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\frac{1\times 2+1}{2\times 3}
Express \frac{\frac{1\times 2+1}{2}}{3} as a single fraction.
\frac{2+1}{2\times 3}
Multiply 1 and 2 to get 2.
\frac{3}{2\times 3}
Add 2 and 1 to get 3.
\frac{3}{6}
Multiply 2 and 3 to get 6.
\frac{1}{2}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.