Sum of numerator and
denominator of a fraction is grater by 1 than thrice the numerator. if numerator is decreased by 1 than fraction reduces to 1/3 . find the fraction
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Answer:
Step-by-step explanation:
Let the numerator be N and the Denominator be D, so the fraction is N / D.
According to given data,
N + D = 1 + 3N -----(i)
(N - 1) / D = 1 / 3 {Reduced to means the fraction becomes 1 / 3} ----(ii)
According to equation (ii) , 3(N - 1) = D
By comparing the value of D from both the equations,
1 + 3N - N = 3(N-1)
1 + 2N = 3N - 3
4 = N
So, D = 3(4 - 1) = 9
Therefore, the fraction is 4 / 9
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