2. Решить уравнение. 1) 5/7 * x = 45 2) x : 4/15 = 5/32 3) 4 2/7 : x = 6/35

Решение:

• 1) \( \frac{5}{7}x = 45 \)
• \( x = 45 : \frac{5}{7} \)
• \( x = 45 \times \frac{7}{5} \)
• \( x = \frac{45 \times 7}{5} \)
• \( x = 9 \times 7 \)
• \( x = 63 \)
• 2) \( x : \frac{4}{15} = \frac{5}{32} \)
• \( x = \frac{5}{32} \times \frac{4}{15} \)
• \( x = \frac{5 \times 4}{32 \times 15} \)
• \( x = \frac{20}{480} \)
• \( x = \frac{1}{24} \)
• 3) \( 4 \frac{2}{7} : x = \frac{6}{35} \)
• \( \frac{30}{7} : x = \frac{6}{35} \)
• \( x = \frac{30}{7} : \frac{6}{35} \)
• \( x = \frac{30}{7} \times \frac{35}{6} \)
• \( x = \frac{30 \times 35}{7 \times 6} \)
• \( x = \frac{1050}{42} \)
• \( x = 25 \)

Ответ: 1) 63, 2) 1/24, 3) 25