1)
44/9-11/6 = (2*44-3*11)/18 = 55/18
2/3 +5/9 = (3*2+1*5)/9 = 11/9
7/6+2,5 = 7/6+5 /2 = (1*7+3*5)/6 = 22/6 = 11/3
3,8-7/3 = 38/10-7/3 =19/5-7/3= (3*19-5*7)/15 = 22/15
0,75+5/6-3/8 = 75/100+5/6-3/8 = 3/4+5/6-3/8 = (6*3+4*5-3*3)/24 = 29/24
41/8-3/2 = (1*41-4*3)/8 = 29/8
((55/18):(11/9):(11/3):(22/15)*(29/24):(29/8))+2/3
2)
(55/18):(11/9) = (55/18)*(9/11) = (55*9)/(18*11) = (5*1)/(2*1) = 5/2
((5/2):(11/3):(22/15)*(29/24):(29/8))+2/3
3)
(5/2):(11/3) = (5/2)*(11/3) = (5*11)/(2*3) = 55/6
(55/6):(22/15)*(29/24):(29/8))+2/3
4)
(55/6):(22/15) = (55/6)*(15/22) = (55*15)*(6*22) =(55*5)*(2*22) = 275/44
((275/44)*(29/24):(29/8))+2/3
5)
(275/44)*(29/24) = (275*29)/(44*24)
((275*29)/(44*24)):(29/8)+2/3
6)
((275*29)/(44*24)):(29/8)=((275*29)/(44*24))*(8/29)=(275*29*8)/(44*24*29) = 275/3*44
275/(3*44)+2/3 = (275+44*2)/(3*44) = 363/132 = (11*33)/(33*4) = 11/4 = 2,75
Ответ: 2,75