# If the numerator of a fraction is increased by 1/4 and the denominator is decreased by 1/3 the new fraction obtained is 33/64 what is the original fraction?

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the denominator of the original fraction be "y"

the numerator of the fraction has been increased by 1/4 then

x+1/4 of x

x+1/4*(symbol of multiplication)x

x+1/4*x

(4x+x)/4

5x/4

the denominator of the fraction has been decreased by 1/3 then

y-1/3*y

(3y-y)/3

2y/3

then

33/64 =(5x/4)/(2y/3)

22y= 80x

22/80=x/y

then

the fraction is 22/80

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