Math Problem Solver

\[ \frac{8}{5} - \frac{2}{11} = \frac{78}{55} = 1.4\overline{18} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{8}{5}\) and \(\frac{-2}{11}\) is \(55\). \[ \begin{aligned} \frac{8}{5} - \frac{2}{11} &= \frac{8 \cdot 11}{5 \cdot 11} + \frac{-2 \cdot 5}{11 \cdot 5} \\ &= \frac{88 + -10}{55} \\ &= \frac{78}{55} \end{aligned} \]