Вопрос:

Вычислите: 1) 3/2 + 1/4; 2) 2/3 + 1/9; 3) 1/3 − 1/4; 4) 1/3 − 1/9; 5) 1/3 + 1/4; 6) 1/3 + 1/9; 7) 3/4 − 1/2; 8) 2/3 − 1/9; 9) 3/2 − 1/3; 10) 11/24 + 2/15.

Ответ:

  1. \(\frac{3}{2}+\frac{1}{4}=\frac{6}{4}+\frac{1}{4}=\frac{7}{4}=1\frac{3}{4}\).
  2. \(\frac{2}{3}+\frac{1}{9}=\frac{6}{9}+\frac{1}{9}=\frac{7}{9}\).
  3. \(\frac{1}{3}-\frac{1}{4}=\frac{4}{12}-\frac{3}{12}=\frac{1}{12}\).
  4. \(\frac{1}{3}-\frac{1}{9}=\frac{3}{9}-\frac{1}{9}=\frac{2}{9}\).
  5. \(\frac{1}{3}+\frac{1}{4}=\frac{4}{12}+\frac{3}{12}=\frac{7}{12}\).
  6. \(\frac{1}{3}+\frac{1}{9}=\frac{3}{9}+\frac{1}{9}=\frac{4}{9}\).
  7. \(\frac{3}{4}-\frac{1}{2}=\frac{3}{4}-\frac{2}{4}=\frac{1}{4}\).
  8. \(\frac{2}{3}-\frac{1}{9}=\frac{6}{9}-\frac{1}{9}=\frac{5}{9}\).
  9. \(\frac{3}{2}-\frac{1}{3}=\frac{9}{6}-\frac{2}{6}=\frac{7}{6}=1\frac{1}{6}\).
  10. \(\frac{11}{24}+\frac{2}{15}=\frac{55}{120}+\frac{16}{120}=\frac{71}{120}\).
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