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You asked:
Evaluate the expression: \(\frac{6}{7} - \frac{1}{5}\)
MathBot Answer:
\[ \frac{6}{7} - \frac{1}{5} = \frac{23}{35} = 0.6\overline{571428} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{6}{7}\) and \(\frac{-1}{5}\) is \(35\). \[ \begin{aligned} \frac{6}{7} - \frac{1}{5} &= \frac{6 \cdot 5}{7 \cdot 5} + \frac{-1 \cdot 7}{5 \cdot 7} \\ &= \frac{30 + -7}{35} \\ &= \frac{23}{35} \end{aligned} \]