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Published byGwendolyn Gardner Modified over 9 years ago
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The easiest way to solve a fraction equation is to first get rid of the fraction !!! Multiply each term by the common denominator!! This will cancel the denominator, leaving just numerators!! h has a denominator of one, so just multiply 14 times h. Ex. 1
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First, multiply each term by the common denominator!! This will cancel the denominator, leaving just numerators!! m has a denominator of one, so just multiply 8 times m. Ex. 2
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Even though the problem looks different, follow the same steps. First, multiply each term by the common denominator!! -2 and 8 have a denominator of one, so just multiply (-2)(9) and (8)(9). Ex. 3
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First, multiply each term by the common denominator!! -2 and 4 have a denominator of one, so just multiply (-2)(5) and (4)(5). Ex. 4
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The problem looks different again but still follow the same steps. First, multiply each term by the common denominator!! What is it? NOW, divide 3 into 12. This will cancel the 3. This will give you 4. Now multiply 4(-2). Ex. 5
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First, multiply each term by the common denominator!! What is it? 3 will go into 12, 4 times. (4)(-1) = 2 will go into 12, 6 times. (6)(1) = Ex. 6
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Separate the double fraction then use same steps as before!! The x – 8 becomes x + -8 when we separate the fractions. Now multiply by LCD. Fix your signs back. Now solve for “x” Ex. 7
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Separate the double fraction AND fix your double sign. Ex. 8
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Ex. 9 With this type of problem you will FIRST distribute, THEN separate. Get rid of the LCD. What is it? 5(11) = 55
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Ex. 10 USE THESE STEPS First Distribute Separate Multiply by LCD Solve
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Ex. 11 USE THESE STEPS Separate Multiply by LCD Solve What happened to the variables? The variables cancelled each other out. The statement left says 1 = 20. IS THAT TRUE OR FALSE? If the statement had been TRUE, the answer would have been ALL REAL NUMBERS
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