Express $4\frac{1}{6}$ as an improper fraction and subtract $\frac{7}{9}$ from it. Simplify the result.

Step-by-step solution

1. Convert the mixed number: $4\frac{1}{6}=\frac{4\times 6+1}{6}=\frac{25}{6}$.
2. Find a common denominator for $\frac{25}{6}$ and $\frac{7}{9}$, which is 18.
3. Express each fraction with denominator 18: $\frac{25}{6}=\frac{75}{18}$ and $\frac{7}{9}=\frac{14}{18}$.
4. Subtract the numerators: $\frac{75}{18}-\frac{14}{18}=\frac{61}{18}$.
5. Check for simplification: 61 and 18 are coprime, so the fraction is already in simplest form.

Concept tested: Subtracting fractions and mixed numbers

Published 10 October 2026 · How this solution was prepared and checked