Упр.67 ГДЗ Ткачёва 6 класс (Математика)

1) 5/9 : 1/2; 2) 3/7 : 4/5; 3) 1 : 7/18; 4) 2 : 4/9;
5) 14/17 : 3; 6) 9/11 : 2; 7) 12/13 : 9/26; 8) 4/15 : 6/25;
9) 1 1/8 : 6 3/4; 10) 2 1/12 : 2 3/16; 11) 4 : 2 2/3; 12) 3 2/5 : 4.

При делении на дробь умножаем на обратную дробь:

$$a : \frac{b}{c} = a \cdot \frac{c}{b}$$

1) $$\frac{5}{9} : \frac{1}{2} = \frac{5}{9} \cdot \frac{2}{1} = \frac{10}{9} = 1\frac{1}{9}$$

2) $$\frac{3}{7} : \frac{4}{5} = \frac{3}{7} \cdot \frac{5}{4} = \frac{15}{28}$$

3) $$1 : \frac{7}{18} = 1 \cdot \frac{18}{7} = \frac{18}{7} = 2\frac{4}{7}$$

4) $$2 : \frac{4}{9} = 2 \cdot \frac{9}{4} = \frac{18}{4} = \frac{9}{2} = 4\frac{1}{2}$$

5) $$\frac{14}{17} : 3 = \frac{14}{17} \cdot \frac{1}{3} = \frac{14}{51}$$

6) $$\frac{9}{11} : 2 = \frac{9}{11} \cdot \frac{1}{2} = \frac{9}{22}$$

7) $$\frac{12}{13} : \frac{9}{26} = \frac{12}{13} \cdot \frac{26}{9} = \frac{4 \cdot 2}{3 \cdot 3} = \frac{8}{3} = 2\frac{2}{3}$$

8) $$\frac{4}{15} : \frac{6}{25} = \frac{4}{15} \cdot \frac{25}{6} = \frac{2 \cdot 5}{3 \cdot 3} = \frac{10}{9} = 1\frac{1}{9}$$

9) $$1\frac{1}{8} : 6\frac{3}{4} = \frac{9}{8} : \frac{27}{4} = \frac{9}{8} \cdot \frac{4}{27} = \frac{1}{6}$$

10) $$2\frac{1}{12} : 2\frac{3}{16} = \frac{25}{12} : \frac{35}{16} = \frac{25}{12} \cdot \frac{16}{35} = \frac{20}{21}$$

11) $$4 : 2\frac{2}{3} = 4 : \frac{8}{3} = 4 \cdot \frac{3}{8} = \frac{3}{2} = 1\frac{1}{2}$$

12) $$3\frac{2}{5} : 4 = \frac{17}{5} : 4 = \frac{17}{5} \cdot \frac{1}{4} = \frac{17}{20}$$

Ответ

1) $$1\frac{1}{9}$$; 2) $$\frac{15}{28}$$; 3) $$2\frac{4}{7}$$; 4) $$4\frac{1}{2}$$; 5) $$\frac{14}{51}$$; 6) $$\frac{9}{22}$$; 7) $$2\frac{2}{3}$$; 8) $$1\frac{1}{9}$$; 9) $$\frac{1}{6}$$; 10) $$\frac{20}{21}$$; 11) $$1\frac{1}{2}$$; 12) $$\frac{17}{20}$$.