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10.5 Complex Fractions

- Complex fractions have fractions in the

numerator, denominator, or both. - When working with complex fractions, treat the

numerator as one problem and the denominator as

another problem. - Simplify the numerator and denominator separately

so there is one fraction in the numerator and one

in the denominator. - Then use the division of fractions property to

simplify. - Invert the fraction in the denominator, and

multiply it by the fraction in the numerator. - If the problem is an equation, (it has an equal

sign), cross multiply to solve for the variable.

Example 1

Example 2 Complex Expression

Example 2 Solution

Example 3 Complex Equation

Example 3 Solution

Graph

- Graphs are only related to equations.
- Examples 1 and 2 were expressions because they do

not have an equal sign. - Therefore, you can only simplify and cannot solve

for x. - Example 3 has an equal sign, therefore you can

solve for x. - Equation 3 is linear and will graph a line.

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