Question

1. calculați: 3,(6) - (0,(3)+0,1(6) ) - (2,75 - 2,(3) ) =

Answer 1

3,(6) = (36-3)/9 = 33/9 = 11/3 0,(3) = 3/9 = 1/3 0,1(6) = (16-1)/90 = 15/90 = 1/6 2,75 = 275/100 = 11/4 2,(3) = (23-2)/9 = 21/9 = 7/3 _____________________ 11/3 - (1/3 + 1/6) - (11/4 - 7/3) = = 11/3 - [(2+1)/6] - [(33-28)/12] = = 11/3 - 3/6 - 5/12 = = (44-6-5)/12 = = 33/12 = = 11/4