Resposta:
Explicação passo-a-passo:
a) [tex]\frac{8}{3}[/tex]
Cálculo
[tex]26,666... = 10x\\2,666...=x\\\\26,666...-2,666...=10x-x\\\\9x=24\\\\x=\frac{24}{9} =\frac{8}{3}[/tex]
b) [tex]\frac{4}{33}[/tex]
Cálculo
[tex]12,1212...=100x\\0,1212...=x\\\\12,1212...-0,1212...=100x-x\\\\12=99x\\\\x=\frac{12}{99} =\frac{4}{33}[/tex]
c) [tex]\frac{527}{99}[/tex]
Cálculo
[tex]532,3232...=100x\\5,3232...=x\\\\532,3232...-5,3232...=100x-x\\\\527=99x\\\\x=\frac{527}{99}[/tex]
d) [tex]\frac{14}{45}[/tex]
Cálculo
[tex]3,111...=10x\\31,111...=100x\\\\31,111...-3,111...=100x-10x\\\\28=90x\\\\x=\frac{28}{90} =\frac{14}{45}[/tex]
