SOLUTION: after I have my equation (monomial) in a fraction then what do I do?

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Question 938560: after I have my equation (monomial) in a fraction then what do I do?
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
If there is only one term (monomial) in the numerator and denominator, then common factors may be reduced directly.
Example:


Remember:
There will always be a larger number (coefficient) "leftover" where there was a larger number "to begin with".

Similarly, there will be variables "leftover" where there were "more" (larger exponents) to begin with.

The "leftover" variables are determined by subtracting their exponents.
If there is more than one term in either the numerator or denominator (or both), you may need to factor. Factoring will often allow for reducing, since factoring produces products and reducing can only occur when multiplication "connects" parts. You can never reduce part of a sum or part of a difference.
You cannot reduce part of a sum or part of a difference.

example:
This fraction can NOT be reduced. The in the numerator is "part of a sum" and can not be reduced by itself.
but, if you have ,fraction can be reduced because of the multiplication in the numerator connecting the to the . The first in the numerator is NOT "part of a sum".
so, you can cancel in numerator and denominator and fraction reduce to
and if you have to reduce binomials in numerator and denominator, then factor them first:
example:

.....now you can reduce




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