Упр.583 Часть 2 ГДЗ Виленкин Жохов 6 класс (Математика)

1) (3,5 + 2 1/3) : (3,5 — 2 1/3);
2) (5,6 — 3 1/3) : (1,5 + 1 1/3);
3) (16 — 8 1/3) : (-2 5/9);
4) (15 — 9 2/3) : (-3 5/9).

1) $$\left(3{,}5+2\frac{1}{3}\right):\left(3{,}5-2\frac{1}{3}\right)$$

$$3{,}5=3\frac{1}{2},\quad 3\frac{1}{2}=3\frac{3}{6},\quad 2\frac{1}{3}=2\frac{2}{6}$$

$$\left(3\frac{3}{6}+2\frac{2}{6}\right):\left(3\frac{3}{6}-2\frac{2}{6}\right)=5\frac{5}{6}:1\frac{1}{6}$$

$$5\frac{5}{6}=\frac{35}{6},\quad 1\frac{1}{6}=\frac{7}{6}$$

$$\frac{35}{6}:\frac{7}{6}=\frac{35}{6}\cdot\frac{6}{7}=5$$

2) $$\left(5{,}6-3\frac{1}{3}\right):\left(1{,}5+1\frac{1}{3}\right)$$

$$5{,}6=5\frac{3}{5},\quad 1{,}5=1\frac{1}{2}$$

$$\left(5\frac{9}{15}-3\frac{5}{15}\right):\left(1\frac{1}{2}+1\frac{1}{3}\right)=2\frac{4}{15}:2\frac{5}{6}$$

$$2\frac{4}{15}=\frac{34}{15},\quad 2\frac{5}{6}=\frac{17}{6}$$

$$\frac{34}{15}:\frac{17}{6}=\frac{34}{15}\cdot\frac{6}{17}=\frac{2}{5}\cdot\frac{6}{1}=\frac{4}{5}=0{,}8$$

3) $$\left(16-8\frac{1}{3}\right):\left(-2\frac{5}{9}\right)$$

$$16=15\frac{3}{3},\quad 8\frac{1}{3}=8\frac{1}{3},\quad -2\frac{5}{9}=-\frac{23}{9}$$

$$16-8\frac{1}{3}=15\frac{3}{3}-8\frac{1}{3}=7\frac{2}{3}=\frac{23}{3}$$

$$\frac{23}{3}:\left(-\frac{23}{9}\right)=\frac{23}{3}\cdot\frac{9}{-23}=-3$$

4) $$\left(15-9\frac{2}{3}\right):\left(-3\frac{5}{9}\right)$$

$$15-9\frac{2}{3}=14\frac{3}{3}-9\frac{2}{3}=5\frac{1}{3}=\frac{16}{3}$$

$$-3\frac{5}{9}=-\frac{32}{9}$$

$$\frac{16}{3}:\left(-\frac{32}{9}\right)=\frac{16}{3}\cdot\frac{9}{-32}=-\frac{3}{2}=-1{,}5$$

Ответ

1) $$5$$; 2) $$0{,}8$$; 3) $$-3$$; 4) $$-1{,}5$$.