Question

Insert three rational numbers between the following rational numbers and write them in descending order:

`3/8` and `-1/4`

Answer 1

Given: Two rational numbers are `3/8` and `-1/4`.

Step 1: Express both numbers with the same denominator

`3/8 = 6/16`,

`-1/4 = -4/16`

So, we need three numbers between `-4/16` and `6/16`.

Step 2: Choose rational numbers between them

Three such numbers could be `-1/16, 1/16, 7/32`

All these lie between `-4/16` and `6/16` i.e., between –0.25 and 0.375.

Step 3: Arrange in descending order

`7/32, 1/16, -1/16`