Dr. Eaton covers Complex Fractions and begins with mixed expressions and an analogy to mixed fractions. You will then learn how to convert mixed expressions to rational expressions. After, you will cover complex fractions as well as how to simplify these complex fractions. Four extra video examples end this lecture.
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.
Write as a rational expression: 4e2 − 3 − [(e + 1)/(e + 5)]
*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.
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.