This document discusses equivalent fractions. It explains that two fractions are equivalent if they represent the same amount, even if the numerators and denominators are different. It provides examples of equivalent fractions using fraction models and explains how to find equivalent fractions by multiplying or dividing the numerator and denominator by the same number. The document includes practice problems for students to find equivalent fractions.

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