Equivalent Fractions

Mrs. Emeott's 4th Grade Class

Clare Primary School

Table of Contents:

What is an Equivalent Fraction? Why use Equivalent Fractions?

How to find Equivalent Fractions?

Equivalent Fractions

Equivalent means “Equal”

The numerator (top number) is differentThe denominator (bottom number) is different.

Although they are different numbers they are the same amount.

Fraction Models: kmott.wikispaces.com

Fraction Models:

So 2/3 is the same as 8/12.

Image source:visualfractions.com

One Whole

One Whole

Cut Them in Half

1 The

Numerator

2 The

Denominator (How many pieces its cut into)

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

They are the Same!

One Half is equivalent to 2 quarters.

1 22 = 4

Why use Equivalent Fractions?

Equivalent Fractions make large numbers easier to deal with.

Smaller numbers are simple.

50 5 1100 = 10 = 2

To Find Equivalent Fractions:

Multiply the numerator and denominator by the same number.

1 4 4

5 x 4 = 20

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

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?

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?

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

Did you get the right answer?

6, That's Right!

6/8 = 3/4

6 divided by 2=3

8 divided by 2= 4