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x=\frac{1}{11}\times \frac{7}{2}
Multiply both sides by \frac{7}{2}, the reciprocal of \frac{2}{7}.
x=\frac{1\times 7}{11\times 2}
Multiply \frac{1}{11} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.
x=\frac{7}{22}
Do the multiplications in the fraction \frac{1\times 7}{11\times 2}.