160. Вычислите значение выражения |x| : |y|, если: 1) x = -3 2/3 , y = 4 2/5; 2) x = 7,14, y = -0,07.

1) $$x = -3\frac{2}{3}, y = 4\frac{2}{5}$$

1. $$|-3\frac{2}{3}| : |4\frac{2}{5}|$$
2. $$|-3\frac{2}{3}| = |-\frac{11}{3}| = \frac{11}{3}$$
3. $$|4\frac{2}{5}| = |\frac{22}{5}| = \frac{22}{5}$$
4. $$\frac{11}{3} : \frac{22}{5} = \frac{11}{3} \cdot \frac{5}{22} = \frac{11 \cdot 5}{3 \cdot 22} = \frac{1 \cdot 5}{3 \cdot 2} = \frac{5}{6}$$

Ответ: 5/6

2) $$x = 7.14, y = -0.07$$

1. $$|7.14| : |-0.07|$$
2. $$|7.14| = 7.14$$
3. $$|-0.07| = 0.07$$
4. $$7.14 : 0.07 = 714 : 7 = 102$$

Ответ: 102