What is the sum of the fractions $\frac{1}{6}$ and $\frac{2}{9}$?

Step-by-step solution

1. Convert each fraction to a common denominator. The least common multiple of 6 and 9 is 18.
2. Write $\frac{1}{6}$ as $\frac{3}{18}$ and $\frac{2}{9}$ as $\frac{4}{18}$.
3. Add the numerators: $3+4=7$.
4. The sum is $\frac{7}{18}$.

Concept tested: Adding fractions with unlike denominators

Published 7 October 2026 · How this solution was prepared and checked