The work to get an answer to a fraction involving variables is as follows:

1. First, put aside the numbers(constants) and see if they can be simplified at all. Then simplify them as much as you can.
2. Second, after you take care of the numbers, what you have left is what I consider to be the constant part of the resultant because it does not involve variables and can just be multiplied to the variable part of the resultant/solution for the final resultant.
3. Next, it is time to handle the variable part. The steps for that would be:
   1. First, make a list or a mental note of which different variables there are in the problem and which ones appear once or more than once.
   2. Next, if there are variables that only appear once then they can be considered part of the variable part of the resultant and they should be kept at their original half of the fraction(the numerator or the denominator), unless they have a negative exponent.
   3. Now it is time to simplify all of the variable that appear more than once, appearing on both the numerator (top) and denominator (bottom) of the fraction.
   4. One variable at a time, take the exponent of the top variable and subtract from it the exponent of the same variable on the bottom of the fraction. The result of that will go on the top of the fraction. However, if you know that it will be a negative exponent, then you can try something else.
   5. Normally you would subtract the bottom variable's exponent from the top variable's exponent. The result of that would be on the top of the fraction. But what if we were to switch that, and instead subtract the top variable's exponent from the bottom variable's exponent? The result should then go to the denominator, which it would. Which means if you were trying to do (Z^3)/(Z^7), it would be easier to do it this other way where you subtract the top exponent from the bottom exponent and the result would go to the denominator, and have a positive exponent instead of a negative exponent, which it would have had if we did it the normal way.
   6. After doing such for each variable, check to see if any of the variables have negative exponents, and if they do make sure to manipulate them so they are no longer negative. However if you use that trick it is no longer a concern, but if you think that the trick is a bit confusing or you don't want to use the trick and would rather change negative exponents back then refer to the negative exponents section to find out how.
   7. The final part is to totally combine the different parts of the variable part of the result together. All you pretty much do is combine all of the parts that belong on the numerator together, and all of the parts that belong in the denominator together, and then put each part in their respective place. Now you have the variable part of the resultant!
4. Now it is time to put together the two different parts, the variable and constant parts of the resultant. To do so, it is as easy as multiplying the variable part by the constant part. Usually you would list the constants first in the numerator and denominator, such as 3X²Y, instead of X²3Y.
5. Now you should have the simplified form of the original fraction, Hooray!