0,969696... es un decimal periódico puro.
Fracción generatriz:
[tex]\boxed{0,9696...=\frac{96}{99} =\frac{32}{33} }[/tex]
Operamos:
[tex]\boxed{\frac{a}{11}+ \frac{b}{3}= \frac{32}{33} }\\\\\\\boxed{\frac{3a}{33} +\frac{11b}{33} =\frac{32}{33} }\\\\\\\boxed{3a+11b=32}\\\\\boxed{a=7}\ \boxed{b=1}[/tex]
[tex]\boxed{\boxed{Respuesta:7^{1} =7}}[/tex]
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Verified answer
0,969696... es un decimal periódico puro.
Fracción generatriz:
[tex]\boxed{0,9696...=\frac{96}{99} =\frac{32}{33} }[/tex]
Operamos:
[tex]\boxed{\frac{a}{11}+ \frac{b}{3}= \frac{32}{33} }\\\\\\\boxed{\frac{3a}{33} +\frac{11b}{33} =\frac{32}{33} }\\\\\\\boxed{3a+11b=32}\\\\\boxed{a=7}\ \boxed{b=1}[/tex]
[tex]\boxed{\boxed{Respuesta:7^{1} =7}}[/tex]