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\frac{22}{7\left(-11\right)}
Express \frac{\frac{22}{7}}{-11} as a single fraction.
\frac{22}{-77}
Multiply 7 and -11 to get -77.
-\frac{2}{7}
Reduce the fraction \frac{22}{-77} to lowest terms by extracting and canceling out 11.