Math Problem Solver

\[ \frac{4}{7} - \frac{1}{6} = \frac{17}{42} = 0.4\overline{047619} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{7}\) and \(\frac{-1}{6}\) is \(42\). \[ \begin{aligned} \frac{4}{7} - \frac{1}{6} &= \frac{4 \cdot 6}{7 \cdot 6} + \frac{-1 \cdot 7}{6 \cdot 7} \\ &= \frac{24 + -7}{42} \\ &= \frac{17}{42} \end{aligned} \]