Найдите значение выражения: 1 1/48*2 2/5-(9 1/6*4/15+2 5/9)*1/4.

\[1\frac{1}{48} \cdot 2\frac{2}{5} - \left( 9\frac{1}{6} \cdot \frac{4}{15} + 2\frac{5}{9} \right) \cdot \frac{1}{4} =\]

\[= \frac{49 \cdot 12}{48 \cdot 5} - \left( \frac{55 \cdot 4}{6 \cdot 15} + \frac{23}{9} \right) \cdot \frac{1}{4} =\]

\[= \frac{49}{20} - \left( \frac{22}{9} + \frac{23}{9} \right) \cdot \frac{1}{4} =\]

\[= \frac{49}{20} - \frac{45}{9} \cdot \frac{1}{4} = \frac{49}{20} - \frac{5^{\backslash 5}}{4} =\]

\[= \frac{49 - 25}{20} = \frac{24}{20} = \frac{6}{5} = 1\frac{1}{5}\]