An irrational number is a number that is not rational. Since all rational numbers can be expressed as a simple fraction, it stands to reason that irrational numbers cannot be expressed as simple fractions.
For more information check out the links below.
http://www.mathsisfun.com/irrational-numbers.html
http://www.mathcaptain.com/number-sense/irrational-numbers.html
http://mrfazio.edublogs.org/2011/11/14/irrational-numbers/
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