Вариант 11.3 Выполни указанные действия: 3 1)5-4 14 2)4-3 3 3 11 3)4-2 18 4)+5 1 5) 516+4 6)2- 7)3+5 8)2+2.

Решим данные примеры:

1. $$5\frac{3}{14} - 4\frac{3}{14} = (5 - 4) + (\frac{3}{14} - \frac{3}{14}) = 1 + 0 = 1$$
2. $$4 - 3\frac{3}{13} = 3\frac{13}{13} - 3\frac{3}{13} = (3 - 3) + (\frac{13}{13} - \frac{3}{13}) = 0 + \frac{10}{13} = \frac{10}{13}$$
3. $$4\frac{11}{14} - 2\frac{5}{18} = 4\frac{11 \cdot 9}{14 \cdot 9} - 2\frac{5 \cdot 7}{18 \cdot 7} = 4\frac{99}{126} - 2\frac{35}{126} = (4 - 2) + (\frac{99}{126} - \frac{35}{126}) = 2 + \frac{64}{126} = 2\frac{32}{63}$$
4. $$\frac{1}{7} + 5\frac{5}{7} = 5 + (\frac{1}{7} + \frac{5}{7}) = 5 + \frac{6}{7} = 5\frac{6}{7}$$
5. $$5\frac{15}{16} + 4\frac{1}{4} = 5\frac{15}{16} + 4\frac{1 \cdot 4}{4 \cdot 4} = 5\frac{15}{16} + 4\frac{4}{16} = (5 + 4) + (\frac{15}{16} + \frac{4}{16}) = 9 + \frac{19}{16} = 9 + \frac{16 + 3}{16} = 9 + 1\frac{3}{16} = 10\frac{3}{16}$$
6. $$2\frac{3}{16} - \frac{3}{8} = 2\frac{3}{16} - \frac{3 \cdot 2}{8 \cdot 2} = 2\frac{3}{16} - \frac{6}{16} = 1\frac{16 + 3}{16} - \frac{6}{16} = 1\frac{19}{16} - \frac{6}{16} = 1\frac{13}{16}$$
7. $$3\frac{3}{10} + 5\frac{3}{14} = 3\frac{3 \cdot 7}{10 \cdot 7} + 5\frac{3 \cdot 5}{14 \cdot 5} = 3\frac{21}{70} + 5\frac{15}{70} = (3 + 5) + (\frac{21}{70} + \frac{15}{70}) = 8 + \frac{36}{70} = 8\frac{18}{35}$$
8. $$2\frac{7}{11} + 2 = (2 + 2) + \frac{7}{11} = 4 + \frac{7}{11} = 4\frac{7}{11}$$

Ответ: 1) 1; 2) 10/13; 3) 2 32/63; 4) 5 6/7; 5) 10 3/16; 6) 1 13/16; 7) 8 18/35; 8) 4 7/11