 # Make Equivalent Fractions

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

Videos, examples, and solutions to help Grade 5 students learn how to make equivalent fractions with sums of fractions with like denominators.

Common Core Standards: 4.NF.1, 4.NF.3c, 4.NF.3d

New York State Common Core Math Grade 5, Module 3, Lesson 2

Lesson 2 Application Problem

Mr. Hopkins has a 1 meter wire he is using to make clocks. Each fourth meter is marked off with 5 smaller equal lengths. If Mr. Hopkins bends the wire at ¾ meter, what fraction of the marks is that?

Lesson 2 Concept Development

Problem 1
1/3 + 1/3
1 third + 1 third = 2 thirds

Problem 2
3/8 + 3/8 + 1/8
3 eighths + 3 eighths + 1 eighth

Problem 3
6/2 = 2/2 + 2/2 + 2/2 = 1 + 1 + 1 = 3
6 halves = 3 x 2 halves = 3 ones = 3

Problem 4
8/5 = 5/5 + 3/5 = 1 3/5
8 fifths = 5 fifths + 3 fifths = 1 and 3 fifths

Problem 5
7/3 = 6/3 + 1/3 = 2 1/3
7 thirds = 6 thirds + 1 third = 2 and 1 third. Problem 1
1/3 + 1/3
1 third + 1 third = 2 thirds

Problem 2
3/8 + 3/8 + 1/8
3 eighths + 3 eighths + 1 eighth

Lesson 2 Problem Set

1) Show each expression on a number line. Solve.
a) 2/5 + 1/5
b) 1/3 + 1/3 + 1/3
c) 3/10 + 3/10 + 3/10
d) 2 x 3/4 + 1/4

2) Express each fraction as the sum of two or three equal fractional parts. Rewrite each as a multiplication equation. Show letter a) on a number line.
a) 6/7
b) 9/2
c) 12/10
d) 27/5

3) Express each of the following as the sum of a whole number and a fraction. Show c) and d) on number lines.
a) 9/7
b) 9/2
c) 32/7
d) 24/9 Lesson 2 Homework

This video demonstrates how to add fractions (with like denominators) using a number line. It also discusses converting addition expressions into equations using multiplication.

1) Show each expression on a number line. Solve.
a) 4/9 + 1/9

b) 1/4 + 1/4 + 1/4 + 1/4

2) Express each fraction as the sum of two or three equal fractional parts. Rewrite each as a multiplication equation. Show letter a on a number line.
a) 6/11
3) Express each of the following as the sum of a whole number and a fraction. Show c) and d) on number lines.
a) 9/5  