Решение примеров

1. $$4\frac{2}{7} + 1\frac{3}{5} = \frac{30}{7} + \frac{8}{5} = \frac{30 \cdot 5 + 8 \cdot 7}{35} = \frac{150 + 56}{35} = \frac{206}{35} = 5\frac{31}{35}$$
2. $$6\frac{5}{6} - 2\frac{3}{8} = \frac{41}{6} - \frac{19}{8} = \frac{41 \cdot 4 - 19 \cdot 3}{24} = \frac{164 - 57}{24} = \frac{107}{24} = 4\frac{11}{24}$$
3. $$3\frac{1}{9} + 2\frac{1}{4} = \frac{28}{9} + \frac{9}{4} = \frac{28 \cdot 4 + 9 \cdot 9}{36} = \frac{112 + 81}{36} = \frac{193}{36} = 5\frac{13}{36}$$
4. $$7\frac{1}{3} - 4\frac{5}{6} = \frac{22}{3} - \frac{29}{6} = \frac{22 \cdot 2 - 29}{6} = \frac{44 - 29}{6} = \frac{15}{6} = \frac{5}{2} = 2\frac{1}{2}$$
5. $$5 - 2\frac{7}{12} = 5 - \frac{31}{12} = \frac{5 \cdot 12 - 31}{12} = \frac{60 - 31}{12} = \frac{29}{12} = 2\frac{5}{12}$$