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Published byPaula Lydia Newman Modified over 8 years ago
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Joyce DuVall Green Valley High School Henderson, Nevada
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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.
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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.
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Multiply each fraction by the lowest common denominator. 2 3 3x 5 x 3x 7 x 3x
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Simplify
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15 221x Subtract 15 from each side of the equation.. 26x
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Divide each side of the equation by 2. 2 2 6 2 3 x x Simplify.
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SOLUTION
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Multiply by the lowest common denominator. 15 1 5 4 3 8 mm m m m Divide out common factors. Simplify Solve
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Multiply by the lowest common denominator Divide out common factors. Simplify
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Solve
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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.
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