Fractions, or Rational Numbers, can be written in many equivalent forms. Multiplying numerator and denominator by the same number leave the value of the fraction unchanged, but can make the fraction appear to be different:

$1/2~=~2/4$
$3/4~=~9/12,$
$6/9~=~10/15,$
$8/28~=~26/91,$

... and so on. However, for every fraction there is a standard representation, a standard form, wherein the denominator is positive and as small as possible. This is said to be "lowest terms."

To write a fraction in lowest terms, simply divide both numerator and denominator by their highest common factor, or HCF.

AbsoluteValue AddingRealNumbers AlgebraicNumber CauchySequence ContinuumHypothesis CountableSet DedekindCut Denominator DividingRationalNumbers DividingWholeNumbers Divisor DomainOfAFunction Euclid EuclideanAlgorithm ImproperFraction IrrationalNumber LeastCommonMultiple MagnitudeOfAVector MixedNumber MultiplyingRationalNumbers Numerator RealNumber RootTwoIsIrrational SubtractingRationalNumbers TypesOfNumber	CommonFactor MathematicsTaxonomy			AddingRationalNumbers Admin_ProjectFrontEnd
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CancellingFractions CauchySequence CommonFactor CountableSet Divisor Integer IrrationalNumber LeastCommonMultiple Pythagoras RealNumber RootTwoIsIrrational	(none)			(none)

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Reducing Fractions To Lowest Terms

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