Решение

a) $$1,(3) = 1 + 0,(3) = 1 + \frac{3}{9} = 1 + \frac{1}{3} = \frac{4}{3}$$

b) $$2,(25) = 2 + 0,(25) = 2 + \frac{25}{99} = 2 + \frac{25}{99} = \frac{223}{99}$$

в) $$1,6(7) = 1,6 + 0,0(7) = \frac{16}{10} + \frac{7}{90} = \frac{144}{90} + \frac{7}{90} = \frac{151}{90}$$

г) $$0,41(6) = 0,41 + 0,00(6) = \frac{41}{100} + \frac{6}{900} = \frac{369}{900} + \frac{6}{900} = \frac{375}{900} = \frac{5}{12}$$

д) $$5,2(45) = 5,2 + 0,0(45) = \frac{52}{10} + \frac{45}{990} = \frac{5148}{990} + \frac{45}{990} = \frac{5193}{990} = \frac{1731}{330}$$

e) $$3,6(020) = 3,6 + 0,0(020) = \frac{36}{10} + \frac{20}{9990} = \frac{35964}{9990} + \frac{20}{9990} = \frac{35984}{9990} = \frac{17992}{4995}$$