A farmer has $\frac{1}{2}$ of a bag of rice. He uses $\frac{2}{7}$ of the remaining rice for soup, and then uses $\frac{1}{6}$ of what is left for salad. How much rice is left in the bag?

Step-by-step solution

1. After soup, remaining rice = $\frac{1}{2}-\frac{2}{7}\times \frac{1}{2}=\frac{1}{2}\left(1-\frac{2}{7}\right)=\frac{1}{2}\times \frac{5}{7}=\frac{5}{14}$.
2. After salad, remaining rice = $\frac{5}{14}-\frac{1}{6}\times \frac{5}{14}=\frac{5}{14}\left(1-\frac{1}{6}\right)=\frac{5}{14}\times \frac{5}{6}=\frac{25}{84}$.

Concept tested: Subtracting fractions with unlike denominators

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