45. Вычислите: а) ((1/2) · (2/3))/(1/3); б) (5/8)/((3/4) · (1/2)); в) 1/((1/2) · (1/6)); г) ((1/4) · (1/7))/((1/2) · (1/14)).

а) \(\frac{\frac{1}{2}\cdot\frac{2}{3}}{\frac{1}{3}}=\frac{1}{3}:\frac{1}{3}=1\).

б) \(\frac{\frac{5}{8}}{\frac{3}{4}\cdot\frac{1}{2}}=\frac{\frac{5}{8}}{\frac{3}{8}}=\frac{5}{3}\).

в) \(\frac{1}{\frac{1}{2}\cdot\frac{1}{6}}=\frac{1}{\frac{1}{12}}=12\).

г) \(\frac{\frac{1}{4}\cdot\frac{1}{7}}{\frac{1}{2}\cdot\frac{1}{14}}=\frac{\frac{1}{28}}{\frac{1}{28}}=1\).

Ответ: а) 1; б) \(\frac{5}{3}\); в) 12; г) 1.