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Make Equivalent Fractions

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Lesson Plans and Worksheets for Grade 5
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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

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 the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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