Find the sum of $-\frac{5}{9}$ and $\frac{7}{12}$.

Step-by-step solution

1. Find a common denominator of 9 and 12, which is 36.
2. Convert $-\frac{5}{9}$ to $-\frac{20}{36}$.
3. Convert $\frac{7}{12}$ to $\frac{21}{36}$.
4. Add the numerators: $-20+21=1$.
5. Write the result as $\frac{1}{36}$, which is already in simplest form.

Concept tested: addition of rational numbers

Published 16 October 2026 · How this solution was prepared and checked