The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is `2(16)/(21),` find the fraction.

Explanation

Let the numerator of fraction be `x` Then,


Denominator `=2 {x}+1`


`\therefore` fraction `=\frac{{x}}{2 {x}+1} \Rightarrow` Reciprocal of fraction `=\frac{2 {x}+1}{{x}}`



`\therefore \frac{x}{2 x+1}+\frac{2 x+1}{x}=2 \frac{16}{21}=\frac{58}{21}`
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