We’ve moved on to the next phase of the rational expressions unit: Complex Fractions. Don’t be intimidated by their name! These are expressions that involve “nested fractions,” meaning the numerator and denominator of the expression are both fractions (or a sum/difference of fractions) themselves.

Remember the basic process for simplifying these beastly expressions:

- Combine fractions in the numerator (finding a lowest common denominator and so on) so you have one single rational expression
- Combine fractions in the denominator (LCD, etc.)
**Keep**the top fraction,**flip**the bottom fraction, and**change**the operation to multiplication (KFC)- Simplify.

There are several videos online you could watch with more examples. I recommend this one and its follow-up here. The video posted here is also good. If you want more, search for “Simplifying Complex Fractions”

**Today’s Files**

- Notes
- HW 2.11 – Simplifying Complex Fractions
- Video archive (some of these links include links to additional examples)
- Simplifying (links to additional examples listed)
- Multiplying and Dividing (links to additional examples listed)
- Adding and Subtracting (monomial bases)
- Adding and Subtracting (polynomial bases)