Math Problem Solver

\[ 2\frac{3}{7} - \frac{2}{7} = \frac{15}{7} = 2.\overline{142857} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{1}\), \(\frac{3}{7}\), and \(\frac{-2}{7}\) is \(7\). \[ \begin{aligned} 2\frac{3}{7} - \frac{2}{7} &= \frac{2 \cdot 7}{1 \cdot 7} + \frac{3 \cdot 1}{7 \cdot 1} + \frac{-2 \cdot 1}{7 \cdot 1} \\ &= \frac{14 + 3 + -2}{7} \\ &= \frac{15}{7} \end{aligned} \]