2. Выполните деление: a) 9/16 ÷ 27/32 b) 6 ÷ 3/4 c) 3 3/4 ÷ 1 1/2

a) $$\frac{9}{16} \div \frac{27}{32} = \frac{9}{16} \cdot \frac{32}{27} = \frac{9 \cdot 32}{16 \cdot 27} = \frac{9 \cdot 2 \cdot 16}{16 \cdot 3 \cdot 9} = \frac{2}{3}$$

b) $$6 \div \frac{3}{4} = 6 \cdot \frac{4}{3} = \frac{6 \cdot 4}{3} = \frac{2 \cdot 3 \cdot 4}{3} = 2 \cdot 4 = 8$$

c) $$3 \frac{3}{4} \div 1 \frac{1}{2} = \frac{3 \cdot 4 + 3}{4} \div \frac{1 \cdot 2 + 1}{2} = \frac{15}{4} \div \frac{3}{2} = \frac{15}{4} \cdot \frac{2}{3} = \frac{15 \cdot 2}{4 \cdot 3} = \frac{5 \cdot 3 \cdot 2}{2 \cdot 2 \cdot 3} = \frac{5}{2} = 2 \frac{1}{2}$$

Ответ: a) 2/3; б) 8; в) 2 1/2