Answer:
YES
Step-by-step explanation:
If the number is rational, I can write it as a fraction in which the numerator and denominator are integers (denominator other than 0).
[tex]3.\underbrace{222222}_{6}=\dfrac{3222222}{1\underbrace{000000}_6}-\bold{RATIONAL}[/tex]
If is repeating:
[tex]x=3.2222....[/tex] multiply both sides by 10
[tex]10x=32.2222...[/tex] make the difference 10x - x
[tex]10x-x=32.2222...-3.2222...[/tex]
[tex]9x=29[/tex] divide both sides by 9
[tex]x=\dfrac{29}{9}-\bold{RATIONAL}[/tex]
