Equivalent Fractions

Equivalent Fractions

New Jersey Student Learning Standards:

4.NF- Numbers and Operations- Fractions.  

Extend understanding of fraction equivalence and ordering. 1. Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions

By Madelyn Santiago

​In today's lesson you will understand and identify...

* Review equivalent fractions using fraction bars

* How to create equivalent fractions using mathematical operations...

* Multiplication

* Division

Equivalent Fractions

What is it?

Equivalent fractions are fractions that represent the same value, even though they look different

Schema -

You already learned how to make equivalent

fractions using fraction bars.

Open Ended

WORK WITH A PARTNER

Use the bars to show a fraction equivalent to 2/4.

​What other equivalent fraction can you make?

Multiplying and Dividing

2 Rules for Equivalent Fractions

Subject | Subject

​1. Multiply the numerator and denominator by ANY number.....

This rule works ALL the time. But you must remember this SAYING

What you do to the numerator you do to the denominator.

​Remember what you do the numerator, you must do to the denominator, OR what you do to the denominator you do to the numerator!

Multiplying and Dividing

2 Rules for Equivalent Fractions.

Subject | Subject

​2. Divide the numerator and the denominator by a COMMON FACTOR. This will NOT work all the time; you must make a F to see if they have something in common.

When you do find a common factor, you will use the same SAYING

What you do to the numerator, you do to the denominator.o

​ 6: 1, 2, 3, 6

12: 1, 2, 3, 4, 6

​Greatest Common Factor = GCF

WHATEVER you do to the bottom, you must do to the top!!!!!!

This needs to stick in your HEAD!!

​Some text here about the topic of discussion.

​Are you ready to see some examples?

You do to the bottom you must do to the top.

Remember that WHATEVER

​**Use your notes and/or the anchor charts to help you.

Multiple Choice

The number on the top of a fraction is called what?

• numerator

• denominator

• fractionator

• equivalent

Multiple Choice

The number on the bottom of a fraction is called what?

• numerator

• denominator

• equivalent

• improper

Multiple Choice

Complete the equivalent fraction. Ask yourself, how do I go from 3 to 9?

• 4

• 12

​Some text here about the topic of discussion.

​x3

​x3

​Ask yourself, how do i get from 3 to 9?

​Remember, whatever you do to the top, you do the bottom

Multiple Choice

Complete the equivalent fraction. Ask yourself, how do I go from 2 to 10?

• 2

• 5

• 10

​Remember, whatever you do to the top, you do to the bottom!you do the bottom

​x5

​x5

Multiple Choice

Complete the equivalent fraction. Ask yourself, how do I go from 5 to 25?

• 6

• 9

• 15

• 23

Multiple Choice

• 6/9

• 6/6

• 9/9

• 2/3

Multiple Choice

Ask yourself how do I go from 12 to 4? Did you multiply or divide? By what number? Do the same thing to your numerator and denominator.

• 1

• 3

• 9

• 8

Multiple Choice

• 1

• 4

• 2

• 3

Multiple Choice

• 3

• 1

• 12

• 2

Multiple Choice

Fractions that are equal are called __________.

• Twin Fractions

• Greatest Common Factors

• Least Common Multiples

• Equivalent Fractions