Question

Thedenominator fraction greter than numerator 12 the numerator decrease by 2 and denominator in crease by 7

Answer 1

Answer:-

23/35

step by step explanation:-

Let the numerator of the fraction be x. The denominator of a fraction is greater than its numerator by 12.

∴ Denominator of the fraction = (x + 12)

∴ The required fraction = x/(x + 12)

For the new fraction, numerator is decreased by 2.

∴ The new numerator = (x – 2)

Also, denominator is increased by 7.

∴ The new denominator

= (x + 12) + 7 = (x + 19)

Since, the new fraction is equivalent to 1/2.

∴ (x - 2/x + 19) = 1/2

∴ 2(x – 2) = 1(x + 19)

∴ 2x – 4 = x + 19

∴ 2x – x = 19 + 4

∴ x = 23

∴ The required fraction

= x/(x + 12) = 23/(23 + 12) = 23/35

∴ The required fraction is 23/35