Д) (5 − 7/12 − 17/36) : 2 + 1/2 − 1/3 : 3/26 + 1/2

Решение:

\( (5 - \frac{7}{12} - \frac{17}{36}) : 2 + \frac{1}{2} - \frac{1}{3} : \frac{3}{26} + \frac{1}{2} \)

1. \( 5 - \frac{7}{12} - \frac{17}{36} = \frac{180}{36} - \frac{21}{36} - \frac{17}{36} = \frac{142}{36} = \frac{71}{18} \)
2. \( \frac{71}{18} : 2 = \frac{71}{36} \)
3. \( \frac{1}{3} : \frac{3}{26} = \frac{1}{3} \cdot \frac{26}{3} = \frac{26}{9} \)
4. \( \frac{71}{36} + \frac{1}{2} - \frac{26}{9} + \frac{1}{2} = \frac{71}{36} + 1 - \frac{26}{9} = \frac{71}{36} + \frac{36}{36} - \frac{104}{36} = \frac{71 + 36 - 104}{36} = \frac{3}{36} = \frac{1}{12} \)

Ответ: \( \frac{1}{12} \)