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\frac{\left(1\times 7+6\right)\times 11}{7\left(1\times 11+8\right)}
Divide \frac{1\times 7+6}{7} by \frac{1\times 11+8}{11} by multiplying \frac{1\times 7+6}{7} by the reciprocal of \frac{1\times 11+8}{11}.
\frac{\left(7+6\right)\times 11}{7\left(1\times 11+8\right)}
Multiply 1 and 7 to get 7.
\frac{13\times 11}{7\left(1\times 11+8\right)}
Add 7 and 6 to get 13.
\frac{143}{7\left(1\times 11+8\right)}
Multiply 13 and 11 to get 143.
\frac{143}{7\left(11+8\right)}
Multiply 1 and 11 to get 11.
\frac{143}{7\times 19}
Add 11 and 8 to get 19.
\frac{143}{133}
Multiply 7 and 19 to get 133.