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.
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