№3. Вычислите значение выражения |x| : |y|, если: 1) x = -4\frac{3}{8}; y = 2\frac{1}{7}; 2) x = 6,42; y = -0,06.

Ответ:

1. \[ x = -4\frac{3}{8} = -\frac{35}{8}, \quad y = 2\frac{1}{7} = \frac{15}{7} \]\[ |x| = |-\frac{35}{8}| = \frac{35}{8}, \quad |y| = |\frac{15}{7}| = \frac{15}{7} \]\[ |x| : |y| = \frac{35}{8} : \frac{15}{7} = \frac{35}{8} \cdot \frac{7}{15} = \frac{7 \cdot 7}{8 \cdot 3} = \frac{49}{24} = 2\frac{1}{24} \]
2. \[ x = 6.42, \quad y = -0.06 \]\[ |x| = |6.42| = 6.42, \quad |y| = |-0.06| = 0.06 \]\[ |x| : |y| = 6.42 : 0.06 = \frac{642}{100} : \frac{6}{100} = \frac{642}{6} = 107 \]

Ответ: