1) $\frac{24}{25} : \frac{2}{5} = \frac{24}{25} * \frac{5}{2} = \frac{12}{5} * \frac{1}{1} = 2\frac{2}{5}$
2) $2\frac{2}{5} : 6 = \frac{12}{5} * \frac{1}{6} = \frac{2}{5} * \frac{1}{1} = \frac{2}{5}$
3) $\frac{2}{5} - \frac{1}{3} = \frac{2 * 3 - 1 * 5}{15} = \frac{6 - 5}{15} = \frac{1}{15}$
4) $\frac{1}{15} : \frac{1}{5} = \frac{1}{15} * \frac{5}{1} = \frac{1}{3} * \frac{1}{1} = \frac{1}{3}$
5) $\frac{1}{3} + \frac{1}{6} = \frac{1 * 2 + 1}{6} = \frac{2 + 1}{6} = \frac{3}{6} = \frac{1}{2}$
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