Question

Write three rational number that lie between the two given number.

`4/5, 2/3`

Answer 1

The given numbers are `4/5  "and"  2/3`

Let us convert these numbers into fractions with equal denominators.

`4/5 = (4xx6)/(5xx6) = 24/30`

`2/3 = (2xx10)/(3xx10) = 20/30`

We know that,

20 < 21 < 22 < 23 < 24

∴ `20/30<21/30<22/30<23/30<24/30`

`=> 2/3<21/30<22/30<23/30<4/5`

Hence, 3 rational numbers between `2/3  "and"  4/5` are:

`21/30, 22/30  "and"  23/30`.