Question

find four rational number between 2/5& 3/5​

Answer 1

11/25,12/25,13/25 and 14/25.

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Answer 2

Since, We want five rational numbers, we write

5

2

and

5

3

.

So multiply in numerator and denominator by 5+1=6 and we get,

5×6

2×6

=

30

12

and

5

3

=

5×6

3×6

=

30

18

We know that, 13<14<15<16<17

⇒

30

12

<

30

13

<

30

14

<

30

15

<

30

16

<

30

17

<

30

18

Hence, 5 rational numbers between

5

2

and

5

3

are:

⇒

30

13

,

30

14

,

30

15

,

30

16

,

30

17

ans.