Question

Insert three rational numbers between `5/9` and `8/11`.

Answer 1

Let’s verify whether the given rational numbers lie between `5/9` and `8/11`:

Step 1: Convert to decimals

`5/9 ≈ 0.5556`

`8/11 ≈ 0.7273`

Now check the options.

`18/29 ≈ 0.6207`

`13/20 ≈ 0.65`

`21/31 ≈ 0.6774`

Step 2: Check if all lie between 0.5556 and 0.7273

Yes, all three values are:

0.5556 < 0.6207 < 0.65 < 0.6774 < 0.7273