Question

Insert three rational numbers between `2/7` and `11/17`.

Answer 1

Let’s verify whether the given rational numbers lie between `2/7` and `11/17`:

Step 1: Convert to decimals

`2/7 ≈ 0.2857`

`11/17 ≈ 0.6471`

Now check the given rational numbers.

`15/31 ≈ 0.4839`

`13/24 ≈ 0.5417`

`24/41 ≈ 0.5854`

Step 2: Check that all are between 0.2857 and 0.6471

Yes: 0.2857 < 0.4839 < 0.5417 < 0.5854 < 0.6471