### Вариант 1
Выполните вычитание:
а) $1 - \frac{5}{8} = \frac{8}{8} - \frac{5}{8} = \frac{3}{8}$
б) $3\frac{3}{10} - 1\frac{7}{15} = 3\frac{9}{30} - 1\frac{14}{30} = 2\frac{39}{30} - 1\frac{14}{30} = 1\frac{25}{30} = 1\frac{5}{6}$
в) $10 - 1\frac{1}{9} = 9\frac{9}{9} - 1\frac{1}{9} = 8\frac{8}{9}$
г) $7\frac{5}{18} - 1\frac{7}{12} = 7\frac{10}{36} - 1\frac{21}{36} = 6\frac{46}{36} - 1\frac{21}{36} = 5\frac{25}{36}$
д) $9\frac{5}{6} - 2\frac{3}{4} = 9\frac{10}{12} - 2\frac{9}{12} = 7\frac{1}{12}$
е) $5\frac{3}{24} - 1\frac{1}{21} = 5\frac{21}{168} - 1\frac{8}{168} = 4\frac{13}{168}$
### Вариант 2
Выполните вычитание:
а) $1 - \frac{4}{9} = \frac{9}{9} - \frac{4}{9} = \frac{5}{9}$
б) $8\frac{8}{15} - 4\frac{9}{20} = 8\frac{32}{60} - 4\frac{27}{60} = 4\frac{5}{60} = 4\frac{1}{12}$
в) $4 - 3\frac{3}{4} = 3\frac{4}{4} - 3\frac{3}{4} = \frac{1}{4}$
г) $9\frac{4}{21} - 4\frac{11}{14} = 9\frac{8}{42} - 4\frac{33}{42} = 8\frac{50}{42} - 4\frac{33}{42} = 4\frac{17}{42}$
д) $7\frac{5}{10} - \frac{7}{6} = 7\frac{1}{2} - 1\frac{1}{6} = 7\frac{3}{6} - 1\frac{1}{6} = 6\frac{2}{6} = 6\frac{1}{3}$
е) $5\frac{5}{33} - 4\frac{7}{22} = 5\frac{10}{66} - 4\frac{21}{66} = 4\frac{76}{66} - 4\frac{21}{66} = \frac{55}{66} = \frac{5}{6}$
### Вариант 3
Выполните вычитание:
а) $1 - \frac{5}{9} = \frac{4}{9}$
б) $4\frac{4}{15} - 2\frac{9}{40} = 4\frac{32}{120} - 2\frac{27}{120} = 2\frac{5}{120} = 2\frac{1}{24}$
в) $5 - 1\frac{4}{5} = 4\frac{5}{5} - 1\frac{4}{5} = 3\frac{1}{5}$
г) $6\frac{7}{15} - 3\frac{9}{10} = 6\frac{14}{30} - 3\frac{27}{30} = 5\frac{44}{30} - 3\frac{27}{30} = 2\frac{17}{30}$
д) $5\frac{1}{20} - 2\frac{1}{12} = 5\frac{3}{60} - 2\frac{5}{60} = 4\frac{63}{60} - 2\frac{5}{60} = 2\frac{58}{60} = 2\frac{29}{30}$
е) $4\frac{1}{26} - 3\frac{8}{39} = 4\frac{3}{78} - 3\frac{16}{78} = 3\frac{81}{78} - 3\frac{16}{78} = \frac{65}{78} = \frac{5}{6}$
### Вариант 4
Выполните вычитание:
а) $1 - \frac{5}{6} = \frac{1}{6}$
б) $8\frac{3}{4} - 7\frac{5}{6} = 8\frac{9}{12} - 7\frac{10}{12} = 7\frac{21}{12} - 7\frac{10}{12} = \frac{11}{12}$
в) $5 - 2\frac{5}{9} = 4\frac{9}{9} - 2\frac{5}{9} = 2\frac{4}{9}$
г) $2\frac{5}{8} - 1\frac{3}{10} = 2\frac{25}{40} - 1\frac{12}{40} = 1\frac{13}{40}$
д) $2\frac{13}{14} - 1\frac{20}{21} = 2\frac{39}{42} - 1\frac{40}{42} = 1\frac{81}{42} - 1\frac{40}{42} = \frac{41}{42}$
е) $8\frac{19}{20} - 3\frac{7}{30} = 8\frac{57}{60} - 3\frac{14}{60} = 5\frac{43}{60}$
### Вариант 5
1. Найдите значение выражения:
а) $8 - 3\frac{6}{7} = 7\frac{7}{7} - 3\frac{6}{7} = 4\frac{1}{7}$
б) $2\frac{1}{8} + 3\frac{5}{12} = 2\frac{3}{24} + 3\frac{10}{24} = 5\frac{13}{24}$
в) $5\frac{13}{15} + 1\frac{7}{12} = 5\frac{52}{60} + 1\frac{35}{60} = 6\frac{87}{60} = 7\frac{27}{60} = 7\frac{9}{20}$
г) $7\frac{3}{8} - 3\frac{5}{6} = 7\frac{9}{24} - 3\frac{20}{24} = 6\frac{33}{24} - 3\frac{20}{24} = 3\frac{13}{24}$
2. Решите уравнения:
а) $12 - x = 1\frac{1}{9} \Rightarrow x = 12 - 1\frac{1}{9} = 10\frac{8}{9}$
б) $7 - y = 3\frac{1}{3} \Rightarrow y = 7 - 3\frac{1}{3} = 3\frac{2}{3}$
в) $5\frac{8}{9} + x = 7\frac{1}{18} \Rightarrow x = 7\frac{1}{18} - 5\frac{8}{9} = 7\frac{1}{18} - 5\frac{16}{18} = 6\frac{19}{18} - 5\frac{16}{18} = 1\frac{3}{18} = 1\frac{1}{6}$
г) $y + 3\frac{5}{9} = 5\frac{4}{9} \Rightarrow y = 5\frac{4}{9} - 3\frac{5}{9} = 4\frac{13}{9} - 3\frac{5}{9} = 1\frac{8}{9}$
### Вариант 6
1. Выполните вычисление:
а) $7 - 4\frac{5}{9} = 6\frac{9}{9} - 4\frac{5}{9} = 2\frac{4}{9}$
б) $4\frac{3}{10} + 1\frac{5}{12} = 4\frac{18}{60} + 1\frac{25}{60} = 5\frac{43}{60}$
в) $6\frac{13}{21} + 2\frac{9}{14} = 6\frac{26}{42} + 2\frac{27}{42} = 8\frac{53}{42} = 9\frac{11}{42}$
г) $5\frac{1}{6} - 3\frac{3}{4} = 5\frac{2}{12} - 3\frac{9}{12} = 4\frac{14}{12} - 3\frac{9}{12} = 1\frac{5}{12}$
2. Решите уравнения:
а) $x + 4\frac{3}{8} = 6\frac{1}{8} \Rightarrow x = 6\frac{1}{8} - 4\frac{3}{8} = 5\frac{9}{8} - 4\frac{3}{8} = 1\frac{6}{8} = 1\frac{3}{4}$
б) $3 + y = 1\frac{5}{9}$ (Ошибка в условии: $1\frac{5}{9} < 3$, возможно $3 - y$ или $y - 3$)
Если $3 + y = 1\frac{5}{9}$, то $y = 1\frac{5}{9} - 3 = -1\frac{4}{9}$.
в) $8 - x = 4\frac{1}{7} \Rightarrow x = 8 - 4\frac{1}{7} = 3\frac{6}{7}$
г) $2\frac{3}{7} + y = 5\frac{1}{7} \Rightarrow y = 5\frac{1}{7} - 2\frac{3}{7} = 4\frac{8}{7} - 2\frac{3}{7} = 2\frac{5}{7}$
