Вопрос:

273. Сократите дроби: a) $$ rac{4}{10}$$, $$ rac{8}{12}$$, $$ rac{6}{9}$$, $$ rac{9}{12}$$; б) $$ rac{2}{8}$$, $$ rac{3}{12}$$, $$ rac{10}{2}$$, $$ rac{6}{30}$$; в) $$ rac{15}{60}$$, $$ rac{88}{33}$$, $$ rac{2}{100}$$, $$ rac{50}{100}$$

Ответ:

273. Сократите дроби:

a)

  • $$ rac{4}{10} = \frac{2 \times 2}{2 \times 5} = \frac{2}{5}$$
  • $$ rac{8}{12} = \frac{4 \times 2}{4 \times 3} = \frac{2}{3}$$
  • $$ rac{6}{9} = \frac{3 \times 2}{3 \times 3} = \frac{2}{3}$$
  • $$ rac{9}{12} = \frac{3 \times 3}{3 \times 4} = \frac{3}{4}$$

б)

  • $$ rac{2}{8} = \frac{2 \times 1}{2 \times 4} = \frac{1}{4}$$
  • $$ rac{3}{12} = \frac{3 \times 1}{3 \times 4} = \frac{1}{4}$$
  • $$ rac{10}{2} = \frac{2 \times 5}{2 \times 1} = 5$$
  • $$ rac{6}{30} = \frac{6 \times 1}{6 \times 5} = \frac{1}{5}$$

в)

  • $$ rac{15}{60} = \frac{15 \times 1}{15 \times 4} = \frac{1}{4}$$
  • $$ rac{88}{33} = \frac{11 \times 8}{11 \times 3} = \frac{8}{3}$$
  • $$ rac{2}{100} = \frac{2 \times 1}{2 \times 50} = \frac{1}{50}$$
  • $$ rac{50}{100} = \frac{50 \times 1}{50 \times 2} = \frac{1}{2}$$
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