Решение:

1. $$1 - \frac{13}{55} = \frac{55}{55} - \frac{13}{55} = \frac{55-13}{55} = \frac{42}{55}$$
2. $$6 - \frac{9}{20} = \frac{6 \cdot 20}{20} - \frac{9}{20} = \frac{120}{20} - \frac{9}{20} = \frac{120-9}{20} = \frac{111}{20} = 5\frac{11}{20}$$
3. $$10 - 5\frac{12}{35} = 10 - \frac{5 \cdot 35 + 12}{35} = 10 - \frac{175+12}{35} = 10 - \frac{187}{35} = \frac{10 \cdot 35}{35} - \frac{187}{35} = \frac{350}{35} - \frac{187}{35} = \frac{350-187}{35} = \frac{163}{35} = 4\frac{23}{35}$$
4. $$8 - 4\frac{5}{22} = 8 - \frac{4 \cdot 22 + 5}{22} = 8 - \frac{88+5}{22} = 8 - \frac{93}{22} = \frac{8 \cdot 22}{22} - \frac{93}{22} = \frac{176}{22} - \frac{93}{22} = \frac{176-93}{22} = \frac{83}{22} = 3\frac{17}{22}$$

Ответ:

1. $$\frac{42}{55}$$
2. $$5\frac{11}{20}$$
3. $$4\frac{23}{35}$$
4. $$3\frac{17}{22}$$