Joyce DuVall Green Valley High School Henderson, Nevada.

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Presentation transcript:

Joyce DuVall Green Valley High School Henderson, Nevada

Objective and Vocabulary  The objective is to be able to solve rational equations.  Lowest Common Denominator (LCD) – The smallest denominator which has all of the original denominators as factors.

Step 1 – Find the lowest common denominator for the fractions. The lowest common multiple of 3 and x is 3x. Therefore, the LCD is 3x.

Multiply each fraction by the lowest common denominator x 5 x 3x 7 x    3x 

Simplify

15    221x Subtract 15 from each side of the equation.. 26x 

Divide each side of the equation by x x   Simplify.

SOLUTION

Multiply by the lowest common denominator mm m m m  Divide out common factors. Simplify Solve

Multiply by the lowest common denominator Divide out common factors. Simplify

Solve

The previous example had two or more fractions on one side of the equation. When there is a single fraction on each side of the equation, the equation can be solved as a proportion by cross-multiplying.