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You should check whether you can simplify the answer.
If you multiply the numerator and denominator of a fraction by any non-zero number, you get an equivalent fraction. It does not matter if the original numerator or denominator is (or both are) numbers, variables/letters or algebraic expressions. So x/y = 2x/2y = 7x/7y = 5.5x/5.5y. Hope you get the idea.
Back in ancient Rome, they needed a counting system. I dunno, Romans can be pretty creative when it comes to math. So, vola! They came up with Roman numerals.
Checking your solution in the original equation is always a good idea,simply to determine whether or not you made a mistake.If your solution doesn't make the original equation true, then it's wrong.