1. Выполните действие: a) 3/7 * 5/11; б) 6/25 * 5/18; в) 3 1/5 * 1/9; г) 1 3/7 * 14; д) 5/9 : 10/27; e) 12/13 : 6.

1. Выполните действие:

1. а) \[ \frac{3}{7} \times \frac{5}{11} = \frac{3 \times 5}{7 \times 11} = \frac{15}{77} \]
2. б) \[ \frac{6}{25} \times \frac{5}{18} = \frac{6 \times 5}{25 \times 18} = \frac{30}{450} = \frac{1}{15} \]
3. в) \[ 3 \frac{1}{5} \times \frac{1}{9} = \frac{16}{5} \times \frac{1}{9} = \frac{16 \times 1}{5 \times 9} = \frac{16}{45} \]
4. г) \[ 1 \frac{3}{7} \times 14 = \frac{10}{7} \times 14 = \frac{10 \times 14}{7} = 10 \times 2 = 20 \]
5. д) \[ \frac{5}{9} : \frac{10}{27} = \frac{5}{9} \times \frac{27}{10} = \frac{5 \times 27}{9 \times 10} = \frac{5 \times 3 \times 9}{9 \times 2 \times 5} = \frac{3}{2} = 1 \frac{1}{2} \]
6. е) \[ \frac{12}{13} : 6 = \frac{12}{13} \times \frac{1}{6} = \frac{12 \times 1}{13 \times 6} = \frac{2 \times 6}{13 \times 6} = \frac{2}{13} \]

Ответ: а) 15/77; б) 1/15; в) 16/45; г) 20; д) 1 1/2; е) 2/13.