Simplifying Complex Fractions

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Simplify the complex fraction, where the top half is the fraction with numerator 3a squared and denominator 2b. And the bottom half is the fraction with numerator 15a b and denominator 4b cubed
Simplify the complex fraction, where the top half is the fraction with numerator 14x squared y to the fifth and denominator 15z cubed. And the bottom half is the fraction with numerator 2x squared and denominator 25y z
Simplify the complex fraction, where the top half is 1 over x minus 1 over y. And the bottom half is y over x minus x over y
Simplify the complex fraction, where the top half is 2x, minus 2 over x. And the bottom half is 4, plus 4 over x
Simplify the complex fraction, where the top half is the fraction with numerator 1 and denominator x minus 1, minus the fraction with numerator 1 and denominator x + 1. And the bottom half is the fraction with numerator 1 and denominator x squared minus 1
Simplify the complex fraction, where the top half is m minus 9m to the negative first, and the denominator is 1 minus 3m to the negative first