Answer
$\frac{29}{110}$
Work Step by Step
$\frac{9}{10}\times\frac{1}{3}-\frac{2}{5}\times\frac{1}{11}\ \longrightarrow$ multiplication is done before subtraction
=$\frac{/\!\!3\times3}{10}\times\frac{1}{/\!\!3}-\frac{2}{55}\ \longrightarrow$ eliminate common factors
=$\frac{3}{10}-\frac{2}{55}$
=$\frac{3\times55}{10\times55}-\frac{2\times10}{55\times10}\ \longrightarrow$ convert to like fractions; LCD is 550
=$\frac{165}{550}-\frac{20}{550}\ \longrightarrow$ subtract
=$\frac{145}{550}$
=$\frac{145\div5}{550\div5}\ \longrightarrow$ reduce
=$\frac{29}{110}$
