Răspuns:
Explicație pas cu pas:
[tex]a)~\frac{1515}{3636}=\frac{15*100+15}{36*100+36}=\frac{15*(100+1) }{36*(100+1)}=\frac{15*101}{36*101}=\frac{15}{36} =\frac{5}{12}.\\ b)~\frac{abab}{1717}=\frac{ab*100+ab}{17*100+17} =\frac{ab*101}{17*101}=\frac{ab}{17} \\c)~\frac{abcabx}{112112}=\frac{abc*1000+abc}{112*1000+112} =\frac{abc*1001}{112*1001}=\frac{abc}{112}\\d)~\frac{ab+ba}{33}=\frac{10a+b+10b+a}{33}=\frac{11a+11b}{33} =\frac{11(a+b)}{11*3} =\frac{a+b}{3}\\e)~\frac{2a+a6}{18}=\frac{20+a+10a+6}{18}=\frac{26+11a}{18} \\[/tex]
[tex]f)~\frac{abc+bca+cab}{bac+acb+cba}=\frac{100a+10b+c+100b+10c+a+100c+10a+b}{100b+10a+c+100a+10c+b+100c+10b+a}=\frac{111a+111b+111c}{111a+111b+111c} =\frac{111*(a+b+c)}{111*(a+b+c)}=1.[/tex]
