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Is 3.222222 a rational number

1 Answer

5 votes

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}

If is repeating:


x=3.2222.... multiply both sides by 10


10x=32.2222... make the difference 10x - x


10x-x=32.2222...-3.2222...


9x=29 divide both sides by 9


x=(29)/(9)-\bold{RATIONAL}

User Hugo Der Hungrige
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