Задание №2. Умножение дробей с сокращением

1. $$ \frac{2}{3} \cdot \frac{6}{7} = \frac{2 \cdot 6}{3 \cdot 7} = \frac{12}{21} = \frac{4}{7} $$
2. $$ \frac{5}{6} \cdot \frac{4}{10} = \frac{5 \cdot 4}{6 \cdot 10} = \frac{20}{60} = \frac{1}{3} $$
3. $$ \frac{11}{14} \cdot \frac{7}{22} = \frac{11 \cdot 7}{14 \cdot 22} = \frac{77}{308} = \frac{1}{4} $$
4. $$ \frac{3}{17} \cdot \frac{2}{11} = \frac{3 \cdot 2}{17 \cdot 11} = \frac{6}{187} $$
5. $$ \frac{10}{33} \cdot \frac{6}{34} = \frac{10 \cdot 6}{33 \cdot 34} = \frac{60}{1122} = \frac{10}{187} $$
6. $$ \frac{4}{12} \cdot \frac{18}{20} = \frac{4 \cdot 18}{12 \cdot 20} = \frac{72}{240} = \frac{3}{10} $$
7. $$ \frac{12}{21} \cdot \frac{20}{15} = \frac{12 \cdot 20}{21 \cdot 15} = \frac{240}{315} = \frac{16}{21} $$
8. $$ \frac{25}{14} \cdot \frac{42}{16} = \frac{25 \cdot 42}{14 \cdot 16} = \frac{1050}{224} = \frac{3 \cdot 350}{3 \cdot 74 + 2/3} $$
9. $$ \frac{24}{30} \cdot \frac{16}{21} = \frac{24 \cdot 16}{30 \cdot 21} = \frac{384}{630} = \frac{64}{105} $$