the numerator of a fraction is 6 less than the denominator .if 3 is added to the numerator, the fraction is equal to 2/3 .find the fraction
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Step-by-step explanation:
let the denominator of the fraction be x
numerator of the fraction be x-6
According to question
x-6+3/x=2/3
x-3/x=2/3
by cross multiplication we get,
2x=3x-9
2x-3x=-9
-x=-9
x=9
denominator=x=9
numerator=x-6=9-6=3
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