2. Вычислить: a) $14 - 1\frac{5}{9}$ б) $1\frac{1}{2} - 1\frac{3}{25}$

a) $14 - 1\frac{5}{9} = 14 - \frac{1 \cdot 9 + 5}{9} = 14 - \frac{14}{9} = \frac{14 \cdot 9}{9} - \frac{14}{9} = \frac{126 - 14}{9} = \frac{112}{9} = 12\frac{4}{9}$ б) $1\frac{1}{2} - 1\frac{3}{25} = \frac{1 \cdot 2 + 1}{2} - \frac{1 \cdot 25 + 3}{25} = \frac{3}{2} - \frac{28}{25} = \frac{3 \cdot 25}{2 \cdot 25} - \frac{28 \cdot 2}{25 \cdot 2} = \frac{75}{50} - \frac{56}{50} = \frac{75 - 56}{50} = \frac{19}{50}$ Ответ: a) $12\frac{4}{9}$, б) $\frac{19}{50}$