Correct Answer - Option 1 : 7/15

**Given:**

The denominator of a rational number is greater than its numerator by 8.

**Calculation:**

Let the numerator of a rational number be x and denominator be (x + 8).

ATQ,

(x + 17)/(x + 8 + 1) = 3/2

⇒ (x + 17)/(x + 9) = 3/2

⇒ 2x + 34 = 3x + 27

⇒ x = 7 and x + 8 = 7 + 8 = 15

⇒ Rational number = 7/15

**∴ The required rational number is 7/15.**