Fundamental Law of Fractions
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The fundamental law of fractions states that the value of a fraction does not change when its numerator and denominator are both multiplied by the same non-zero number. It can be applied to add or subtract two fractions and . Multiply the first by and the second by . Then the fractions have a common denominator (not necessarily the lowest!) and the new numerators can be added:
Contributed by: Jeff Bryant (September 2007)
Open content licensed under CC BY-NC-SA
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"Fundamental Law of Fractions"
http://demonstrations.wolfram.com/FundamentalLawOfFractions/
Wolfram Demonstrations Project
Published: September 28 2007