Answer
$\frac{1}{42}$
Work Step by Step
$6^{-1}-7^{-1}=\frac{1}{6}-\frac{1}{7}=\frac{1\times7}{6\times7}-\frac{1\times6}{7\times6}=\frac{7}{42}-\frac{6}{42}=\frac{7-6}{42}=\frac{1}{42}$
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