Problema Solution

the denominater of a fraction exceeds the numerator by 11. if the denominator is decreased by 2 , the value of the fraction is 4/5. find the original fraction

Answer provided by our tutors

let


x = the numerator of the fraction


x + 11 = the denominator of the fraction


x/(x + 11) is the original fraction


the denominator is decreased by 2 , the value of the fraction is 4/5


x/(x + 11 - 2) = 4/5


by solving we find:


x = 36


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x + 11 = 36 + 11 = 47


the original fraction is 36/47.