Question

the numerator of a fraction is 2 less than the denominator . If 1 is subtracted from both the numerator and denominator , the fraction becomes 2/3 . What is the original fraction​

Answer 1

Answer:

fraction = 11 / 13

Step-by-step explanation:

Given :

. Numerator of a fraction is 2 less than the

denominator.

. After subtracting 3 from both numerator and denominator we get the fraction as 4/5.

To find :

What is the fraction?

Solution :

Let the denominator of the fraction be d. Therefore ,

Numerator = 2 less than d

Numerator = ( d - 2 )

So ,

Fraction will be = Numerator / Denominator

Fraction = ( d - 2 / d )

[Now subtracting by 3 ]

New numerator = ( d - 2 - 3 )

New denominator = ( d - 3 )

New fraction = ( n - 2 - 3 ) / ( d - 3 )

. After subtracting 3 from both numerator and denominator the fraction becomes 4 / 5

( d - 2 - 3 ) / ( d - 3 )

5 ( d - 5 ) = 4 ( d - 3 )

5d - 25 = 4d - 12

5d - 4d = 25 - 12

d = 13

So,

Denominator of fraction is d = 13

Numerator of fraction is ( d - 2 ) = 13 - 2 = 11

Hence required fraction is n / d = 11 / 13

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Answer 2

Answer:

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