0,(3)=[tex] \frac{3}{9}[tex] = [tex] \frac{1}{3} [/tex]
1,(2)=[tex]1 \frac{2}{9} = \frac{11}{9} [/tex]
[tex] \frac{1}{3} - \frac{11}{9}x + 0,25 = 2,5 [/tex] /-0,25
[tex] \frac{1}{3} - \frac{11}{9}x = 2,25[/tex]
[tex] \frac{11}{9}x = \frac{1}{3} [/tex] - 2,25
[tex] \frac{11}{9}x = \frac{1}{3} - \frac{225}{100} [/tex]
[tex] \frac{11}{9}x = \frac{1}{3} - \frac{3}{4} [/tex]
[tex] \frac{11}{9}x = \frac{4}{12} - \frac{27}{12} [/tex]
[tex] \frac{11}{9}x = - \frac{23}{12}[/tex]
x = -[tex] \frac{23}{12} : \frac{9}{4} [/tex] = -[tex] \frac{23}{12} [/tex]·[tex] \frac{4}{9} =- \frac{23}{27} [/tex]
