**Q: Condense: 3/2x + x/(2x-6)**

Answer:

In order to add fractions, we need to have common denominators. Remember, in order to get common denominators, we need to multiply by something.. Just because one denominator is 2x – 6 and the other is 2x, we cannot just subtract 6 to make them match.

So, the fraction on the left needs a (2x-6) and the fraction on the right needs a (2x)… So, you have to multiply the fraction on the left by (2x-6) and the fraction on the right needs to be multiplied by (2x). Remember: multiply to the top and the bottom like so:

3/2x + x/(2x-6)

3(**2x-6)**/2x**(2x-6)** + x(2x)/(2x-6)(2x)

Now, simplify each numerator, leave the denominators alone:

Continue reading Combining Fraction (involving variables)

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