The numerator of a fraction is 3 less than its denominator. When both the numerator and the denominator are increased by 1 the fraction becomes 2/3. Find the fraction
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Step-by-step explanation:
let the denominator be x
then numerator is 3 less than its denominator is
=x-3
tHey increased by 1
i.e. x+1 ,x-3+1=x-2
the fraction is 2/3
x/x-3 = 2/3
cross multiplication
3x=2(x-3)
3x=2x-6
3x-2x=-6
x=-6
denominator =x=-6
numerator=x-3=-6-3=-9
the fraction is -6/-9=2/3
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