Question

the diniminator of a fraction is one More than twice the numerator and the sum of the fraction and it's reciprocal is 2×16/21 then the fraction is
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Answer 1

Let the numerator of the fraction be x.

Then Denominator=2x+1

Fraction = x/2x+1

Reciprocal of the fraction = 2x+1/x

It is given that the sum fo the fraction and its reciprocal is 2 16/21(mixed fraction)

after solving

we get x=3,-7/11

x can not be a negative

so x=3

so the fraction is 3/7

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Answer 2

Let the numerator of the fraction be x.

Then Denominator=2x+1

Fraction = x/2x+1

Reciprocal of the fraction = 2x+1/x

It is given that the sum fo the fraction and its reciprocal is 2 16/21(mixed fraction)

after solving

we get x=3,-7/11

x can not be a negative

so x=3

so the fraction is 3/7

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