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Clearing Fractions

on Sep 12, 2011

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A lesson on clearing f

A lesson on clearing f

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Clearing FractionsPresentation Transcript

• Goal: To solve an equation with fractions by first clearing the fractions.
•
• Anytime you see Fractions in the equation multiply every term of your equation by the 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.
• I look for the largest denominator and see if it is multiple by the other denominators
• If it is multiple by the rest of the denominators then I am done 
• 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
• Multiply both sides to clear fractions and decimals, if necessary
• 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
•
• (2/3x) (6/1) +(1/2x) (6/1) = (5/6) (6/1) + (2x)( 6) (12x /3) + (6x /2) = (30/6) + (12x)
• LCD = 4
• Write the equivalent equation 1 1 1 1
• - Subtract x from both sides to get the variables on the same side
• Divide by 2 to solve for x
• X=4
x +8 =3x -x -x 8= 2x 2 2 4=x
• (1g/3) + (2/5) = (3/2) - 2g
• What is the LCD?
• 30
• Write the equivalent equation 10 1 6 1 15 1
• +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
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• - 1 - 1
• Algebra Review