A farmer owns a rectangular field. He has planted $\frac{5}{6}$ of the field with wheat. The total area of the field is $180$ acres. (a) How many acres are planted with wheat? (b) What fraction of the field is still unplanted?

Step-by-step solution

1. Let the total area be 180 acres.
2. Multiply 180 by $\frac{5}{6}$ to find the planted area: $180\times \frac{5}{6}=150$ acres.
3. Subtract the planted fraction from 1 to get the unplanted fraction: $1-\frac{5}{6}=\frac{1}{6}$.
4. So 150 acres are planted and $\frac{1}{6}$ of the field remains unplanted.

Concept tested: Fraction of a whole area

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