Вопрос:

1. Вычислите : 1) 16$$\frac{1}{3}$$:5$$\frac{5}{6}$$ 2) 2$$\frac{2}{3}$$:2$$\frac{2}{7}$$ 3) 4$$\frac{4}{9}$$\cdot$$\frac{5}{27}$$ 4) 2$$\frac{13}{16}$$:4$$\frac{3}{8}$$ 5) 3$$\frac{1}{3}$$:4$$\frac{3}{8}$$ 6) 3$$\frac{6}{7}$$\cdot$$\frac{9}{28}$$

Смотреть решения всех заданий с листа

Ответ:

1) 16$$\frac{1}{3}$$:5$$\frac{5}{6}$$ = $$\frac{49}{3}$$ : $$\frac{35}{6}$$ = $$\frac{49}{3}$$\cdot$$\frac{6}{35}$$ = $$\frac{49 \cdot 6}{3 \cdot 35}$$ = $$\frac{7 \cdot 2}{1 \cdot 5}$$ = $$\frac{14}{5}$$ = 2$$\frac{4}{5}$$

2) 2$$\frac{2}{3}$$:2$$\frac{2}{7}$$ = $$\frac{8}{3}$$ : $$\frac{16}{7}$$ = $$\frac{8}{3}$$\cdot$$\frac{7}{16}$$ = $$\frac{8 \cdot 7}{3 \cdot 16}$$ = $$\frac{1 \cdot 7}{3 \cdot 2}$$ = $$\frac{7}{6}$$ = 1$$\frac{1}{6}$$

3) 4$$\frac{4}{9}$$\cdot$$\frac{5}{27}$$ = $$\frac{40}{9}$$\cdot$$\frac{5}{27}$$ = $$\frac{40 \cdot 5}{9 \cdot 27}$$ = $$\frac{200}{243}$$

4) 2$$\frac{13}{16}$$:4$$\frac{3}{8}$$ = $$\frac{45}{16}$$ : $$\frac{35}{8}$$ = $$\frac{45}{16}$$\cdot$$\frac{8}{35}$$ = $$\frac{45 \cdot 8}{16 \cdot 35}$$ = $$\frac{9 \cdot 1}{2 \cdot 7}$$ = $$\frac{9}{14}$$

5) 3$$\frac{1}{3}$$:4$$\frac{3}{8}$$ = $$\frac{10}{3}$$ : $$\frac{35}{8}$$ = $$\frac{10}{3}$$\cdot$$\frac{8}{35}$$ = $$\frac{10 \cdot 8}{3 \cdot 35}$$ = $$\frac{2 \cdot 8}{3 \cdot 7}$$ = $$\frac{16}{21}$$

6) 3$$\frac{6}{7}$$\cdot$$\frac{9}{28}$$ = $$\frac{27}{7}$$\cdot$$\frac{9}{28}$$ = $$\frac{27 \cdot 9}{7 \cdot 28}$$ = $$\frac{243}{196}$$ = 1$$\frac{47}{196}$$

Ответ: 1) 2$$\frac{4}{5}$$; 2) 1$$\frac{1}{6}$$; 3) $$\frac{200}{243}$$; 4) $$\frac{9}{14}$$; 5) $$\frac{16}{21}$$; 6) 1$$\frac{47}{196}$$

ГДЗ по фото 📸
Подать жалобу Правообладателю

Похожие