1. Выполните деление: 1) 1 : 1/7; 2) 1 : 0,3; 3) 4/7 : 7/8; 4) 6/49 : 18/35; 5) 5 : 2/9; 6) 11/16 : 33.

Решение:

1. \( 1 : \frac{1}{7} = 1 \cdot 7 = 7 \)
2. \( 1 : 0,3 = 1 : \frac{3}{10} = 1 \cdot \frac{10}{3} = \frac{10}{3} = 3\frac{1}{3} \)
3. \( \frac{4}{7} : \frac{7}{8} = \frac{4}{7} \cdot \frac{8}{7} = \frac{32}{49} \)
4. \( \frac{6}{49} : \frac{18}{35} = \frac{6}{49} \cdot \frac{35}{18} = \frac{6 \cdot 35}{49 \cdot 18} = \frac{6 \cdot 5 \cdot 7}{7 \cdot 7 \cdot 3 \cdot 6} = \frac{5}{21} \)
5. \( 5 : \frac{2}{9} = 5 \cdot \frac{9}{2} = \frac{45}{2} = 22\frac{1}{2} \)
6. \( \frac{11}{16} : 33 = \frac{11}{16} \cdot \frac{1}{33} = \frac{11}{16 \cdot 3 \cdot 11} = \frac{1}{48} \)

Ответ: 1) 7; 2) 3⅓; 3) 32/49; 4) 5/21; 5) 22½; 6) 1/48.