Question

find 5 rational number between -1/5 1/5​

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

ans.

Answer 2

Answer:

Convert the given two fraction with the same denominator 20 [LCM of 4 & 5]

1/5=4/20 and 1/4=5/20

As we have to find five rational numbers between them multiply both the

numerator and denominator by 6 (5+1)

4/20*6/6=24/120 and 5/20*6/6=30/120

Now the rational numbers are 25/120.26/120,27/120,28/120, 29/120

i.e 5/24.13/60,9/40,7/30,29/120

Note If you want to find ’n’ rational numbers multiply both numerator and

denominator of equal factions by (n+1)