Ответ:
- а) \(1-\frac{5}{8}=\frac{8}{8}-\frac{5}{8}=\frac{3}{8}\).
- б) \(3\frac{3}{10}-1\frac{7}{15}=2+\left(\frac{3}{10}-\frac{7}{15}\right)=2+\left(\frac{9}{30}-\frac{14}{30}\right)=1\frac{25}{30}=1\frac{5}{6}\).
- в) \(10-1\frac{1}{9}=8+\left(1-\frac{1}{9}\right)=8\frac{8}{9}\).
- г) \(7\frac{5}{18}-1\frac{7}{12}=6+\left(\frac{5}{18}-\frac{7}{12}\right)\). Общий знаменатель: \(36\): \(6+\frac{10}{36}-\frac{21}{36}=5\frac{25}{36}\).
- д) \(9\frac{5}{6}-2\frac{3}{4}=7+\left(\frac{5}{6}-\frac{3}{4}\right)=7+\frac{10-9}{12}=7\frac{1}{12}\).
- е) \(5\frac{3}{24}-1\frac{1}{21}=4+\left(\frac{3}{24}-\frac{1}{21}\right)=4+\left(\frac{1}{8}-\frac{1}{21}\right)=4+\frac{13}{168}=4\frac{13}{168}\).
Ответ: а) \(\frac{3}{8}\); б) \(1\frac{5}{6}\); в) \(8\frac{8}{9}\); г) \(5\frac{25}{36}\); д) \(7\frac{1}{12}\); е) \(4\frac{13}{168}\).
