if we add 1 to the numerator and subtract 1 from the denominator a fraction reduses to 1 . it becomes 1/2 if we only add 1 to the denominator . what is the farction
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Step-by-step explanation:
Let the fraction be x y xy, Here numerator is x and denominator is y. ∴ x + 1 y − 1 = 1 x+1y−1=1 x + 1 = y – 1 x – y = -1 – 1 x – y = -2 ……….. (i) x y + 1 = 1 2 xy+1=12 2 × x = y + 1 2x = y + 1 2x – y = 1 ………. (ii) Subtracting eqn. (ii) from eqn. (i), ∴ x = 3 Substituting the value of ‘x’ in eqn. (i), x – y = -2 3 – y = -2 -y = -2 -3 -y = -5 ∴ y = 5 ∴ Fraction is x y = 3
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