Задание 48. Решите уравнение. А. 1) 1/3 x = 1 1/3; 2) 1/7 x = 2 1/7; 3) 2/5 x = 1 3/5; 4) 7/9 x = 3 1/9; 5) 1 1/4 x = 5/8; 6) 1 2/3 x = 1/3; 7) 2 1/7 x = 3/7; 8) 3 1/3 x = 20/33.

1. Коэффициент при \(x\) равен \(\frac{1}{3}\). Делим обе части на него: \(x=1\frac{1}{3}:\frac{1}{3}=\frac{4}{3}\cdot3=4\).

2. \(x=2\frac{1}{7}:\frac{1}{7}=\frac{15}{7}\cdot7=15\).

3. \(x=1\frac{3}{5}:\frac{2}{5}=\frac{8}{5}\cdot\frac{5}{2}=4\).

4. \(x=3\frac{1}{9}:\frac{7}{9}=\frac{28}{9}\cdot\frac{9}{7}=4\).

5. \(x=\frac{5}{8}:1\frac{1}{4}=\frac{5}{8}:\frac{5}{4}=\frac{5}{8}\cdot\frac{4}{5}=\frac{1}{2}\).

6. \(x=\frac{1}{3}:1\frac{2}{3}=\frac{1}{3}:\frac{5}{3}=\frac{1}{3}\cdot\frac{3}{5}=\frac{1}{5}\).

7. \(x=\frac{3}{7}:2\frac{1}{7}=\frac{3}{7}:\frac{15}{7}=\frac{3}{7}\cdot\frac{7}{15}=\frac{1}{5}\).

8. \(x=\frac{20}{33}:3\frac{1}{3}=\frac{20}{33}:\frac{10}{3}=\frac{20}{33}\cdot\frac{3}{10}=\frac{2}{11}\).

Ответ: 1) 4; 2) 15; 3) 4; 4) 4; 5) \(\frac{1}{2}\); 6) \(\frac{1}{5}\); 7) \(\frac{1}{5}\); 8) \(\frac{2}{11}\).