# Increasing the Reciprocal

**Algebra**Level 2

In a certain positive fraction \( \frac{a}{b} \), the numerator is 2 less than the denominator. If the numerator and denominator are interchanged, the fraction is increased by \( 1 \frac{1}{15} \). Find \( a + b \).

**Details and assumptions**

A positive fraction is a fraction that has a positive value. For example, \( \frac {10}{12} \) and \( \frac { - 2.3}{-0.3} \) are both positive fractions.