Question

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

Answer 1

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

Answer 2

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