Date post: | 23-Jun-2015 |
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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