Выполните вычитание: a) 14 - \frac{6}{9}; б) 82 - \frac{7}{15}; в) 5 - 4\frac{3}{4}; г) 44 - 3

a) \[14 - \frac{6}{9} = 13 + 1 - \frac{6}{9} = 13 + \frac{9}{9} - \frac{6}{9} = 13 + \frac{9-6}{9} = 13 + \frac{3}{9} = 13\frac{3}{9} = 13\frac{1}{3}\] 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) \[5 - 4\frac{3}{4} = 5 - \frac{4 \cdot 4 + 3}{4} = 5 - \frac{16+3}{4} = 5 - \frac{19}{4} = \frac{5 \cdot 4}{4} - \frac{19}{4} = \frac{20}{4} - \frac{19}{4} = \frac{20-19}{4} = \frac{1}{4}\] г) \[44 - 3 = 41\]

Ответ: a) \[13\frac{1}{3}\]; б) \[81\frac{8}{15}\]; в) \[\frac{1}{4}\]; г) \[41\]