Math, asked by Anonymous, 1 month ago

Numerator of a fraction is 2 less than the denominator If 1 is added to the numerator and 3 to the denominator then the fraction becomes 2/3. Find the original fraction.

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Answers

Answered by viditu356
1

Answer:

let denominator be x

x - 2 + 1/x +3 = 2/3

x - 1/x + 3 = 2/3

 \frac{x - 1}{x + 3}  =  \frac{2}{3}  \\  \\  3x - 3 = 2x + 6 \\ 3x - 2x = 6 + 3 \\ x = 9 \\  \\  \frac{x - 2}{x}  =  \frac{9 - 2}{9}  =  \frac{7}{9}

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