The denominator of a fraction is 3 more than its numerator. The sum of the fraction and its reciprocal is 2 9/10 . Find the fraction.

Let the fraction be . It is given that the denominator of a fraction is 3 more than its numerator. ⇒ b = a + 3 And, the sum of the fraction and its reciprocal is . If a = -5, then b = 3 + (-5) = -2 And, if a = 2, then b = 3 + 2 = 5 So, the fraction = Since, denominator is 3 more than the numerator, ∴ The fraction is Hence, the fraction = .