# Is pi a rational or irrational number?

Rational numbers can be written in quotient form $\left(\frac{a}{b} , b \ne 0\right)$ where $a \mathmr{and} b$ are integers,
but since the digits in $\pi$ (pi) never end and never recur, there are no numbers to which is can be simplified that would allow for it to be written as a fraction.