\[\left( \frac{2}{3} + \frac{7}{15} \right) - \frac{2}{15} = \frac{2}{3} + \left( \frac{7}{15} - \frac{2}{15} \right) =\]
\[= \frac{2}{3} + \frac{5}{15} = \frac{2}{3} + \frac{1}{3} = \frac{3}{3} = 1.\]