Question

Insert three rational numbers between `3/8` and `10/13`.

Answer 1

Let’s verify whether the given rational numbers lie between `3/8` and `10/13`:

Step 1: Convert to decimals

`3/8 ≈ 0.375`

`10/13 ≈ 0.7692`

Now check the given numbers.

`16/29 ≈ 0.5517`

`13/21 ≈ 0.6190`

`23/34 ≈ 0.6765`

Step 2: Verify all lie between 0.375 and 0.7692

Yes: 0.375 < 0.5517 < 0.6190 < 0.6765 < 0.7692