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)
+ 1(12) 2 Reduceeachfraction 2(4) − 1(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. We will first find the LCD of the small fractions, and multiply each term by ...
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