Transcription of Rational Expressions - Complex Fractions
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Rational Expressions - Complex Fractions
Expressions - Complex FractionsObjective: Simplify Complex Fractions by multiplying eachterm by theleast common Fractions have Fractions in either the numerator, or denominator, or usu-ally both. These Fractions can be simplified in one of two ways. This will be illus-trated first with integers, then we will consider how the process can be expandedto include Expressions with first method uses order of operations to simplify the numerator and denomi-nator first, then divide the two resulting Fractions by multiplying by the 1456+12 Get common denominator in top and bottom fractions812 31256+36 Add and subtract Fractions ,reducing solutions51243To divide Fractions we multiply by the reciprocal(512)(34)Reduce(54)(14)
nator first, then divide the two resulting fractions by multiplying by the recip-rocal. Example 1. 2 3 ... 5(2)+1(6) Multiply 8 − 3 10 +6 Addandsubtract 5 16 OurSolution Clearly the second method is a much cleaner and faster method to arrive at our solution. It is the method we will use when simplifying with variables as well.
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