Math Problem Solver

\[ \frac{6}{7} - \frac{1}{4} + \frac{1}{3} = \frac{79}{84} = 0.94\overline{047619} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{6}{7}\), \(\frac{-1}{4}\), and \(\frac{1}{3}\) is \(84\). \[ \begin{aligned} \frac{6}{7} - \frac{1}{4} + \frac{1}{3} &= \frac{6 \cdot 12}{7 \cdot 12} + \frac{-1 \cdot 21}{4 \cdot 21} + \frac{1 \cdot 28}{3 \cdot 28} \\ &= \frac{72 + -21 + 28}{84} \\ &= \frac{79}{84} \end{aligned} \]