Is 22/7 is rational or irrational - Maths - Number Systems

Question

Is 22/7 is rational or irrational????

Shridhar Kaushik · Accepted Answer

Those numbers which can be written in the form $\frac{p}{q}, q \neq 0$ are called Rational Numbers.

Since $\frac{22}{7}$ is of the form $\frac{p}{q}, q \neq 0$ , that's why it is a rational number. Also the decimal

representation of $\frac{22}{7}$ is non-terminating but repeating (because after decimal the number

142857 will repeat every time). So, $\frac{22}{7}$ is a rational number.

But $π$ is not rational because because $π$ is not exactly equal to $\frac{22}{7}$ . So, $π$ is irrational.