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\frac{11\times 26}{52\left(7\times 26+7\right)}
Divide \frac{11}{52} by \frac{7\times 26+7}{26} by multiplying \frac{11}{52} by the reciprocal of \frac{7\times 26+7}{26}.
\frac{11}{2\left(7+7\times 26\right)}
Cancel out 26 in both numerator and denominator.
\frac{11}{2\left(7+182\right)}
Multiply 7 and 26 to get 182.
\frac{11}{2\times 189}
Add 7 and 182 to get 189.
\frac{11}{378}
Multiply 2 and 189 to get 378.