Answer
$\frac{10}{27}$
Work Step by Step
Plug in and use PEMDAS (parentheses, exponentiation, multiplication, division, addition, subtraction) to determine which operation goes first.
$\frac{\frac{1}{3}}{1-\frac{1}{10}} = \frac{\frac{1}{3}\cdot3}{\frac{9}{10}\cdot3} = \frac{1}{\frac{27}{10}} = \frac{1\cdot10}{\frac{27}{10}\cdot10} = \frac{10}{27}$
