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Why 1/0 is undefined...?

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Explanation

I will try to expain here in a simple way. 1/0 is read as one divided by zero and division is always defined in terms of multiplication. Now keep in mind division and multiplication properties and read following...

Take
     a    
    --- = x 
     b

OR  b × x = a  

Let b is 0 and a is 1.

    0 × x = 1  

What will be the value of x if b is 0 and a is 1.

i.e.    
    x = ? when 0 × x = 1  

There is no value of x such that 0 × x = 1, because 0 × x always result 0 for all x. In other word x times zero always result 0 or anything times zero always result o and never be equal to 1.

    x = not exist when 0 × x = 1  

Its mean 1/0 is not exist, or is not defined, or is undefined. Similarly any non-zero number divided by 0 is undefined.

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             1/3      -2/3      
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          -------------- = ?
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  • Solve
                 _____________________
                /      _____________  
               /     /        ____
              /     /        /  2  
             /  4  /  4  .  / 4  
            /    \/       \/
           /  --------------------
          /            3
        \/            2    
    
        
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