OML Search

Make Equivalent Fractions

Related Topics:
Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 5
Common Core For Grade 5


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
Worksheets for Grade 5

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

Add Fractions with Like Denominator.

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

Fraction Concoction Game


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.