Question

(2/5-6,6):(-1 1/4-1 1/3)

Answer 1

(2/5 - 6,6) : (-1 1/4 - 1 1/3) = 2,4

1) 2/5 - 6,6 = 0,4 - 6,6 = -6,2 = -31/5
2) -1 1/4 - 1 1/3 = -(1 3/12 + 1 4/12) = -2 7/12 = -31/12
3) -31/5 : (-31/12) = 31/5 * 12/31 = 12/5 = 2 2/5 = 2,4

Пояснения:
1/4 = (1*3)/(4*3) = 3/12 - доп.множ.3
1/3 = (1*4)/(3*4) = 4/12 - доп.множ.4
6,2 = 6 1/5 = (6*5+1)/5 = 31/5
2 7/12 = (2*12+7)/12 = 31/12
2/5 = 4/10 = 0,4 - в десятичных дробях