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\frac{6}{8\times 2}
Divide \frac{1}{8} by \frac{2}{6} by multiplying \frac{1}{8} by the reciprocal of \frac{2}{6}.
\frac{6}{16}
Multiply 8 and 2 to get 16.
\frac{3}{8}
Reduce the fraction \frac{6}{16} to lowest terms by extracting and canceling out 2.