Thrice a fraction is greater than its reciprocal by 46 / 7. What is the fraction?

 Thrice a fraction is greater than its reciprocal by 46 / 7. What is the fraction? Correct Answer 7 / 3

Given: Thrice a fraction is greater than its reciprocal by 46 / 7

Concept Used: In this type of question, fraction can be determined by the help of below formula

Formula Used: if a fraction is in the form (y / z), then its reciprocal is (z / y)

Calculation: let the fraction be (y / z), using the above formulae, we get

⇒ 3 × (y / z) = (z / y) + 46 / 7

⇒ 3 / (z / y) = (z / y) + 46 / 7

⇒ 7a² + 46 a - 21 = 0 {a = (z / y)}

⇒ a = - 7, 3 / 7 ;