1. Выполните вычитание: 11 - 5/18 21 - 7/15 8 3/17 - 4 11/17 10 15/16 - 3 15/16

Решение:

1) \(11 - \frac{5}{18}\) = \( \frac{11*18}{18} - \frac{5}{18} \) = \( \frac{198-5}{18} \) = \( \frac{193}{18} \) = 10 \( \frac{13}{18} \)

2) \(21 - \frac{7}{15}\) = \( \frac{21*15}{15} - \frac{7}{15}\) = \( \frac{315 - 7}{15}\) = \( \frac{308}{15} \) = 20 \( \frac{8}{15} \)

3) \(8\frac{3}{17} - 4\frac{11}{17}\) = \( \frac{8*17+3}{17} - \frac{4*17+11}{17}\) = \( \frac{139}{17} - \frac{79}{17}\) = \( \frac{139 - 79}{17}\) = \( \frac{60}{17}\) = 3 \( \frac{9}{17} \)

4) \(10\frac{15}{16} - 3\frac{15}{16}\) = \( \frac{10*16+15}{16} - \frac{3*16+15}{16} \) = \( \frac{175}{16} - \frac{63}{16}\) = \( \frac{175-63}{16}\) = \( \frac{112}{16}\) = 7

Ответ:
1) \(10 \frac{13}{18}\)
2) \(20 \frac{8}{15}\)
3) \(3 \frac{9}{17}\)
4) 7