248. Сократите дроби: а) \(\frac{22}{66}\), \(\frac{125}{75}\), \(\frac{75}{100}\), \(\frac{24}{360}\), \(\frac{125}{1000}\), \(\frac{100}{250}\), \(\frac{198}{126}\) б) \(\frac{42}{720}\), \(\frac{75}{300}\), \(\frac{40}{64}\), \(\frac{3}{243}\), \(\frac{18}{300}\), \(\frac{45}{900}\), \(\frac{120}{180}\)

а) Сокращаем каждую дробь:
\(\frac{22}{66} = \frac{2 \cdot 11}{6 \cdot 11} = \frac{1}{3}\)
\(\frac{125}{75} = \frac{25 \cdot 5}{25 \cdot 3} = \frac{5}{3}\)
\(\frac{75}{100} = \frac{25 \cdot 3}{25 \cdot 4} = \frac{3}{4}\)
\(\frac{24}{360} = \frac{12 \cdot 2}{12 \cdot 30} = \frac{1}{15}\)
\(\frac{125}{1000} = \frac{125 \cdot 1}{125 \cdot 8} = \frac{1}{8}\)
\(\frac{100}{250} = \frac{50 \cdot 2}{50 \cdot 5} = \frac{2}{5}\)
\(\frac{198}{126} = \frac{6 \cdot 33}{6 \cdot 21} = \frac{33}{21} = \frac{3 \cdot 11}{3 \cdot 7} = \frac{11}{7}\)
б) Сокращаем каждую дробь:
\(\frac{42}{720} = \frac{6 \cdot 7}{6 \cdot 120} = \frac{7}{120}\)
\(\frac{75}{300} = \frac{75 \cdot 1}{75 \cdot 4} = \frac{1}{4}\)
\(\frac{40}{64} = \frac{8 \cdot 5}{8 \cdot 8} = \frac{5}{8}\)
\(\frac{3}{243} = \frac{3 \cdot 1}{3 \cdot 81} = \frac{1}{81}\)
\(\frac{18}{300} = \frac{6 \cdot 3}{6 \cdot 50} = \frac{3}{50}\)
\(\frac{45}{900} = \frac{45 \cdot 1}{45 \cdot 20} = \frac{1}{20}\)
\(\frac{120}{180} = \frac{60 \cdot 2}{60 \cdot 3} = \frac{2}{3}\)
Ответ:
a) \(\frac{1}{3}\), \(\frac{5}{3}\), \(\frac{3}{4}\), \(\frac{1}{15}\), \(\frac{1}{8}\), \(\frac{2}{5}\), \(\frac{11}{7}\)
б) \(\frac{7}{120}\), \(\frac{1}{4}\), \(\frac{5}{8}\), \(\frac{1}{81}\), \(\frac{3}{50}\), \(\frac{1}{20}\), \(\frac{2}{3}\)