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)Multipl y516 Our SolutionThe process above works just fine to simplify, but between getting commondenominators, taking reciprocals, and reducing, it can be avery involved we prefer a different method, to multiply the numerator and denomi-nator of the large fraction (in effect each term in the complexfraction) by theleast common denominator (LCD).
Rational Expressions - Complex Fractions Objective: Simplify complex fractions by multiplying each term by the least common denominator. Complex 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-
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