 # Multiply Whole Number by Fraction

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Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades

Videos, solutions, and examples to help Grade 5 students learn how to multiply any whole number by a fraction using tape diagrams.

Common Core Standards: 5.NF.4a

### New York State Common Core Math Module 4, Grade 5, Lesson 7

Lesson 7 Application Problem

Mr. Peterson bought a case (24 boxes) of fruit juice. One-third of the drinks were grape and two-thirds were cranberry. How many boxes of each flavor did Mr. Peterson buy? Show your work using a tape diagram or an array.

Lesson 7 Concept Development

Problem 1: What is 3/5 of 35?

Problem 2
Aurelia buys 2 dozen roses. Of these roses, 3/4 are red and the rest are white. How many white roses did she buy?

Problem 3
Rosie had 17 yards of fabric. She used one-third of it to make a quilt. How many yards of fabric did Rosie use for the quilt?

Problem 4
2.3 of a number is 8. What is the number?

Problem 5
Tiffany spent 4/7 of her money on a teddy bear. If the teddy bear cost \$24, how much money did she have at first? Lesson 7 Problem Set

1. Solve using a tape diagram.
a. 1/3 of 18
c. 3/4 of 24
e. 4/5 x 25
f. 1/4 x 9
i. 2/3 of a number is 10. What’s the number?
j. 3/4 of a number is 24. What’s the number?

Lesson 7 Problem Set

2. Solve using tape diagrams.
a. There are 48 students going on a field trip. One-fourth are girls. How many boys are going on the trip?
b. Three angles are labeled below with arcs. The smallest angle is 3/8 as large as the 160° angle. Find the value of angle a.
c. Abbie spent 5/8 of her money and saved the rest. If she spent \$45, how much money did she have at first?
d. Mrs. Harrison used 16 ounces of dark chocolate while baking. She used 2/5 of the chocolate to make some frosting and used the rest to make brownies. How much more chocolate did Mrs. Harrison use in the brownies than in the frosting?

Lesson 7 Homework

2. Solve using tape diagrams.
b. A straight angle is split into two smaller angles as shown. The smaller angle’s measure is 1/6 of straight angle. What is the value of angle a?
c. Annabel and Eric made 17 ounces of pizza dough. They used 5/8 of the dough to make a pizza and used the rest to make calzones. What is the difference between the amount of dough they used to make pizza and the amount of dough they used to make calzones? Lesson 7 Homework

1. Solve using a tape diagram.
1/4 of 24
2/3 of 18

How to multiply whole numbers and fractions using tape diagrams?

1. Solve using a tape diagram.
a) 1/4 of 24
c) 2/3 of 18
k) 3/4 of a number is 27. What’s the number?

2. Solve using tape diagrams. Homework Question 1 Homework Question 2 