Equivalent fractions have different numerators and denominators but represent the same amount or portion. To find equivalent fractions, multiply the numerator and denominator by the same number. This makes fractions that are equal but with different representations. Using equivalent fractions makes working with larger numbers easier by expressing them as smaller equivalent fractions.

1. Equivalent Fractions
th
Mrs. Emeott's 4 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 5
45 divide by 3 = 15
Both 15 and 45 have 3 as a common factor!

13. 15 divide by 3 5
45 divide by 3 = 15
Now can you make 5/15 smaller? In other words
what number does 5 and 15 have in common?

14. How would you make 5/15 smaller?
a) 1/3
b) 5/20
c) 1/2
d) 3/15

15. That's Correct!
Nice Work!!!
5 divide by 5 1
15 divide by 5 = 3
The correct answer is 1/3.

16. That's Incorrect.
5 divide by 5 1
15 divide by 5 = 3
The correct answer is 1/3.