Выполните действия: а) 7/8 - 1/6; б) 7/9 + 5/15; в) 3 3/4 + 2 4/7; г) 2 4/9 - 1 5/6; д) 3 3/4 * 1 7/9; е) 2 1/10 : 1 1/5

**Ответ:** а) $\frac{17}{24}$ б) $\frac{10}{9} = 1\frac{1}{9}$ в) $6\frac{9}{28}$ г) $\frac{11}{18}$ д) $6\frac{2}{3}$ е) $1\frac{3}{4}$ **Решение:** а) $\frac{7}{8} - \frac{1}{6} = \frac{7 \cdot 3}{24} - \frac{1 \cdot 4}{24} = \frac{21 - 4}{24} = \frac{17}{24}$ б) $\frac{7}{9} + \frac{5}{15} = \frac{7}{9} + \frac{1}{3} = \frac{7}{9} + \frac{3}{9} = \frac{10}{9} = 1\frac{1}{9}$ в) $3\frac{3}{4} + 2\frac{4}{7} = 5 + (\frac{3 \cdot 7}{28} + \frac{4 \cdot 4}{28}) = 5 + \frac{21 + 16}{28} = 5 + \frac{37}{28} = 5 + 1\frac{9}{28} = 6\frac{9}{28}$ г) $2\frac{4}{9} - 1\frac{5}{6} = \frac{22}{9} - \frac{11}{6} = \frac{44}{18} - \frac{33}{18} = \frac{11}{18}$ д) $3\frac{3}{4} \cdot 1\frac{7}{9} = \frac{15}{4} \cdot \frac{16}{9} = \frac{15 \cdot 16}{4 \cdot 9} = \frac{5 \cdot 4}{1 \cdot 3} = \frac{20}{3} = 6\frac{2}{3}$ е) $2\frac{1}{10} : 1\frac{1}{5} = \frac{21}{10} : \frac{6}{5} = \frac{21}{10} \cdot \frac{5}{6} = \frac{21 \cdot 5}{10 \cdot 6} = \frac{7 \cdot 1}{2 \cdot 2} = \frac{7}{4} = 1\frac{3}{4}$