The sum of the numerator and the denominator of the certain fraction is equal to 4,140. When the fraction was reduced, the result was 7/13 . What was the original fraction?

numerator = 1449 denominator = 2691

Step-by-step explanation:

let numerator = n, denominator = d

n/d = 7/13

or n = 7d/13 (i)

again, n+d = 4140

or 7d/13 +d = 4140 [substituting the value in (i)]

or 20d/13 = 4140

or d = 2691

n = 4140 - 2691 = 1449

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d

step-by-step explanation: