№2. Найдите значение произведения: a) -3/4 * 4/27; б) -12/13 * (-26/27); в) -6/10 * 30/36; г)-1 3/8 * 1 7/33; д)-1 1/14 * 2 1/3; е)-1 5/9 * 2 1/7.

Ответ:

1. а) \[ -\frac{3}{4} \cdot \frac{4}{27} = -\frac{3 \cdot 4}{4 \cdot 27} = -\frac{12}{108} = -\frac{1}{9} \]
2. б) \[ -\frac{12}{13} \cdot \left(-\frac{26}{27}\right) = \frac{12 \cdot 26}{13 \cdot 27} = \frac{312}{351} = \frac{8}{9} \]
3. в) \[ -\frac{6}{10} \cdot \frac{30}{36} = -\frac{6 \cdot 30}{10 \cdot 36} = -\frac{180}{360} = -\frac{1}{2} \]
4. г) \[ -1 \frac{3}{8} \cdot 1 \frac{7}{33} = -\frac{11}{8} \cdot \frac{40}{33} = -\frac{11 \cdot 40}{8 \cdot 33} = -\frac{440}{264} = -\frac{5}{3} = -1 \frac{2}{3} \]
5. д) \[ -1 \frac{1}{14} \cdot 2 \frac{1}{3} = -\frac{15}{14} \cdot \frac{7}{3} = -\frac{15 \cdot 7}{14 \cdot 3} = -\frac{105}{42} = -\frac{5}{2} = -2 \frac{1}{2} \]
6. е) \[ -1 \frac{5}{9} \cdot 2 \frac{1}{7} = -\frac{14}{9} \cdot \frac{15}{7} = -\frac{14 \cdot 15}{9 \cdot 7} = -\frac{210}{63} = -\frac{10}{3} = -3 \frac{1}{3} \]

Ответ: a) -1/9; б) 8/9; в) -1/2; г) -1 2/3; д) -2 1/2; е) -3 1/3