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let the denominator=x then numerator=3x

Thus the fraction=3x/x

now according to given condition if the numerator is decreased by 1 and denominator increased by 2 the new fraction would be 3x-1/x+2 which will be equal to 5/2

thus 3x-1/x+2=5/2

2(3x-1)=5(x+2)

6x-2=5x+10

x=12 thus the original fraction is 3(12)/12=36/12

Check:36-1/12+2=35/14=5/2:)

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