Name four fractions whose values are between 1/5 and 1/3

The fraction exactly between them is

4

15

There are many, many fractions between

1

3

and

1

5

.

Using a larger number as the denominator allows you to find some.

Explanation:

'The' fraction implies the fraction exactly halfway between them.

The obvious answer would seem to be

1

4

. However, it is wrong.

Find equivalent fractions for

1

3

and

1

5

with the same denominator:

L

C

M

=

15

1

3

and

1

5

→

5

15

and

3

15

∴

4

15

is exactly between them. (But this is not

1

4

!)

However, if you choose a larger denominator you will easily see how many other fractions there are.

Denominator of

60

1

3

and

1

5

→

20

60

and

12

60

∴

13

60

14

60

15

60

16

60

17

60

18

60

19

60

are all between

Denominator of

75

1

3

and

1

5

→

25

75

and

15

75

16

75

17

75

18

75

19

75

20

75

21

75

22

75

23

75

24

75

are all between

1

3

and

1

5

Step-by-step explanation: