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in this lesson were going to add and subtract rational expressions with unlike denominators so lets start with this example 5 over x plus 3 divided by x squared now before we can combine the two fractions we need to get common denominators so we need to multiply the first fraction on the left by x over x so that the denominators will both be x squared so this is 5x over x squared plus 3 divided by x squared so now we can write this as a single fraction 5x plus 3 over x squared so thats going to be the answer lets try another example x minus 3 divided by 4 minus x plus 2 divided by 3. so we need to get common denominators the least common multiple of four and three is twelve if youre not sure just multiply four and three any multiple of four three will work you may have to simplify it later but it can help you get the right answer lets multiply the first fraction by three and the second one by four now lets distribute three to x minus three so its going to be three x minus nine