1. Найдите произведение a) 5/6 * 7/9 б) 11/28 * 7/33 в) 8/25 * 4/11 г) 5/7 * 1/13 д) 2 2/3 * 6

Решение:

1. \( \frac{5}{6} \times \frac{7}{9} = \frac{5 \times 7}{6 \times 9} = \frac{35}{54} \)
2. \( \frac{11}{28} \times \frac{7}{33} = \frac{11 \times 7}{28 \times 33} = \frac{11}{28_4} \times \frac{7^1}{33_3} = \frac{1 \times 1}{4 \times 3} = \frac{1}{12} \)
3. \( \frac{8}{25} \times \frac{4}{11} = \frac{8 \times 4}{25 \times 11} = \frac{32}{275} \)
4. \( \frac{5}{7} \times \frac{1}{13} = \frac{5 \times 1}{7 \times 13} = \frac{5}{91} \)
5. \( 2 \frac{2}{3} \times 6 = \frac{2 \times 3 + 2}{3} \times 6 = \frac{8}{3} \times 6 = \frac{8 \times 6}{3} = \frac{48}{3} = 16 \)

Ответ: а) 35/54; б) 1/12; в) 32/275; г) 5/91; д) 16.