5.280. Выполните вычитание: a) 14 - 6/9; б) 82 - 7/15; в) 5 - 4 3/4; г) 44 - 3 8/11.

a) $$14 - \frac{6}{9} = 13 + 1 - \frac{6}{9} = 13 + \frac{9}{9} - \frac{6}{9} = 13 + \frac{9-6}{9} = 13 + \frac{3}{9} = 13\frac{3}{9}$$. Можно сократить: $$13\frac{3}{9} = 13\frac{1}{3}$$ б) $$82 - \frac{7}{15} = 81 + 1 - \frac{7}{15} = 81 + \frac{15}{15} - \frac{7}{15} = 81 + \frac{15-7}{15} = 81 + \frac{8}{15} = 81\frac{8}{15}$$ в) $$5 - 4\frac{3}{4} = (5 - 4) - \frac{3}{4} = 1 - \frac{3}{4} = \frac{4}{4} - \frac{3}{4} = \frac{4-3}{4} = \frac{1}{4}$$ г) $$44 - 3\frac{8}{11} = (44 - 3) - \frac{8}{11} = 41 - \frac{8}{11} = 40 + 1 - \frac{8}{11} = 40 + \frac{11}{11} - \frac{8}{11} = 40 + \frac{11-8}{11} = 40 + \frac{3}{11} = 40\frac{3}{11}$$ **Ответ:** a) $$13\frac{1}{3}$$, б) $$81\frac{8}{15}$$, в) $$\frac{1}{4}$$, г) $$40\frac{3}{11}$$