# If the numerator of a fraction be increased by 12% and its denominator decreased by 2% the value of the fraction becomes 6/7. Thus, the original fraction is:

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Let a/b be the original fraction.

So ,

New fraction = 56a/49b

=> 56a/49b = 6/7

=> a/b =42/56

So ,

New fraction = 56a/49b

=> 56a/49b = 6/7

=> a/b =42/56

denominator=y

then fraction=x/y

(x+12x/100)/(y-2y/100)=6/7

solving

we get x/y=21/28

fraction=21/28