Avoiding dividing by 0 in an equation

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To avoid dividing by zero in an equation, the division must be eliminated entirely, transforming a/b = c into a = bc. This modification ensures that the denominator, b, does not equal zero, which is essential for the division to be defined. The discussion highlights that the potential for b to be zero is a critical detail often overlooked. Additionally, while limits can allow for a/b to approach a real number as both a and b approach zero, this requires specific context. Ultimately, ensuring b is never zero is key to maintaining the integrity of the equation.
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What was the method for modifying an equation to avoid dividing by zero?
I think it involved adding 1 somewhere, then removing the error that creates later.


For example,

a / b = c

It is possible that one of the values placed in the b variable could be 0. How would the equation be modified so that dividing by zero wouldn't occur?
 
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If b is a variable that could be zero, then a/b=c doesn't even make sense in the first place.

What is the context of this?
 
Its a commonly left out detail, sometimes considered obvious, sometimes completely forgotten. When you have a fraction a/b, b can not equal zero. Its a restriction placed on b in order for the division to be defined.
 
The only way to "modify" the equation a/b= c so that you can avoid dividing by 0 is to remove the division entirely: a= bc.
 
Of course there's the possibility that in the limit a->0 and b->0 ; a/b equals a real number and the eqn. makes sense. Hard to tell without context.
 
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