22. Выполните вычитание:

Решение:

a) \( 1 - \frac{5}{8} \)

\( \frac{8}{8} - \frac{5}{8} = \frac{3}{8} \)

б) \( 10 - 1 \frac{1}{9} \)

\( 10 - \frac{10}{9} = \frac{90}{9} - \frac{10}{9} = \frac{80}{9} = 8 \frac{8}{9} \)

в) \( 3 \frac{3}{10} - 1 \frac{7}{15} \)

\( \frac{33}{10} - \frac{22}{15} = \frac{99}{30} - \frac{44}{30} = \frac{55}{30} = \frac{11}{6} = 1 \frac{5}{6} \)

г) \( 9 \frac{5}{6} - 2 \frac{3}{4} \)

\( \frac{59}{6} - \frac{11}{4} = \frac{118}{12} - \frac{33}{12} = \frac{85}{12} = 7 \frac{1}{12} \)

д) \( 7 \frac{5}{18} - 1 \frac{7}{12} \)

\( \frac{131}{18} - \frac{19}{12} = \frac{262}{36} - \frac{57}{36} = \frac{205}{36} = 5 \frac{25}{36} \)

е) \( 5 \frac{3}{24} - 1 \frac{1}{21} \)

\( 5 \frac{1}{8} - 1 \frac{1}{21} = \frac{41}{8} - \frac{22}{21} = \frac{861}{168} - \frac{176}{168} = \frac{685}{168} = 4 \frac{13}{168} \)

Ответ: а) \( \frac{3}{8} \); б) \( 8 \frac{8}{9} \); в) \( 1 \frac{5}{6} \); г) \( 7 \frac{1}{12} \); д) \( 5 \frac{25}{36} \); е) \( 4 \frac{13}{168} \).