Задание 2

Выполнить действия и записать результат в виде десятичной дроби:

1. $$ \frac{2}{11} + \frac{1}{9} = \frac{18}{99} + \frac{11}{99} = \frac{29}{99} = 0,(29) $$
2. $$ \frac{8}{13} + \frac{2}{3} = \frac{24}{39} + \frac{26}{39} = \frac{50}{39} = 1\frac{11}{39} = 1,(282051) $$
3. $$ \frac{1}{3} + 1,25 = \frac{1}{3} + \frac{5}{4} = \frac{4}{12} + \frac{15}{12} = \frac{19}{12} = 1\frac{7}{12} = 1,58(3) $$
4. $$ \frac{1}{6} + 0,33 = \frac{1}{6} + \frac{33}{100} = \frac{50}{300} + \frac{99}{300} = \frac{149}{300} = 0,49(6) $$
5. $$ \frac{3}{14} \cdot 1,05 = \frac{3}{14} \cdot \frac{105}{100} = \frac{3}{14} \cdot \frac{21}{20} = \frac{3}{2} \cdot \frac{3}{20} = \frac{9}{40} = 0,225 $$
6. $$ \frac{7}{9} \cdot 1,7 = \frac{7}{9} \cdot \frac{17}{10} = \frac{119}{90} = 1\frac{29}{90} = 1,3(2) $$