Math Problem Solver

\[ \frac{11}{15} - \frac{2}{5} = \frac{1}{3} = 0.\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{11}{15}\) and \(\frac{-2}{5}\) is \(15\). \[ \begin{aligned} \frac{11}{15} - \frac{2}{5} &= \frac{11 \cdot 1}{15 \cdot 1} + \frac{-2 \cdot 3}{5 \cdot 3} \\ &= \frac{11 + -6}{15} \\ &= \frac{5}{15} \\&= \frac{1}{3} \end{aligned} \]