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\frac{4\times 4}{7\left(1\times 4+3\right)}
Divide \frac{4}{7} by \frac{1\times 4+3}{4} by multiplying \frac{4}{7} by the reciprocal of \frac{1\times 4+3}{4}.
\frac{16}{7\left(1\times 4+3\right)}
Multiply 4 and 4 to get 16.
\frac{16}{7\left(4+3\right)}
Multiply 1 and 4 to get 4.
\frac{16}{7\times 7}
Add 4 and 3 to get 7.
\frac{16}{49}
Multiply 7 and 7 to get 49.