Вопрос:

Вычислите: 1) \(\frac{3}{10}+\frac{8}{10}\); 2) \(\frac{2}{5}+\frac{9}{16}\); 3) \(2\frac{5}{12}-2\frac{1}{3}\); 4) \(9\frac{1}{16}-3\frac{3}{8}\); 5) \(\frac{8}{9}\cdot26\); 6) \(15:\frac{5}{8}\).

Ответ:

  1. \(\frac{3}{10}+\frac{8}{10}=\frac{11}{10}=1\frac{1}{10}\).
  2. \(\frac{2}{5}+\frac{9}{16}=\frac{32}{80}+\frac{45}{80}=\frac{77}{80}\).
  3. \(2\frac{5}{12}-2\frac{1}{3}=2\frac{5}{12}-2\frac{4}{12}=\frac{1}{12}\).
  4. \(9\frac{1}{16}-3\frac{3}{8}=9\frac{1}{16}-3\frac{6}{16}=5\frac{11}{16}\).
  5. \(\frac{8}{9}\cdot26=\frac{208}{9}=23\frac{1}{9}\).
  6. \(15:\frac{5}{8}=15\cdot\frac{8}{5}=24\).

Ответ: 1) \(1\frac{1}{10}\); 2) \(\frac{77}{80}\); 3) \(\frac{1}{12}\); 4) \(5\frac{11}{16}\); 5) \(23\frac{1}{9}\); 6) \(24\).