MTH121 Chapter 6 - MTH121Chapter 6 Fraction Operations and...

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MTH121—Chapter 6 Fraction Operations and Properties Fractions : an ordered pair of whole numbers, such that and are whole numbers, 0 a F a b b b The term fraction can be used in two ways: Numeral indicates the number of parts to the whole; Number is the relative amount of the whole. Equivalency is the merger of the two concepts, a an b bn . Cross Product (test for equivalency): iff ac ad bc bd . Cross Product (test for order): . Density: Between any two fractions is another fraction. Techniques for finding fractions between fractions: 1. Fraction Equivalency 7 3 21 11 3 33 22 23 , 33 33 8 3 24 11 3 33 2. a a c c b b d d 2 2 4 4 3 3 5 5
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Operations with Fractions : Addition : Common Denominator: a c a c b b b Measurement Models: Region Model Number-line Model 3 2 5 8 8 8 2 8 + 3 8 0 5 8 1 Unlike Denominator: Cross Product Method: a c ad bc b d bd 3 7 4 5 3 4 21 20 41 5 7 5 7 35 Properties of Fraction Addition: Closure: the sum of fractions is a fraction Commutativity: a c c a b d d b Associativity: a c e a c e b d f b d f Additive Identity: 00 aaa b b b b b
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MTH121 Chapter 6 - MTH121Chapter 6 Fraction Operations and...

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