Answer:
YES
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).
![3.\underbrace{222222}_(6)=\frac{3222222}{1\underbrace{000000}_6}-\bold{RATIONAL}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z9crp5u9n0qq3ogpvo5pfsulaumpp262uf.png)
If is repeating:
multiply both sides by 10
make the difference 10x - x
![10x-x=32.2222...-3.2222...](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t17gsqvtagv5048oplybxeh1iwj7g1j692.png)
divide both sides by 9
![x=(29)/(9)-\bold{RATIONAL}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pv8vn3y6rwwfaz0c4xcnzyfczwhnhnb71x.png)