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?

Now you try 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:

5. Fraction Models:
So 2/3 is the
same as 8/12.

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
45 Divide by 3
Both 15 and 45 have 3as a common factor!

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?

14. 5 and 15 have the number ____ in
common!
a. 3
b. 2
c. 5
d. 15

15. That's Correct!
5 and 15 both have the number 5 in common!
So 5/15 can be made smaller by dividing the top
and bottom numbers by 5!
5 1
15 = 3

16. That's Incorrect.
Sorry that's not right but don't give up!!!
5 and 15 both have the number 5 in common!
So 5/15 can be made smaller by dividing the top
and bottom numbers by 5!
5 1
15 = 3

17. 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?

18. Click on the correct answer.
3/4 is equal to...
a. 4/8
b. 6/8
c. 8/8
d. 3/8

19. That's Correct!
6/8 is the equivalent fraction to 3/4!
3 x2 6
4 x2 = 8

20. That's Incorrect!
6/8 is the equivalent fraction to 3/4!
3 x2 6
4 x2 = 8

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

22. Find the Equivalent Fraction:
2 x3
5 x3 = ?
a. 6/15
b. 3/12
c. 2/3
d. 1/10

23. That's Correct!
2 x3 6
5 x 3 = 15

24. That's Incorrect.
2 x3 6
5 x 3 = 15

25. Find the Equivalent Fraction:
3 ?
8 = 56
a. 6/56
b. 18/56
c. 3/56
d. 21/56

26. That's Correct!
3 x7 21
8 x7 = 56

27. That's Incorrect.
3 x7 21
8 x7 = 56

28. What's the Equivalent Fraction?
What is the equivalent fraction to
½ (There is a HINT in the picture).
a. 2/4
b.1/4
c. 2/2
d. 3/4

29. That is Correct!
The equivalent fraction to 1/2 is 2/4.
1 x 2= 2
2 x 2= 4

30. That's Incorrect.
The equivalent fraction to 1/2 is 2/4.
1 x 2= 2
2 x 2= 4

31. Try your hand at these bonus
problems!
1) Find the Equivalent Fraction to 6/9.
a. 3/9
b. 12/18
c. 6/18
d. 2/3

32. That's Correct!

33. That's Incorrect.

34. Bonus Problem #2
2) Find the Equivalent Fraction to 5/10.
a. 3/5
b. 2/10
c. 1/2
d. 5/20

35. Bonus Problem #3
3) Find the Equivalent Fraction to 11/12.
a. 111/112
b. 33/22
c. 5/6
d. 22/24

36. Bonus Problem #4
4) Find the Equivalent Fraction to 2/3.
a. 1/2
b. 4/6
c. 4/8
d. 1/3

37. Bonus Problem #5
5) Find the Equivalent Fraction to 2/8.
a. 1/4
b. 1/8
c. 3/21
d. 2/18

38. Sources Used:
http://commons.wikimedia.org/wiki/File:Equal_Fractions_123.svg
http://commons.wikimedia.org/wiki/File:Cake_fractions.svg
http://openclipart.org/detail/66535/the-star-by-aungkarns
http://openclipart.org/detail/1697/pencil-and-note-pad-by-ausis
http://openclipart.org/detail/27962/number-animals-by-kablam
http://openclipart.org/detail/22412/emoticons:-question-face-by-nicubunu
http://kmott.wikispaces.com/Equivalent+Fraction+Chart
Http://visualfractions.com/highercircle.1gif
http://openclipart.org/detail/159643/thank-you-pinned-by-juliobahar