Question

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

`- 2/3 , 4/5`

Answer 1

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

Let us convert each of given numbers into fractions with equal denominators.

`-2/3 = (-2xx5)/(3xx5) = - 10/15`

`4/5 = (4xx3)/(5xx3) = 12/15`

We know that,

- 10 < - 9 < - 8 < - 7 <.........< 1 < 2 < 3 < 4 < ......< 12

`=> - 2/3 < -9/15 < -8/15 < -7/15 <.....<1/15<2/15<3/15<4/15<.......<4/15`

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

`- 9/15, - 7/15` and `4/15`.