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3.6 Clearing an Equation of Fractions

3.6 Clearing an Equation of Fractions . Goal: To solve an equation with fractions we can use the “trick” of clearing the fractions. World’s Easiest Problem. World’s Greatest Trick. Anytime you see fractions in the equation multiply every term of your equation by the LCD. Recap on LCD.

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3.6 Clearing an Equation of Fractions

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  1. 3.6 Clearing an Equation of Fractions • Goal: To solve an equation with fractions we can use the “trick” of clearing the fractions.

  2. World’s Easiest Problem

  3. World’s Greatest Trick • Anytime you see fractions in the equation multiply every term of your equation by the LCD.

  4. Recap on LCD • LCD : Least Common Denominator • How do you find it? Take all the denominators and take the Least Common Multiple • Least Common Multiple is the number that all the numbers could be multiplied by another number to get.

  5. STEPS: • Multiply both sides of the equation by the LCD to clear the fractions • Simplify by cross canceling • Distribute. • Collect like terms on same side. • Move variables to same side of equation with the APE • Move the numbers (constants) to the other side of the equation with the APE • Use the MPE to solve for the variable

  6. What number are we going to multiply by? (LCD)

  7. By what number would you multiply to clear the fraction? LCD = 4

  8. X=4

  9. What is the LCD?

  10. 6 15 10 1 1 1 Write the equivalent equation

  11. 10g +12 =45 -60g - Add 60g to both sides to get the variables on the same side +60 g +60 g 70 g + 12 = 45 - Subtract 12 from both sides to get the numbers on the same side -12 -12 70 g = 33 - Divide both sides by 70 to solve for g 70 70 g= 33/70

  12. Solve: You try

  13. Solve: - 1 - 1

  14. Assignment:Page 140# 2-18 even(2-6 just state the LCD do not solve, 8-18 solve) SHOW the Steps

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