Verified answer

1/3 : [(-(-3/5 - 0,425 + 1/200) : 0,01) / (-(-30,75 - 1/12 - 3 1/6)] : 2/3 =

1) -3/5 - 0,425 = -0,6 - 0,425 = -1,025

2) -1,025 + 1/200 = -1,025 + 0,005 = -1,02

3) -(-1,02) : 0,01 = 1,02 : 0,01 = 102

4) -30,75 - 1/12 = -30 3/4 - 1/12 = -30 9/12 - 1/12 = -30 10/12 = -30 5/6

5) -30 5/6 - 3 1/6 = -33 6/6 = -34

6) 102 : (-(-34)) = 102 : 34 = 3

7) 1/3 : 3 = 1/3 · 1/3 = 1/9

8) 1/9 : 2/3 = 1/9 · 3/2 = 3/18 = 1/6

Ответ: 1/6.

Пошаговое объяснение:

-3/5-0,425= - 0, 6-0,425= - 1,025

-1,025+1/200= - 1,025+0,005= - 1,02

-(-1,02) :0,01=1,02:0,01=102

-30,75-1/12= - 30 3/4-1/12= - 123/4-1/12=

= (-369-1)/12= - 370/12= - 185/6

-185/6-3 1/6= - 185/6-19/6= (-185-19)/6=

= -204/6= - 34

102:(-(-34))=102:34=3

1/3:3=1/3×1/3=1/9

1/9:2/3=1/9×3/2=1/6