Răspuns:
Explicație pas cu pas:
0,1(6)+[tex]\frac{3}{8}[/tex]=[tex]\frac{16-1}{90}+\frac{3}{8}=\frac{15}{90}+\frac{3}{8}=\frac{3*5}{3*3*5*2}+\frac{3}{8}=\frac{1}{6}+\frac{3}{8}=\frac{4}{24}+\frac{9}{24}=\frac{13}{24}[/tex]
[tex]\frac{2}{3}* \frac{13}{24}=\frac{13}{36}[/tex][tex]\frac{75}{100}*(x-1,7(2))=\frac{1}{4}*(x-1\frac{72-7}{90})=\frac{1}{4}*(x-1\frac{65}{90})=\frac{1}{4}*(x-1\frac{13}{18})=\frac{1}{4}*(x-\frac{1*90+65}{90})=\frac{1}{4}*(x-\frac{155}{90})=\frac{1}{4}*(x-\frac{31}{18})[/tex]
[tex]\frac{1}{4}*(x-\frac{31}{18})=\frac{13}{36}[/tex]
[tex]x-\frac{31}{18}=4*\frac{13}{36}=>x-\frac{31}{18}=\frac{13}{9}[/tex]
[tex]x=\frac{13}{9}+\frac{31}{18}=\frac{26}{18}+\frac{31}{18}=\frac{57}{18}=\frac{19}{6}=3,1(6)[/tex]
