Equivalent fractions

Created by Richard Bull

Equivalent fractions

1 whole

1/21/2

1/41/4

1/41/4

1/81/8

1/81/8

1/81/8

1/81/8

We are learning about equivalent fractions

1 whole

½ ½

¼¼¼¼

1/81/8

1/81/8

1/81/8

1/81/8

We can see that

1/1 = 2/2 = 4/4 = 8/8 They are equivalent fractions

We can see that 2/8 is the same length as 1/4 So 2/8 = 1/4

They are equivalent fractions

1 whole

1/21/2

1/41/4

1/41/4

1/81/8

1/81/8

1/81/8

1/81/8

½

¼¼

1/81/8

1/81/8

Which fractions are equivalent to ½?

1 whole

1/2 = 2/4 = 4/8

Which of these fractions is equivalent to 1/4 ?

2/81/81/2

1 whole

1/21/2

1/41/4

1/41/4

1/81/8

1/81/8

1/81/8

1/81/8

2/4 1/4

Which of these fractions is equivalent to 4/8 ?

1/8

1 whole

1/21/2

1/41/4

1/41/4

1/81/8

1/81/8

1/81/8

1/81/8

1 whole

1/31/3

1/3

1/61/6

1/61/6

1/61/6

1/121/12

1/121/12

1/121/12

1/121/12

1/121/12

1/121/12

  

= 

1/32/6

4/12

  

= Look at the equivalent fractions – each time the

numerators double, the denominators also double. Which other fraction will be equivalent?

6/24 4/248/24

Think of a pizza cut into six pieces

How many sixths are equivalent to ½?

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

Good Luck!

1/2 1/2

12

1/4

1/4 1/4

1/4

24

12

1/6

1/6

1/6 1/6

1/6

1/6

36

12

1/8

1/8

1/8

1/8 1/8

1/8

1/8

1/8

48

12

84

63

42

21

12?

?3

62

31

?8

9?

?4

32

6

6

12

1

4 201612

2

83 44 5

Filling in the gaps

3

4

?

20=

15

3

4 20=

× 5

× 5

15

What about this one?

2

3 18=

× 6

× 6

12

Try these:

2

7

?

21=

4

9

12

?= 3

8

18

?=

1

6

?

24=

6 4

27 48