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\frac{22\times 2}{3}x=\frac{3}{4}\times \frac{1}{6}
Express 22\times \frac{2}{3} as a single fraction.
\frac{44}{3}x=\frac{3}{4}\times \frac{1}{6}
Multiply 22 and 2 to get 44.
\frac{44}{3}x=\frac{3\times 1}{4\times 6}
Multiply \frac{3}{4} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.
\frac{44}{3}x=\frac{3}{24}
Do the multiplications in the fraction \frac{3\times 1}{4\times 6}.
\frac{44}{3}x=\frac{1}{8}
Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.
x=\frac{1}{8}\times \frac{3}{44}
Multiply both sides by \frac{3}{44}, the reciprocal of \frac{44}{3}.
x=\frac{1\times 3}{8\times 44}
Multiply \frac{1}{8} times \frac{3}{44} by multiplying numerator times numerator and denominator times denominator.
x=\frac{3}{352}
Do the multiplications in the fraction \frac{1\times 3}{8\times 44}.