Topics:
In case you prefer to view videos on any of these topics, Here is a copy of the Course Outline with links to video resources for each topic.
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• Finding LCMs by factoring denominators – Note that I will always refer to these as the LCM (lowest common multiple) rather than the LCD (lowest common denominator), because we do not always use them as a denominator. For example, in the second method of simplifying complex fractions, we will use the LCM to get rid of denominators, and we do this also in solving equations that have rational expressions in them. See this post.
• Addition and subtraction of rational expressions.
To add or subtract rational expressions, they must have the same denominators. If necessary, we change to a common denominator (the LCM of the denominators).
• Complex Fractions Method I
In this method, we simplify a complex fraction as follows:
First simplify the numerator and the denominator separately (if necessary)
Then turn the division into multiplying by the reciprocal of the denominator.
Note: method II next time.