(-5 3/4)*8+(-2 1/3)*(-1 3/14)-1 37/48*(-2 2/15)
1) -5 3/4 *8= -5 3/4 * 8/1= -5*4+3/4 * 8/1=-23/4 * 8/1= -184/4=-46
2) -2 1/3 * (-1 3/14)= -2*3+1/3 * (-1*14+3/14)= -7/3 * (-17/14)= 119/42
=17*7/6*7= 17/6= 2 5/6
3) 1 37/48 * (-2 2/15)= 1*48+37/48 * (-2*15+2/15)= 85/48 * (-32/15)= -85*32/48*15= -2720/720= -34*80/9*80= -34/9= -3 7/9
4) -46+2 5/6= -46/1+2 5/6= -46/1 + 2*6+5/6= -46/1 + 17/6= -6*46/6*1 + 1*17/1*6= -276/6 + 17/6= -259/6= -43 1/6
5) -43 1/6 - (-3 7/9)= -43 1/6 + 3 7/9= -43*6+1/6 + 3*9+7/9= -259/6 + 34/9= -3*259/3*6 + 2*34/2*9= -777/18 + 68/18= -709/18= - 39 7/18
(6,75+(-4,5)*1 2/3)*(-1 1/3)
-4,5 это -4 1/2
1) -4 1/2 * 1 2/3= -4*2+1/2 * 1*3+2/3= -9/2 * 5/3= -45/6= -15*3/2*3= -15/2= -7 1/2
6,75 это 6 3/4
2)6 3/4 + (-7 1/2)= 6 3/4 - 7 1/2=6*4+3/4 - 7*2+1/2= 27/4 - 15/2= 1*27/1*4 - 2*15/2*2= 27/4 - 30/4= -3/4
(-1 1/3) в 3 степени это -2 10/27
3) -3/4 * (-2 10/27)= -3/4 * (-2*27+10/27)= -3/4 * (-64/27)= 3*64/4*27= 192/108= 16*12/9*12= 16/19= 1 7/9