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x=\frac{11}{6}\times \frac{8}{7}
Multiply both sides by \frac{8}{7}, the reciprocal of \frac{7}{8}.
x=\frac{11\times 8}{6\times 7}
Multiply \frac{11}{6} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.
x=\frac{88}{42}
Do the multiplications in the fraction \frac{11\times 8}{6\times 7}.
x=\frac{44}{21}
Reduce the fraction \frac{88}{42} to lowest terms by extracting and canceling out 2.