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\frac{7\times 4}{12\left(1\times 4+3\right)}
Divide \frac{7}{12} by \frac{1\times 4+3}{4} by multiplying \frac{7}{12} by the reciprocal of \frac{1\times 4+3}{4}.
\frac{7}{3\left(3+4\right)}
Cancel out 4 in both numerator and denominator.
\frac{7}{3\times 7}
Add 3 and 4 to get 7.
\frac{7}{21}
Multiply 3 and 7 to get 21.
\frac{1}{3}
Reduce the fraction \frac{7}{21} to lowest terms by extracting and canceling out 7.