Question

(075-5/6):7/8-2/3×0.5=

Answer 1

(0,75 - 5/6) : 7/8 - 2/3 * 0,5 = - 3/7

1) 0,75 - 5/6 = 3/4 - 5/6 = 9/12 - 10/12 = - 1/12
2) - 1/12 : 7/8 = - 1/12 * 8/7 = - (1*2)/(3*7) = - 2/21
3) 2/3 * 0,5 = 2/3 * 1/2 = 1/3
4) - 2/21 - 1/3 = - 2/21 - 7/21 = - 9/21 = - 3/7

Пояснения:
0,75 = 75/100 = 3/4 - сократили на  25
3/4 = 9/12 - доп.множ. 3
5/6 = 10/12 - доп.множ. 2
0,5 = 5/10 = 1/2 - сократили на 5
1/3 = 7/21 - доп.множ. 7
9/21 = 3/7 - сократили на 3