/5
e. 1/3 × 1/3
f. 1/4 × 1/3
2. Noah mows 1/2 of his property and leaves the rest wild. He decides to use 1/3 of the wild area for a vegetable garden. What fraction of the property is used for the garden? Draw a picture to support your answer.

3. Fawn plants 2/3 of the garden with vegetables. Her son plants the remainder of the garden. He decides to use 1/2 of his space to plant flowers, and in the rest he plants herbs. What fraction of the entire garden is planted in flowers? Draw a picture to support your answer.

4. Diego eats 1/5 of a loaf of bread each day. On Tuesday, Diego eats 1/4 of the day’s ortion before lunch. What fraction of the whole loaf does Diego eat before lunch on Tuesday? Draw a model to support your thinking.

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