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\frac{6}{4}\times \frac{1\times 7+7}{7}
Add 4 and 2 to get 6.
\frac{3}{2}\times \frac{1\times 7+7}{7}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
\frac{3}{2}\times \frac{7+7}{7}
Multiply 1 and 7 to get 7.
\frac{3}{2}\times \frac{14}{7}
Add 7 and 7 to get 14.
\frac{3}{2}\times 2
Divide 14 by 7 to get 2.
3
Cancel out 2 and 2.