8.1: Rational numbers
- Page ID
- 7619
This page is a draft and is under active development.
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Definition: Rational
A real number \(x\) is called a rational number if \(x=\frac{m}{n}\) for some \(m,n \in \mathbb{Z}, n\ne 0\).
Example \(\PageIndex{1}\):
Write \(2. \overline{13}\) as a fraction.
Solution
Let \( x= 2. \overline{13}\). Then \(100x= 213. \overline{13}\). Therefore \(99 x= 211\). which implies \(x=\dfrac{211}{9}\).