Вариант 4. Выполните вычитание: a) $$1-\frac{5}{6}$$ б) $$5-2\frac{5}{9}$$ в) $$2\frac{13}{14}-1\frac{21}{21}$$ г) $$8\frac{3}{7}-4\frac{5}{6}$$ д) $$2\frac{1}{8}-1\frac{3}{10}$$ е) $$3\frac{19}{20}-3\frac{7}{30}$$

Решение:

1. \( 1 - \frac{5}{6} = \frac{6}{6} - \frac{5}{6} = \frac{1}{6} \)
2. \( 5 - 2\frac{5}{9} = 4\frac{9}{9} - 2\frac{5}{9} = 2\frac{4}{9} \)
3. \( 2\frac{13}{14} - 1\frac{21}{21} = 2\frac{13}{14} - 2 = \frac{13}{14} \)
4. \( 8\frac{3}{7} - 4\frac{5}{6} = 8\frac{18}{42} - 4\frac{35}{42} = 7\frac{60}{42} - 4\frac{35}{42} = 3\frac{25}{42} \)
5. \( 2\frac{1}{8} - 1\frac{3}{10} = 2\frac{5}{40} - 1\frac{12}{40} = 1\frac{45}{40} - 1\frac{12}{40} = \frac{33}{40} \)
6. \( 3\frac{19}{20} - 3\frac{7}{30} = 3\frac{57}{60} - 3\frac{14}{60} = \frac{43}{60} \)