Adding and Subtracting Rational expressions

Not every problem you have will be easy. When you have two different views to something it might it a little hard to solve. This is what happens when you have Ration expressions with different denominators. Simply there’s only one way to add or subtract them with out any complication and that’s find the LCD so the answer can already be in simplest form.

Steps To Solve Rational Expressions with Different Denominators;
1) First you look at the problem and figure out what’s the LCD (least common denominator)

2/3 + 4x/6x -> since the dominator are factors of 3 and have x in common the must have a LCD

2)Since the second expression has a x you know that the LCD is going to have a x in it and also the first denominator has a 3 and 3x2 is 6 so the LCD should be 2x but you only multiply the first expression because you are trying to have the two denominators equal the same.
2(2x)/3(2x) +4x/6x= 4x/6x+4x/6x

3) Now that you have everything with the same value you can add without any problem.

4x/6x+4x/6x=8x/6x
(Since its 8 x / 6xyou can simplify it so it can give you a reduced answer)

8x/6x -> 1 2x/6x -> 1 1x/3x would be your answer.

Solving rational expressions with different denominators can be a lot of work. You may not always get an easy answer. Some equations may also be complicated for you. There’s always a way to solve some even if the outcome isn’t pretty. The usual method to use is to find the LCD which is used a lot to make your equation easier to solve.Thseseexamples may show you a couple of things you may look out for.