Answer:
11/20
Step-by-step explanation:
[tex]\text{First, multiply 1 times 11, and then add the numerator. We have}\\\\\frac{1\cdot11+9}{11}=\frac{20}{11}\\\\\text{Then, reciprocal is just switching the numerator + denenomanator, so we have } \frac{11}{20}[/tex]