Сокращение дробей

a)

1. $$\frac{22}{66} = \frac{2 \cdot 11}{6 \cdot 11} = \frac{2}{6} = \frac{1 \cdot 2}{3 \cdot 2} = \frac{1}{3}$$
2. $$\frac{125}{75} = \frac{25 \cdot 5}{25 \cdot 3} = \frac{5}{3} = 1\frac{2}{3}$$
3. $$\frac{75}{100} = \frac{25 \cdot 3}{25 \cdot 4} = \frac{3}{4}$$
4. $$\frac{24}{360} = \frac{12 \cdot 2}{12 \cdot 30} = \frac{2}{30} = \frac{1 \cdot 2}{15 \cdot 2} = \frac{1}{15}$$
5. $$\frac{125}{1000} = \frac{125 \cdot 1}{125 \cdot 8} = \frac{1}{8}$$
6. $$\frac{100}{250} = \frac{50 \cdot 2}{50 \cdot 5} = \frac{2}{5}$$
7. $$\frac{198}{126} = \frac{2 \cdot 99}{2 \cdot 63} = \frac{99}{63} = \frac{9 \cdot 11}{9 \cdot 7} = \frac{11}{7} = 1\frac{4}{7}$$

б)

1. $$\frac{42}{720} = \frac{6 \cdot 7}{6 \cdot 120} = \frac{7}{120}$$
2. $$\frac{75}{300} = \frac{75 \cdot 1}{75 \cdot 4} = \frac{1}{4}$$
3. $$\frac{40}{64} = \frac{8 \cdot 5}{8 \cdot 8} = \frac{5}{8}$$
4. $$\frac{3}{243} = \frac{3 \cdot 1}{3 \cdot 81} = \frac{1}{81}$$
5. $$\frac{18}{300} = \frac{6 \cdot 3}{6 \cdot 50} = \frac{3}{50}$$
6. $$\frac{45}{900} = \frac{45 \cdot 1}{45 \cdot 20} = \frac{1}{20}$$
7. $$\frac{120}{180} = \frac{60 \cdot 2}{60 \cdot 3} = \frac{2}{3}$$