P) -4/7 : 0.375 * 7.75 - (-0.9) * 13/15 - (-3/5)^2

Решение:

• \[ -\frac{4}{7} : \frac{375}{1000} \cdot \frac{775}{100} - \left( -\frac{9}{10} \right) \cdot \frac{13}{15} - \left( \frac{-9}{25} \right) \]
• \[ -\frac{4}{7} \cdot \frac{1000}{375} \cdot \frac{775}{100} + \frac{9 \cdot 13}{10 \cdot 15} - \frac{9}{25} \]
• \[ -\frac{4}{7} \cdot \frac{8}{3} \cdot \frac{31}{4} + \frac{3 \cdot 13}{10 \cdot 5} - \frac{9}{25} \]
• \[ -\frac{4 \cdot 8 \cdot 31}{7 \cdot 3 \cdot 4} + \frac{39}{50} - \frac{9}{25} \]
• \[ -\frac{248}{21} + \frac{39}{50} - \frac{18}{50} \]
• \[ -\frac{248}{21} + \frac{21}{50} \]
• \[ \frac{-248 \cdot 50 + 21 \cdot 21}{21 \cdot 50} = \frac{-12400 + 441}{1050} = \frac{-11959}{1050} \]

Ответ: -11959/1050