7. The numerator of a fraction is 3 less than the denominator. If the numerator is increased by 1 and the denominator is increased by 3 , the fraction becomes 1 /2 . find the fraction
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Le the denominator be x and the numerator be (x – 3) By using the formula Fraction = numerator/denominator = (x – 3)/x So, when numerator is increased by 2 and Denominator is increased by 5, then fraction is 1/2 (x – 3 + 2)/(x + 5) = 1/2 (x – 1)/(x + 5) = 1/2 By using cross-multiplication, we get 2(x – 1) = x + 5 2x – 2 = x + 5 2x – x = 2 + 5 x = 7 ∴ Denominator is x = 7, numerator is (x – 3) = 7 – 3 = 4 And the fraction = numerator/denominator = 4/7Read more on Sarthaks.com - https://www.sarthaks.com/665607/the-numerator-rational-number-less-than-denominator-denominator-increased-the-numerator
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4/7
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