Выполните действия (10-1 17/27:22/45):4 9/4.

Ответ:

\[\left( 10 - 1\frac{17}{27}\ :\frac{22}{45} \right)\ :4\frac{4}{9} =\]

\[= \left( 10 - \frac{44 \cdot 45}{27 \cdot 22} \right)\ :\frac{40}{9} = \left( 10 - \frac{2 \cdot 5}{3 \cdot 1} \right) \cdot \frac{9}{40} =\]

\[= \left( 10 - \frac{10}{3} \right) \cdot \frac{9}{40} = \frac{10 \cdot 9}{40} - \frac{10 \cdot 9}{3 \cdot 40} =\]

\[= \frac{1 \cdot 9}{4} - \frac{1 \cdot 3}{1 \cdot 4} = \frac{9}{4} - \frac{3}{4} = \frac{6}{4} = 1\frac{2}{4} = 1\frac{1}{2}\text{.\ }\]