2.344 Выполните действия: a) $$\frac{9}{52} \cdot 4\frac{1}{3} \cdot 1\frac{1}{3} + \left(3\frac{2}{3} + 2\frac{4}{5}\right) \cdot \frac{60}{97} + \frac{5}{36} \cdot 1\frac{4}{5}$$; б) $$\left(\frac{5}{9} + \frac{1}{5}\right) \cdot \left(28\frac{6}{7} - 19\frac{5}{14}\right) \cdot \frac{9}{17} \cdot 1\frac{1}{5}$$

<p>Математика</p> <p><strong>а) $$\frac{9}{52} \cdot 4\frac{1}{3} \cdot 1\frac{1}{3} + \left(3\frac{2}{3} + 2\frac{4}{5}\right) \cdot \frac{60}{97} + \frac{5}{36} \cdot 1\frac{4}{5}$$</strong></p> $$\begin{aligned}\frac{9}{52} \cdot 4\frac{1}{3} \cdot 1\frac{1}{3} + \left(3\frac{2}{3} + 2\frac{4}{5}\right) \cdot \frac{60}{97} + \frac{5}{36} \cdot 1\frac{4}{5} &= \frac{9}{52} \cdot \frac{13}{3} \cdot \frac{4}{3} + \left(\frac{11}{3} + \frac{14}{5}\right) \cdot \frac{60}{97} + \frac{5}{36} \cdot \frac{9}{5} =\\&= \frac{9 \cdot 13 \cdot 4}{52 \cdot 3 \cdot 3} + \left(\frac{55}{15} + \frac{42}{15}\right) \cdot \frac{60}{97} + \frac{5 \cdot 9}{36 \cdot 5} = \\&= \frac{468}{468} + \frac{97}{15} \cdot \frac{60}{97} + \frac{45}{180} =\\&= 1 + \frac{97 \cdot 60}{15 \cdot 97} + \frac{1}{4} = 1 + \frac{60}{15} + \frac{1}{4} =\\&= 1 + 4 + \frac{1}{4} = 5\frac{1}{4} = \frac{21}{4} = 5.25\end{aligned}$$ <p><strong>Ответ: $$5\frac{1}{4}$$ или $$5.25$$</strong></p> <p><strong>б) $$\left(\frac{5}{9} + \frac{1}{5}\right) \cdot \left(28\frac{6}{7} - 19\frac{5}{14}\right) \cdot \frac{9}{17} \cdot 1\frac{1}{5}$$</strong></p> $$\begin{aligned}\left(\frac{5}{9} + \frac{1}{5}\right) \cdot \left(28\frac{6}{7} - 19\frac{5}{14}\right) \cdot \frac{9}{17} \cdot 1\frac{1}{5} &= \left(\frac{25}{45} + \frac{9}{45}\right) \cdot \left(\frac{202}{7} - \frac{271}{14}\right) \cdot \frac{9}{17} \cdot \frac{6}{5} =\\&= \frac{34}{45} \cdot \left(\frac{404}{14} - \frac{271}{14}\right) \cdot \frac{9}{17} \cdot \frac{6}{5} = \\&= \frac{34}{45} \cdot \frac{133}{14} \cdot \frac{9}{17} \cdot \frac{6}{5} = \\&= \frac{34 \cdot 133 \cdot 9 \cdot 6}{45 \cdot 14 \cdot 17 \cdot 5} = \\&= \frac{272148}{53550} = 5.08212969\end{aligned}$$ <p><strong>Ответ: $$\frac{272148}{53550}$$ или $$5.08212969$$</strong></p>