1. Вычислите: 1) 3,2 / 1,92; 3) 0,04 / 0,007; 5) 6 / (5/7); 2) 5,75 / 2,5; 4) 3/5 : 12/25; 6) 5/14 : 3

Решение:

• 1) \( \frac{3,2}{1,92} = \frac{320}{192} = \frac{10}{6} = \frac{5}{3} \)
• 3) \( \frac{0,04}{0,007} = \frac{40}{7} \)
• 5) \( 6 : \frac{5}{7} = 6 \times \frac{7}{5} = \frac{42}{5} = 8.4 \)
• 2) \( \frac{5,75}{2,5} = \frac{575}{250} = \frac{23}{10} = 2.3 \)
• 4) \( \frac{3}{5} : \frac{12}{25} = \frac{3}{5} \times \frac{25}{12} = \frac{3 \times 25}{5 \times 12} = \frac{75}{60} = \frac{5}{4} = 1.25 \)
• 6) \( \frac{5}{14} : 3 = \frac{5}{14} \times \frac{1}{3} = \frac{5}{42} \)