1. **State the problem:** Which is the largest number between $\frac{3}{25}$ and $\frac{2}{9}$? 2. **Convert fractions to decimals for easy comparison:** - $\frac{3}{25} = \frac{3}{25} = 0.12$ - $\frac{2}{9} = \frac{2}{9} \approx 0.2222$ 3. **Compare the decimal values:** - $0.12 < 0.2222$ 4. **Conclusion:** - $\frac{2}{9}$ is larger than $\frac{3}{25}$. **Final answer:** $\boxed{\frac{2}{9}}$ is the largest number.