Задача 68815 4 8/9+6 7/8:(5 11/12-3 5/6)*1 2/3=?...

63d8f617559dd9424a1cc37f

31.01.2023 14:20:23

4 8/9+6 7/8:(5 11/12-3 5/6)*1 2/3=?

5f3ea7e3faf909182968ddd9

31.01.2023 14:24:00

★

[m]4 \frac{8}{9}+6\frac{7}{8}:(5\frac{11}{12}–3\frac{ 5}{6})\cdot 1\frac{ 2}{3}=[/m]

1)
[m]5\frac{11}{12}–3\frac{ 5}{6}=5\frac{11}{12}–3\frac{ 10}{12}=2\frac{1}{12}[/m]

2)
[m]6\frac{7}{8}:(5\frac{11}{12}–3\frac{ 5}{6})=6\frac{7}{8}:2\frac{1}{12}=\frac{6\cdot 8+7}{8}:\frac{2\cdot 12+1}{12}=\frac{55}{8}:\frac{25}{12}=\frac{55}{8}\cdot\frac{12}{25}=\frac{11\cdot 3}{2\cdot 5}=\frac{33}{10}[/m]

3)
[m]\frac{33}{10}\cdot 1\frac{ 2}{3}=\frac{33}{10}\cdot\frac{5}{3}=\frac{11}{2}[/m]

4)
[m]4 \frac{8}{9}+\frac{11}{2}=\frac{44}{9}+\frac{11}{2}=\frac{44\cdot 2+11\cdot 9}{18}=\frac{187}{18}=10\frac{7}{18}[/m]