if 1 is added to the denominator of a fraction the fraction becomes 1 upon 2 . If 1 is added to the numerator of the fraction , the fraction becomes 1 . Find the fraction
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Let the numerator be x and the denominator be y.
Therefore,
The required fraction,
x/y.
From first condition,
x/y+1=1/2
2x=y+1
2x-y=1..................(1)
From second condition,
x+1/y=1
x+1=y
y-x=1......... (2)
Adding (1) and (2) we get,
x=2 and y=3
Therefore, the required fraction is 2/3.
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