Вариант 5. Найдите значение выражения: a) $$8-3\frac{6}{7}$$ б) $$5\frac{13}{15}+1\frac{7}{12}$$ в) $$7\frac{3}{8}-3\frac{5}{6}$$ г) $$4\frac{1}{10}+3\frac{5}{12}$$

Решение:

1. \( 8 - 3\frac{6}{7} = 7\frac{7}{7} - 3\frac{6}{7} = 4\frac{1}{7} \)
2. \( 5\frac{13}{15} + 1\frac{7}{12} = 5\frac{52}{60} + 1\frac{35}{60} = 6\frac{87}{60} = 7\frac{27}{60} = 7\frac{9}{20} \)
3. \( 7\frac{3}{8} - 3\frac{5}{6} = 7\frac{9}{24} - 3\frac{20}{24} = 6\frac{33}{24} - 3\frac{20}{24} = 3\frac{13}{24} \)
4. \( 4\frac{1}{10} + 3\frac{5}{12} = 4\frac{6}{60} + 3\frac{25}{60} = 7\frac{31}{60} \)