Math Problem Solver

\[ \frac{1}{10} - \frac{3}{5} = - \frac{1}{2} = -0.5 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{10}\) and \(\frac{-3}{5}\) is \(10\). \[ \begin{aligned} \frac{1}{10} - \frac{3}{5} &= \frac{1 \cdot 1}{10 \cdot 1} + \frac{-3 \cdot 2}{5 \cdot 2} \\ &= \frac{1 + -6}{10} \\ &= \frac{-5}{10} \\&= - \frac{1}{2} \end{aligned} \]