The Dinominator of rational number is greater than numerator by 6.If the numerator is decreased by 2 and the dinominator is increased by 4the new ratio becomes 1/5.find the original rational number. How the answer become 5/11.explain.

Answer 1

let the numerator be x
let the denominator be x+6
the fraction was x/(x+6)

new numerator = x-2
new denominator = x+10

(x-2)/(x+10) = 1/5
cross-mutiply:
5x - 10 = x+10
4x = 20
x = 5

so the original fraction was 5/11