Найдите значение выражения: (5 8/9:1 17/36+1 1/4):4 1/5.

\[\left( 5\frac{8}{9}\ :1\frac{17}{36} + 1\frac{1}{4} \right)\ :4\frac{1}{5} =\]

\[= \left( \frac{53 \cdot 36}{9 \cdot 53} + \frac{5}{4} \right)\ :\frac{21}{5} =\]

\[= \left( 4 + \frac{5}{4} \right) \cdot \frac{5}{21} =\]

\[= 4\frac{4}{5} \cdot \frac{5}{21} = \frac{21 \cdot 5}{4 \cdot 21} = \frac{5}{4} = 1\frac{1}{4}\]