Выполните действия а) $1\frac{1}{3} + 1\frac{1}{5}$

1. a) $1\frac{1}{3} + 1\frac{1}{5} = \frac{4}{3} + \frac{6}{5} = \frac{4 \cdot 5}{3 \cdot 5} + \frac{6 \cdot 3}{5 \cdot 3} = \frac{20}{15} + \frac{18}{15} = \frac{20+18}{15} = \frac{38}{15} = 2\frac{8}{15}$ **Ответ:** $2\frac{8}{15}$ 2. б) $1\frac{1}{3} - 1\frac{1}{4} = \frac{4}{3} - \frac{5}{4} = \frac{4 \cdot 4}{3 \cdot 4} - \frac{5 \cdot 3}{4 \cdot 3} = \frac{16}{12} - \frac{15}{12} = \frac{16-15}{12} = \frac{1}{12}$ **Ответ:** $\frac{1}{12}$ 3. в) $2\frac{1}{9} + 1\frac{1}{8} = \frac{19}{9} + \frac{9}{8} = \frac{19 \cdot 8}{9 \cdot 8} + \frac{9 \cdot 9}{8 \cdot 9} = \frac{152}{72} + \frac{81}{72} = \frac{152+81}{72} = \frac{233}{72} = 3\frac{17}{72}$ **Ответ:** $3\frac{17}{72}$ 4. г) $2\frac{1}{2} - 1\frac{1}{3} = \frac{5}{2} - \frac{4}{3} = \frac{5 \cdot 3}{2 \cdot 3} - \frac{4 \cdot 2}{3 \cdot 2} = \frac{15}{6} - \frac{8}{6} = \frac{15-8}{6} = \frac{7}{6} = 1\frac{1}{6}$ **Ответ:** $1\frac{1}{6}$ 5. д) $3 - 1\frac{2}{5} = \frac{3}{1} - \frac{7}{5} = \frac{3 \cdot 5}{1 \cdot 5} - \frac{7}{5} = \frac{15}{5} - \frac{7}{5} = \frac{15-7}{5} = \frac{8}{5} = 1\frac{3}{5}$ **Ответ:** $1\frac{3}{5}$ 6. е) $\frac{2}{3} \cdot \frac{3}{4} = \frac{2 \cdot 3}{3 \cdot 4} = \frac{6}{12} = \frac{1}{2}$ **Ответ:** $\frac{1}{2}$ 7. ж) $4\frac{1}{5} \cdot 1\frac{1}{5} = \frac{21}{5} \cdot \frac{6}{5} = \frac{21 \cdot 6}{5 \cdot 5} = \frac{126}{25} = 5\frac{1}{25}$ **Ответ:** $5\frac{1}{25}$ 8. з) $\frac{5}{9} \cdot 1\frac{1}{3} = \frac{5}{9} \cdot \frac{4}{3} = \frac{5 \cdot 4}{9 \cdot 3} = \frac{20}{27}$ **Ответ:** $\frac{20}{27}$ 9. к) $2\frac{1}{4} \cdot 1\frac{1}{3} = \frac{9}{4} \cdot \frac{4}{3} = \frac{9 \cdot 4}{4 \cdot 3} = \frac{36}{12} = 3$ **Ответ:** $3$