Question

Find five rational number between 2/5 and 3/5.​

Answer 1

Answer:

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

Answer 2

Answer:

Since, We want five rational numbers, we write 2/5 and 3/5 .

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

2*6/5*6  =  12/30  and 3/5 = 3*6/5*6 = 18/30

​We know that, 13<14<15<16<17

⇒  12/30 < 13/30 < 14/30 < 15/30 < 16/30 < 17/30 < 18/30

​Hence, 5 rational numbers between   2/5 and 3/5 are:

⇒ 13/30, 14/30, 15/30, 16/30, 17/30