Answer
$\frac{20}{33}$
Work Step by Step
Plug in and use PEMDAS (parentheses, exponentiation, multiplication, division, addition, subtraction) to determine which operation goes first.
$\frac{\frac{6}{11}}{1-\frac{1}{10}} = \frac{\frac{6}{11}\cdot11}{\frac{9}{10}\cdot11} = \frac{6}{\frac{99}{10}} = \frac{6\cdot10}{\frac{99}{10}\cdot10} = \frac{60}{99} = \frac{20}{33}$