What is a rational approximation?

A rational approximation is a way of representing a real number as a fraction of two integers, typically in the form ( \frac{p}{q} ), where ( p ) and ( q ) are integers and ( q ) is not zero. This method is often used to estimate Irrational Numbers or real numbers that cannot be expressed exactly as fractions. Rational approximations are valuable in various fields, including mathematics and engineering, as they allow for simpler calculations while providing a close estimation of the desired value.