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Rezolvati ecuatia [[tex] \frac{1,(3)}{2} - 2 \frac{1}{4} ] : 0,6= \frac{x}{9} [/tex] , unde x apartine Q+

Răspuns :

1,(3)=(13-1)/9=12/9=4/3
2intreg 1/4=(2·4+1)/4=9/4
0,6=6/10=3/5
=[4/3:2/1-9/4]:3/5=x/9
=[4/3·1/2-9/4]·5/3=x/9
(2/3-9/4)·5/3=x/9
[(8-27)/12]·5/3=x/9
(-19/12)·5/3=x/9
-95/36=x/9
-95·9=36x
-36x=475                       ·(-1)
x=-475/36
x=-13,19(4)