Find the fraction

Algebra Level 1

The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is 58 21 , \frac{58}{21}, find the fraction.

3/7 4 4/7 7/3

Swaraj Shandilya by Swaraj Shandilya , 21, India

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3 solutions

Tushar Kaushik
Dec 13, 2014

i got it right

1 Helpful 0 Interesting 0 Brilliant 0 Confused

This is not a solution. Please provide a complete solution. @tushar kaushik

Anuj Shikarkhane - 6 years, 6 months ago

After setting up the equation and simplifying, it will end up in a quadratic equation. Then there two values for x x (numerator).

x = 3 x=3 and x = − 7 11 x=\dfrac{-7}{11}

Among the choices, all options are positive so we used x = 3 x=3 . Thus, the denominator is 1 + 2 ( 3 ) = 7 1+2(3)=7 .

The desired answer therefore is 3 7 \boxed{\dfrac{3}{7}} .

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Hyunmin Na
Jun 29, 2015

the second one is the only one that the denominator is one more than twice the numerator

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