Question

24. The numerator of a fraction is 2 less than the denominator. If 1 is subtracted from both its numerator and
denominator, it becomes 2/3 -. Find the fraction.​

Answer 1

Answer:

The fraction is 5/7

Step-by-step explanation:

Let the fraction be a/b

Given,

b-a = 2 (numerator is 2 less than denominator)

$\frac{a-1}{b-1} = \frac{2}{3}$ (If 1 is subtracted from both its numerator and

denominator, it becomes 2/3)

⇒3(a-1) = 2(b-1)

⇒3a - 3 = 2b - 2

⇒3a - 2b = 1

Solving the two eqations, we get a = 5 and b = 7

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