Математика: (8 1/6-5/18): 14/27-(10 7/8: 3/4*2/3+5 3/7: 6 1/3)*7 решить

(8 1/6-5/18): 14/27-(10 7/8: 3/42/3+5 3/7: 6 1/3)7 решить

Ответы

morozhenka05 23.05.2020 23:02

$(8\frac{1}{6}-\frac{5}{18}):\frac{14}{27}-(10\frac{7}{8}:\frac{3}{4}\cdot\frac{2}{3}+5\frac{3}{7}:6\frac{1}{3})\cdot7=-205\frac{11}{14}$

1) $8\frac{1}{6}-\frac{5}{18}=\frac{49}{6}-\frac{5}{18}=\frac{147-5}{18}=\frac{142}{18}=\frac{71}{9}=7\frac{8}{9}$

2) $10\frac{7}{8}:\frac{3}{4}=\frac{87}{8}:\frac{3}{4}=\frac{87}{8}\cdot\frac{4}{3}=\frac{29}{2}=14\frac{1}{2}$

3) $14\frac{1}{2}\cdot\frac{2}{3}=\frac{29}{2}\cdot\frac{2}{3}=\frac{29}{3}=9\frac{2}{3}$

4) $5\frac{3}{7}:6\frac{1}{3}=\frac{38}{7}:\frac{19}{3}=\frac{38}{7}\cdot\frac{3}{19}=\frac{2}{7}\cdot\frac{3}{1}=\frac{6}{7}$

5) $9\frac{2}{3}+\frac{6}{7}=\frac{29}{3}+\frac{6}{7}=\frac{203+18}{21}=\frac{221}{7}=31\frac{4}{7}$

6) $7\frac{8}{9}:\frac{14}{27}=\frac{71}{9}:\frac{14}{27}=\frac{71}{9}\cdot\frac{27}{14}=\frac{71}{1}\cdot\frac{3}{14}=\frac{213}{14}=15\frac{3}{14}$

7) $31\frac{4}{7}\cdot7=\frac{221}{7}\cdot7=221$

8) $15\frac{3}{14}-221=\frac{213}{14}-221=\frac{213-3094}{14}=-\frac{2881}{14}=-205\frac{11}{14}$

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PomoshnikYa 23.05.2020 23:02

1)8цел 1/6-5/18=49/6-5/18=147/18-5/18=142/18=71/9

2)71/9:14/27=71/9*27/14=213/14

3)10цел 7/8:3/4=87/8:3/4=87/8*4/3=29/2

4)29/2*2/3=29/3

5)5цел3/7:6цел1/3=38/7:19/3=38/7*3/19=6/7

6)29/3+6/7= 203/21+18/21=221/21

7)221/21*7=221/3

8) 213/14-221/3=639/42-3094/42=-2455/42=-58цел19/42

ответ: -58цел 19/42

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