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x=\frac{1}{8}\times \frac{12}{7}
Multiply both sides by \frac{12}{7}, the reciprocal of \frac{7}{12}.
x=\frac{1\times 12}{8\times 7}
Multiply \frac{1}{8} times \frac{12}{7} by multiplying numerator times numerator and denominator times denominator.
x=\frac{12}{56}
Do the multiplications in the fraction \frac{1\times 12}{8\times 7}.
x=\frac{3}{14}
Reduce the fraction \frac{12}{56} to lowest terms by extracting and canceling out 4.