Question

The numerator of a fraction is 2 less than the denominator. If the numerator is multiplied by 2 and the denominator is multiplied by 3, then the fraction becomes 2/9 The fraction is:
1. 3/5
2. 7/9
3. 1/3
4. 5/7

Answer 1

Correct Answer - Option 3 : 1/3

Calculation:

Let the denominator of the required fraction = a 

So, the numerator will be = a - 2 

According to the question:

(a - 2) × 2/a × 3 = 2/9

⇒ (a - 2)/a = 1/3 

⇒ 3a - 6 = a 

⇒ 2a = 6 

⇒ a (denominator) = 3 

⇒ Numerator = 3 - 2 = 1 

∴ The required fraction is 1/3.