Question

Insert a rational number between `4/7` and `9/11`.

Answer 1

To verify that `13/18` is a rational number between `4/7` and `9/11`, let’s compare their decimal equivalents:

Step 1: Convert to decimals

`4/7 ≈ 0.5714`

`9/11 ≈ 0.8182`

`13/18 ≈ 0.7222`

Step 2: Check placement

`4/7 ≈ 0.5714 < 13/18 ≈ 0.7222 < 9/11 ≈ 0.8182`

So, `13/18` lies between `4/7` and `9/11`.