Question

the numerator of a fraction is 3 less than the denominator. if both the nmerator and denominator are increased by 2 , the new fraction becomes 6/7 . find the original fraction​

Answer 1

Answer:

Let the denominator of the fraction be X.

Then the numerator of the fraction = (X-3)

Fraction = Numerator/Denominator = X-3/X.

The and denominator are increased by 2 then the Numerator and denominator become (X-3+2) and (X+2).

Fraction = Numerator/Denominator =(X-3+2)/(X+2).

According to the question,

(X-3+2)/(X+2) = 6/7

X-1/X+2 = 6/7

7(X-1) = 6(X+2)

7X-7 = 6X+12

7X-6X= 12+7

X = 19

Numerator = (X-3) = (19-3) = 16

And,  Denominator =(X) = 19

Therefore,

Original Fraction = Numerator/Denominator = (X-3)/X= 19/16 .\

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Step-by-step explanation:

Answer 2

Answer:

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