3. Вычислить значение выражения |p|:|k|, если p=-3\frac{2}{3}, k=4\frac{2}{5}.

$$p = -3\frac{2}{3} = -\frac{3 \cdot 3 + 2}{3} = -\frac{9+2}{3} = -\frac{11}{3}$$

$$k = 4\frac{2}{5} = \frac{4 \cdot 5 + 2}{5} = \frac{20+2}{5} = \frac{22}{5}$$

$$|p| = |-\frac{11}{3}| = \frac{11}{3}$$

$$|k| = |\frac{22}{5}| = \frac{22}{5}$$

$$|p|:|k| = \frac{11}{3} : \frac{22}{5} = \frac{11}{3} \cdot \frac{5}{22} = \frac{11 \cdot 5}{3 \cdot 22} = \frac{11 \cdot 5}{3 \cdot 2 \cdot 11} = \frac{5}{6}$$

Ответ: $$\frac{5}{6}$$