Fractions are not irrational numbers. Any fraction can be converted into integer or infinite cyclic decimal, but some fractions are not cyclic decimal because they are too long after being converted into decimal. You can try to convert 83 out of 67 into decimal. Although the period is long, it is also a decimal of the period.

The root number 3 is not a fraction, because it is an irrational number and the fraction is a rational number.