Math Problem Solver

\[ \frac{15}{42} - \frac{1}{7} = \frac{3}{14} = 0.2\overline{142857} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{15}{42}\) and \(\frac{-1}{7}\) is \(42\). \[ \begin{aligned} \frac{15}{42} - \frac{1}{7} &= \frac{15 \cdot 1}{42 \cdot 1} + \frac{-1 \cdot 6}{7 \cdot 6} \\ &= \frac{15 + -6}{42} \\ &= \frac{9}{42} \\&= \frac{3}{14} \end{aligned} \]