Ответ:

  1. \(6\frac{1}{4}-2\frac{3}{4}=5\frac{5}{4}-2\frac{3}{4}=3\frac{2}{4}=3\frac{1}{2}\).
  2. \(3\frac{1}{6}-1\frac{1}{2}=3\frac{1}{6}-1\frac{3}{6}=1\frac{4}{6}=1\frac{2}{3}\).
  3. \(1\frac{2}{7}\cdot3=\frac{9}{7}\cdot3=\frac{27}{7}=3\frac{6}{7}\).
  4. \(2\frac{1}{4}\cdot1\frac{1}{3}=\frac{9}{4}\cdot\frac{4}{3}=3\).
  5. \(2\frac{2}{5}:4=\frac{12}{5}:4=\frac{12}{5}\cdot\frac{1}{4}=\frac{3}{5}\).
  6. \(4\frac{1}{2}:1\frac{1}{4}=\frac{9}{2}:\frac{5}{4}=\frac{9}{2}\cdot\frac{4}{5}=\frac{18}{5}=3\frac{3}{5}\).