91\(\frac{2}{5}\)\(\cdot\)\(\frac{3}{5}\):5\(\frac{5}{5}\)+3\(\frac{12}{25}\):\(\frac{6}{25}\)

Решение:

1. \( 91\frac{2}{5} = \frac{457}{5} \)
2. \( 5\frac{5}{5} = 6 \)
3. \( \frac{457}{5} \cdot \frac{3}{5} = \frac{1371}{25} \)
4. \( \frac{1371}{25} : 6 = \frac{1371}{25 \cdot 6} = \frac{1371}{150} \)
5. \( 3\frac{12}{25} = \frac{87}{25} \)
6. \( \frac{87}{25} : \frac{6}{25} = \frac{87}{25} \cdot \frac{25}{6} = \frac{87}{6} = \frac{29}{2} \)
7. \( \frac{1371}{150} + \frac{29}{2} = \frac{1371}{150} + \frac{29 \cdot 75}{150} = \frac{1371 + 2175}{150} = \frac{3546}{150} = \frac{591}{25} \)

Ответ: \(\frac{591}{25}\)