This document discusses equivalent fractions and how to find them. It explains that two fractions are equivalent if they represent the same amount, even if the numerator and denominator are different numbers. It provides examples like 2/3 being equivalent to 8/12. The key to finding equivalent fractions is to multiply or divide both the numerator and denominator by the same number. This allows fractions to be written in simpler forms while keeping the same value. The document encourages using equivalent fractions to make working with larger numbers easier.

1. Equivalent Fractions
Mrs. Emeott's 4th Grade Class
Clare Primary School

2. Table of Contents:

What is an Equivalent Fraction?

Why use Equivalent Fractions?

How to find Equivalent Fractions?

3. Equivalent Fractions

Equivalent means “Equal”
The numerator (top number) is different


The denominator (bottom number) is different.

Although they are different numbers they are
the same amount.

4. Fraction Models: kmott.wikispaces.com

5. Fraction Models:
So 2/3 is the
same as 8/12.
Image source:visualfractions.com

6. One Whole
One Whole

7. Cut Them in Half
1 The
Numerator
2 The
Denominator
(How many pieces its cut into)

8. Cut them in Half Again
I still show the same
thing, but now I also
show a new fraction
that is equal
(equivalent)
1 And Also 2
2 4

9. They are the Same!

One Half is equivalent to 2 quarters.
1 2
2 = 4

10. Why use Equivalent Fractions?

Equivalent Fractions make large numbers
easier to deal with.

Smaller numbers are simple.
50 5 1
100 = 10 = 2

11. To Find Equivalent Fractions:

Multiply the numerator and denominator by
the same number.
1 4 4
5 x 4 = 20

12. To Find Equivalent Fractions
Multiply the numerator and denominator by the
same number.
15 Divide by 3 Both 15
and 45 have 3
as a common factor!
45 Divide by 3

13. Find Equivalent Fractions
15 Divide by 3 5
45 = Divide by 3 15
Start thinking ahead. Can we make the
5/15 smaller? What number do 5 and 15
have in common?

15. Now you try it!
Look at the top picture.
It is cut into fourths.
The bottom picture is
cut into eighths. How
many eighths would
be equal to the the ¾
that are shaded red?

16. 
http://commons.wikimedia.org/wiki/File:Equal_Fractions_123.svg

17. Did you get the right answer?
6, That's Right!
6/8 = 3/4
6 divided by 2=3
8 divided by 2= 4