Вопрос:

Вычислите: а) \(\frac{3}{8}+\frac{4}{8}\); б) \(6\frac{9}{16}+3\frac{11}{16}\); в) \(10\frac{9}{13}-3\frac{3}{13}\); г) \(18\frac{2}{5}-5\frac{3}{5}\); д) \(\frac{5}{9}\cdot\frac{18}{35}\); е) \(\frac{28}{9}\cdot\frac{15}{7}\); ж) \(\frac{8}{15}:\frac{16}{25}\); з) \(\frac{18}{5}:\frac{24}{10}\).

Ответ:

  1. а) \(\frac{3}{8}+\frac{4}{8}=\frac{7}{8}\).
  2. б) \(6\frac{9}{16}+3\frac{11}{16}=9+\frac{20}{16}=9+1\frac{4}{16}=10\frac{1}{4}\).
  3. в) \(10\frac{9}{13}-3\frac{3}{13}=7+\frac{6}{13}=7\frac{6}{13}\).
  4. г) \(18\frac{2}{5}-5\frac{3}{5}=17\frac{7}{5}-5\frac{3}{5}=12\frac{4}{5}\).
  5. д) \(\frac{5}{9}\cdot\frac{18}{35}=\frac{1}{7}\).
  6. е) \(\frac{28}{9}\cdot\frac{15}{7}=\frac{20}{3}=6\frac{2}{3}\).
  7. ж) \(\frac{8}{15}:\frac{16}{25}=\frac{8}{15}\cdot\frac{25}{16}=\frac{5}{6}\).
  8. з) \(\frac{18}{5}:\frac{24}{10}=\frac{18}{5}\cdot\frac{10}{24}=\frac{3}{2}=1\frac{1}{2}\).

Ответ: а) \(\frac{7}{8}\); б) \(10\frac{1}{4}\); в) \(7\frac{6}{13}\); г) \(12\frac{4}{5}\); д) \(\frac{1}{7}\); е) \(6\frac{2}{3}\); ж) \(\frac{5}{6}\); з) \(1\frac{1}{2}\).