2. Выполните деление: 6 18 a) 25 : 55 ; 9 13 3 б) 17:18; в) 2 16:4 8

1. a) $$\frac{6}{25} : \frac{18}{55}$$ = $$\frac{6}{25} \cdot \frac{55}{18}$$ = $$\frac{6 \cdot 55}{25 \cdot 18}$$ = $$\frac{6 \cdot 5 \cdot 11}{5 \cdot 5 \cdot 6 \cdot 3}$$ = $$\frac{11}{5 \cdot 3}$$ = $$\frac{11}{15}$$.
2. б) $$\frac{9}{17} : 18$$ = $$\frac{9}{17} : \frac{18}{1}$$ = $$\frac{9}{17} \cdot \frac{1}{18}$$ = $$\frac{9 \cdot 1}{17 \cdot 18}$$ = $$\frac{9 \cdot 1}{17 \cdot 9 \cdot 2}$$ = $$\frac{1}{17 \cdot 2}$$ = $$\frac{1}{34}$$.
3. в) $$2\frac{13}{16} : 4\frac{3}{8}$$ = $$\frac{2 \cdot 16 + 13}{16} : \frac{4 \cdot 8 + 3}{8}$$ = $$\frac{32 + 13}{16} : \frac{32 + 3}{8}$$ = $$\frac{45}{16} : \frac{35}{8}$$ = $$\frac{45}{16} \cdot \frac{8}{35}$$ = $$\frac{45 \cdot 8}{16 \cdot 35}$$ = $$\frac{5 \cdot 9 \cdot 8}{8 \cdot 2 \cdot 5 \cdot 7}$$ = $$\frac{9}{2 \cdot 7}$$ = $$\frac{9}{14}$$.

Ответ: а) $$\frac{11}{15}$$; б) $$\frac{1}{34}$$; в) $$\frac{9}{14}$$