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Clearing Fractions

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A lesson on clearing f

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Clearing Fractions

1. 1. <ul><li>Goal: To solve an equation with fractions by first clearing the fractions. </li></ul>
2. 3. <ul><li>Anytime you see Fractions in the equation multiply every term of your equation by the LCD. </li></ul>
3. 4. <ul><li>LCD : Least Common Denominator </li></ul><ul><li>How do you find it? - Take all the denominators and take the Least Common Multiple </li></ul><ul><li>Least Common Multiple is the number that all the numbers could be multiplied by another number to get. </li></ul>
4. 5. <ul><li>I look for the largest denominator and see if it is multiple by the other denominators </li></ul><ul><li>If it is multiple by the rest of the denominators then I am done  </li></ul><ul><li>If its not a multiple of the denominators then I multiply my largest denominator by 2 or 3 and keep doing the process until I find a number that is a multiple of all denominators </li></ul>
5. 6. <ul><li>Multiply both sides to clear fractions and decimals, if necessary </li></ul><ul><li>Distribute. </li></ul><ul><li>Collect like terms on same side. </li></ul><ul><li>Move variables to same side of equation with the APE </li></ul><ul><li>Move the numbers (constants) to the other side of the equation with the APE </li></ul><ul><li>Use the MPE to solve for the variable </li></ul>
6. 8. (2/3x) (6/1) +(1/2x) (6/1) = (5/6) (6/1) + (2x)( 6) (12x /3) + (6x /2) = (30/6) + (12x)
7. 9. LCD = 4
8. 10. Write the equivalent equation 1 1 1 1
9. 11. <ul><li>- Subtract x from both sides to get the variables on the same side </li></ul><ul><li>Divide by 2 to solve for x </li></ul><ul><li>X=4 </li></ul>x +8 =3x -x -x 8= 2x 2 2 4=x
10. 12. <ul><li>(1g/3) + (2/5) = (3/2) - 2g </li></ul><ul><li>What is the LCD? </li></ul><ul><li>30 </li></ul>
11. 13. Write the equivalent equation 10 1 6 1 15 1
12. 14. +60 g +60 g - Add 60g to both sides to get the variables on the same side 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
13. 16. - 1 - 1
14. 17. Algebra Review