Question

Insert one rational number between the following rational numbers:

`1/4` and `3/5`

Answer 1

Given: Insert one rational number between the rational numbers `1/4` and `3/5`.

Step wise calculation:

1. Convert both fractions to have a common denominator:

`1/4 = 5/20, 3/5 = 12/20`

2. Now, choose any rational number between `5/20` and `12/20`.

For example, `8/20 = 2/5` is between them.

One rational number between `1/4` and `3/5` is `2/5`.

Alternatively, a rational number given in the source is `17/40`, which lies between `1/4` and `3/5` as well.

Hence, `1/4 < 17/40 < 3/5` and so `17/40` is also a valid choice as a rational number between the two given fractions.