Which quantity is larger, the decimal number $0.6$ or the fraction $\frac{5}{9}$?

Step-by-step solution

1. Write $0.6$ as the fraction $\frac{3}{5}$.
2. Cross‑multiply the two fractions: compare $3\times 9$ with $5\times 5$.
3. $27>25$, so $\frac{3}{5}>\frac{5}{9}$.
4. Hence $0.6$ is larger than $\frac{5}{9}$.

Concept tested: Comparing decimal and fraction

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