Question

The numerator of
a fraction is 4 less
than its denominator, if I is added to both
numerator and denominator it becomes
1by2
find the fraction.​

Answer 1

Answer:

Step-by-step explanation:

Let the numerator be a

numerator < denominator by 4

⇒ numerator + 4 = denominator

⇒ a + 4 = denominator

numerator / denominator = a / ( a+4 ) = 1/2 ( given)

⇒ a / ( a+4) = 1/2

⇒ a x 2 = 1 x ( a+4)

⇒ 2a = a + 4

⇒ 2a - a = 4

⇒ a = 4

numerator = a = 4

denominator = a + 4 = 4 + 4 = 8

verification :

numerator / denominator = 4/8 = 1/2