1. Вычислите: (12/81-76/9):(64/9)⋅9/37 Ответ: -1/37

1. Вычислите: $$\left(\frac{12}{81}-\frac{76}{9}\right):\frac{64}{9} \cdot \frac{9}{37} = \left(\frac{12}{81}-\frac{76 \cdot 9}{9 \cdot 9}\right):\frac{64}{9} \cdot \frac{9}{37} = \left(\frac{12-684}{81}\right):\frac{64}{9} \cdot \frac{9}{37} = \frac{-672}{81}:\frac{64}{9} \cdot \frac{9}{37} = -\frac{672}{81} \cdot \frac{9}{64} \cdot \frac{9}{37} = -\frac{672 \cdot 9 \cdot 9}{81 \cdot 64 \cdot 37} = -\frac{672 \cdot 9 \cdot 9}{9 \cdot 9 \cdot 64 \cdot 37} = -\frac{672}{64 \cdot 37} = -\frac{168 \cdot 4}{16 \cdot 4 \cdot 37} = -\frac{168}{16 \cdot 37} = -\frac{42 \cdot 4}{4 \cdot 4 \cdot 37} = -\frac{42}{4 \cdot 37} = -\frac{21 \cdot 2}{2 \cdot 2 \cdot 37} = -\frac{21}{2 \cdot 37} = -\frac{21}{74}$$ Ответ: -21/74