Ordering four fractions

Statement

Arrange the fractions in ascending order: $\frac{3}{8},\quad \frac{5}{12},\quad \frac{7}{18},\quad \frac{4}{9}.$

Solution

It is convenient to turn them into decimals: $\frac{3}{8}=0.375,\quad \frac{7}{18}=0.38\overline{8},\quad \frac{5}{12}=0.41\overline{6},\quad \frac{4}{9}=0.\overline{4}.$ So the ascending order is $\boxed{\ \frac{3}{8} < \frac{7}{18} < \frac{5}{12} < \frac{4}{9}\ }.$