Вычислите: 1) 6 ⁵⁄₁₃ + 2 ⁸⁄₁₃; 2) 5 ⁴⁄₇ + 3 ⁶⁄₇; 3) 1 - 15⁄₁₉; 4) 8 - 3 ⁴⁄₉; 5) 7 ³⁄₈ - 2 ⁵⁄₈; 6) 14 ¹⁵⁄₃₂ - 9 ¹⁹⁄₃₂.

Решение:

1. \( 6 ¾ + 2 ¾ = (6+2) + (¾ + ¾) = 8 + ¼ = 8 ¼ \)
2. \( 5 ¾ + 3 ¾ = (5+3) + (¾ + ¾) = 8 + ¾ = 8 ¾ \)
3. \( 1 - ¾ = ¾ \)
4. \( 8 - 3 ¾ = 7 ¾ - 3 ¾ = (7-3) + (¾ - ¾) = 4 + ¾ = 4 ¾ \)
5. \( 7 ¾ - 2 ¾ = (7-2) + (¾ - ¾) = 5 + (¾ - ¾) = 5 + (-¾) = 4 ¾ \)
6. \( 14 ¾ - 9 ¾ = (14-9) + (¾ - ¾) = 5 + (-¾) = 4 ¾ \)

Ответ: 1) 8 ⅘; 2) 8 ⅘; 3) ⅘; 4) 4 ⅘; 5) 4 ⅘; 6) 4 ⅘.