Составь программу действий и вычисли: многоэтажные дроби.

1) $1 + \frac{2}{1 - \frac{1}{2}} = 1 + \frac{2}{\frac{1}{2}} = 1 + 4 = 5$ 2) $\frac{3}{\frac{1}{3} + 1} - \frac{2}{1 - \frac{3}{4}} = \frac{3}{\frac{4}{3}} - \frac{2}{\frac{1}{4}} = \frac{9}{4} - 8 = 2,25 - 8 = -5,75$ 3) $\frac{1 + \frac{1 - \frac{3}{5}}{2}}{1 - \frac{1 + \frac{3}{5}}{2}} = \frac{1 + \frac{\frac{2}{5}}{2}}{1 - \frac{\frac{8}{5}}{2}} = \frac{1 + \frac{1}{5}}{1 - \frac{4}{5}} = \frac{\frac{6}{5}}{\frac{1}{5}} = 6$ 4) $\frac{\frac{4}{1 + \frac{2}{6}} - \frac{1}{2}}{\frac{4}{\frac{1}{2} - \frac{1}{6}} + 1 \frac{1}{2}} = \frac{\frac{4}{\frac{4}{3}} - \frac{1}{2}}{\frac{4}{\frac{1}{3}} + \frac{3}{2}} = \frac{3 - 0,5}{12 + 1,5} = \frac{2,5}{13,5} = \frac{25}{135} = \frac{5}{27}$ 5) $1 + \frac{1}{1 + \frac{1}{1 + \frac{1}{1 + \frac{1}{2}}}} = 1 + \frac{1}{1 + \frac{1}{1 + \frac{1}{\frac{3}{2}}}} = 1 + \frac{1}{1 + \frac{1}{1 + \frac{2}{3}}} = 1 + \frac{1}{1 + \frac{1}{\frac{5}{3}}} = 1 + \frac{1}{1 + \frac{3}{5}} = 1 + \frac{1}{\frac{8}{5}} = 1 + \frac{5}{8} = 1 \frac{5}{8} = 1,625$ 6) $2 - \frac{1}{2 - \frac{1}{2 - \frac{1}{2 - \frac{1}{2}}}} = 2 - \frac{1}{2 - \frac{1}{2 - \frac{1}{\frac{3}{2}}}} = 2 - \frac{1}{2 - \frac{1}{2 - \frac{2}{3}}} = 2 - \frac{1}{2 - \frac{1}{\frac{4}{3}}} = 2 - \frac{1}{2 - \frac{3}{4}} = 2 - \frac{1}{\frac{5}{4}} = 2 - \frac{4}{5} = 1,2$ **Ответ:** 1) 5; 2) -5,75; 3) 6; 4) 5/27; 5) 1,625; 6) 1,2.