>[!summary] Rational numbers are fractions of two integers. >[!info]+ Read Time ⏱ **1 min** # Definition Rational numbers are numbers that be written as a fraction of two [[Integers|integers]]. Mathematically this looks like $\text{Rational Numbers = $\frac{a}{b} \quad | a,b \in \mathbb{Z}$, $b \neq 0$}$ ## Examples The following are examples of rational numbers - $\frac{1}{2}$ - -3 ($\frac{-3}{1}$) - 0.75 ($\frac{3}{4}$) - 0 ($\frac{0}{1}$) The following are **not** examples of rational numbers - $\sqrt2$ (proof in [[Proof by Contradiction (Indirect Proof)#Examples|proof by contradiction examples]]) - $ln(2)$ --- > ✍️ This project’s been a labour of love. > If it helped, [give Math & Matter a star](https://github.com/rajeevphysics/Obsidan-MathMatter) and let me know what you'd like to see next. ---