2. Вычислите: a) 4/5 * (15/16 : 3/4) б) 15/23 : 5/6 * 23/24

а) \(\frac{4}{5} \cdot (\frac{15}{16} : \frac{3}{4}) = \frac{4}{5} \cdot (\frac{15}{16} \cdot \frac{4}{3}) = \frac{4}{5} \cdot \frac{60}{48} = \frac{4}{5} \cdot \frac{5}{4} = 1\) б) \(\frac{15}{23} : \frac{5}{6} \cdot \frac{23}{24} = \frac{15}{23} \cdot \frac{6}{5} \cdot \frac{23}{24} = \frac{15 \cdot 6 \cdot 23}{23 \cdot 5 \cdot 24} = \frac{15 \cdot 6}{5 \cdot 24} = \frac{3 \cdot 1}{1 \cdot 4} = \frac{3}{4}\)