Найдите значение выражения: 2 1/3*6/7-2 1/4:5 3/4.

\[2\frac{1}{3} \cdot \frac{6}{7} - 2\frac{1}{4}\ :5\frac{3}{4} =\]

\[= \frac{7}{3} \cdot \frac{6}{7} - \frac{9}{4}\ :\frac{23}{4} = \frac{7 \cdot 6}{3 \cdot 7} - \frac{9 \cdot 4}{4 \cdot 23} =\]

\[= 2^{\backslash 23} - \frac{9}{23} = \frac{46}{23} - \frac{9}{23} = \frac{37}{23} =\]

\[= 1\frac{14}{23}\]