Question 332708:  How can you tell if a number, or fraction is irrational, whole, integer, rational, or natural?  
 Answer by Jk22(389)      (Show Source): 
You can  put this solution on YOUR website! A fraction a/b, a b integers, is integer if a is an integer multiple of b. 
Else it's rational, 
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however, a fraction cannot be irrational. For example there are not fraction m/n=sqrt(2). 
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There remain 2 common classes of number : 
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A number w is algebraic if it's solution of a polynomial equation (sqrt(2) is algebraic) 
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else it's transcendental. (for example Pi is transcendental but not algebraic). 
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