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\frac{\frac{\frac{3}{2}}{1}}{\frac{2}{4}\times 2}
Express \frac{\frac{\frac{\frac{3}{2}}{1}}{\frac{2}{4}}}{2} as a single fraction.
\frac{\frac{3}{2}}{\frac{2}{4}\times 2}
Anything divided by one gives itself.
\frac{\frac{3}{2}}{\frac{1}{2}\times 2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{\frac{3}{2}}{1}
Cancel out 2 and 2.
\frac{3}{2}
Anything divided by one gives itself.