# Repeated Addition and Fraction Multiplication

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

Videos, examples, solutions, and lessons to help Grade 5 students learn how to relate fraction of a set to the repeated addition interpretation of fraction multiplication.

Common Core Standards: 5.NF.4a

### New York State Common Core Math Module 4, Grade 5, Lesson 8

Lesson 8 Application Problem

Sasha organizes the art gallery in her town’s community center. This month she has 24 new pieces to add to the gallery. Of the new pieces, 1/6 of them are photographs and 2/3 of them are paintings. How many more paintings are there than photos?

Lesson 8 Concept Development

Problem 1: 2/3 × 6
Problem 2: 2/5 × 10

Problem 3
7/6 × 24
7/6 × 27

Problem 4:
2/3 hour = ___ minutes Lesson 8 Concept Development

Problem 2: 3/5 × 10
10 × 3/5

Lesson 8 Problem Set

2. Rewrite the following addition expressions as fractions as shown in the example.
a. 7/4 + 7/4 + 7/4 =
b. 14/5 + 14/ 5 =
c. 4/7 + 4/7 + 4/7 =

3. Solve and model each problem as a fraction of a set and as repeated addition.
a. 1/2 × 8, 8 × 1/2
b. 3/5 × 10, 10 × 3/5

4. Solve each problem in two different ways as modeled in the example.
a. 14 × 3/7
b. 3/4 × 36
d. 9/8 × 32

5. Solve each problem any way you choose.
b. 3/4 × 60, 3/4 hour = __________ minutes
c. 3/10 × 1000, 3/10 kilogram = __________ grams Lesson 8 Homework

1. Rewrite the following expressions as shown in the example.

5/3 + 5/3 + 5/3
15/3 + 15/3

2. Solve each problem in two different ways as modeled in the example.

3/4 × 16
4/3 × 12

Lesson 8 Homework

This video shows how to multiply fractions and whole numbers by creating addition sets so that one may reduce parts of the fractions before arriving at final answers.

1. Rewrite the following expressions as shown in the example.
a) 5/3 + 5/3 + 5/3

2. Solve each problem in two different ways as modeled in the example.
a) 3/4 × 16
b) 4/3 × 12

3. Solve each problem any way you choose.
a) 1/3 × 60
1/3 minute = _________ seconds

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