1

1. Equivalent
fractions
Created by Richard Bull

2. Equivalent fractions
1 whole
1
/2
1
/2
1
/4
1
/4
1
/4
1
/4
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8
We are learning about equivalent fractions

3. 1 whole
½ ½
¼¼¼¼
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8
We can see that
1
/1 = 2
/2 = 4
/4 = 8
/8
They are equivalent fractions

4. We can see that 2
/8 is the same length as 1
/4
So 2
/8 = 1
/4
They are equivalent fractions
1 whole
1
/2
1
/2
1
/4
1
/4
1
/4
1
/4
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8

5. ½
¼¼
1
/8
1
/8
1
/8
1
/8
Which fractions are equivalent to ½?
1 whole
1
/2 = 2
/4 = 4
/8

6. Which of these fractions is equivalent to 1
/4 ?
2
/8
1
/8
1
/2
1 whole
1
/2
1
/2
1
/4
1
/4
1
/4
1
/4
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8

7. 2
/4
1
/4
Which of these fractions is equivalent to 4
/8 ?
1
/8
1 whole
1
/2
1
/2
1
/4
1
/4
1
/4
1
/4
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8
1
/8

8. 1 whole
1
/3
1
/3
1
/3
1
/6
1
/6
1
/6
1
/6
1
/6
1
/6
1
/12
1
/12
1
/12
1
/12
1
/12
1
/12
1
/12
1
/12
1
/12
1
/12
1
/12
1
/12
= 1
/3
2
/6
4
/12
=
Look at the equivalent fractions – each time the
numerators double, the denominators also double.
Which other fraction will be equivalent?
6
/24
4
/24
8
/24

9. Think of a pizza cut into six pieces
How many sixths are equivalent to ½?

10. Now we’ve learnt what equivalent fractions are – let’s
find some ourselves.
Good Luck!

11. 1/21/2
1
2

12. 1/4
1/41/4
1/4
2
4
1
2

13. 1/6
1/6
1/61/6
1/6
1/6
3
6
1
2

14. 1/8
1/8
1/8
1/81/8
1/8
1/8
1/8
4
8
1
2

15. 8
4
6
3
4
2
2
1
===

16. 12
?
?
3
6
2
3
1
===

17. ?
8
9
?
?
4
3
2
===
6
6
12

18. 1
4 201612
2
8
3 44 5

19. Filling in the gaps
3
4
?
20
=
15

20. 3
4 20
=
× 5
× 5
15

21. What about this one?
2
3 18
=
× 6
× 6
12

22. Try these:
2
7
?
21
=
4
9
12
?
=
3
8
18
?
=
1
6
?
24
=
6 4
27 48