### Complex Fractions

A

*complex fraction*is a fraction with one or more fractions in the numerator or the denominator (or both).If a complex fraction consists of one fraction divided by another fraction, simplify the complex fraction by dividing the fraction in the numerator by the fraction in the denominator: invert the fraction in the denominator and multiply it by the fraction in the numerator.

If the expression in either the numerator or denominator of the complex fraction consists of a sum or difference of fractions, carry out that sum or difference first and simplify the result. Then simplify the resulting complex fraction using the technique described above.

### Complex Fractions

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Mixed Expression 0:08
- Example
- Complex Fraction 2:45
- Example
- Example
- Example
- Simplifying Complex Fractions 3:58
- Why Does It Work?
- Lecture Example 1 4:48
- Lecture Example 2 8:44
- Additional Example 3
- Additional Example 4

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