Вопрос:

Вычислите: 3 2/7 + 5 3/14; 7 3/8 + 1 5/6; 7 + 3 5/8; 2/3 + 4 3/5; 1 − 3/4; 7 − 1 7/8; 3 7/9 − 4/15; 3 4/9 − 1 5/6; 10 1/2 − 4 9/14.

Ответ:

  1. \(3\frac{2}{7}+5\frac{3}{14}=3\frac{4}{14}+5\frac{3}{14}=8\frac{7}{14}=8\frac{1}{2}\).
  2. \(7\frac{3}{8}+1\frac{5}{6}=8+\frac{9}{24}+\frac{20}{24}=8+\frac{29}{24}=9\frac{5}{24}\).
  3. \(7+3\frac{5}{8}=10\frac{5}{8}\).
  4. \(\frac{2}{3}+4\frac{3}{5}=4+\frac{10}{15}+\frac{9}{15}=5\frac{4}{15}\).
  5. \(1-\frac{3}{4}=\frac{1}{4}\).
  6. \(7-1\frac{7}{8}=6\frac{8}{8}-1\frac{7}{8}=5\frac{1}{8}\).
  7. \(3\frac{7}{9}-\frac{4}{15}=3+\frac{35}{45}-\frac{12}{45}=3\frac{23}{45}\).
  8. \(3\frac{4}{9}-1\frac{5}{6}=2\frac{26}{18}-1\frac{15}{18}=1\frac{11}{18}\).
  9. \(10\frac{1}{2}-4\frac{9}{14}=10\frac{7}{14}-4\frac{9}{14}=9\frac{21}{14}-4\frac{9}{14}=5\frac{12}{14}=5\frac{6}{7}\).

Ответ: 8 1/2; 9 5/24; 10 5/8; 5 4/15; 1/4; 5 1/8; 3 23/45; 1 11/18; 5 6/7.