Which of these fractions is the largest: $\frac{3}{5}, \frac{5}{8}, \frac{7}{11}, \frac{9}{14}$?

Explanation

1. 01

   As decimals: $\frac{3}{5} = 0.6$, $\frac{5}{8} = 0.625$, $\frac{7}{11} \approx 0.636$, $\frac{9}{14} \approx 0.643$.

2. 02

   Or compare the two closest by cross-multiplying: $7 \times 14 = 98$ and $9 \times 11 = 99$, so $\frac{9}{14} > \frac{7}{11}$.

3. 03

   The largest is $\frac{9}{14}$.