Difference between revisions of "Reducible fraction"

 
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A '''reducible fraction''' is a [[ratio]] of two [[integer]]s which have a common [[divisor]].  Thus, for example, <math>\frac{10}{14}</math> is reducible because 2 divides both 10 and 14.
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A '''reducible fraction''' is a [[ratio]] of two [[integer]]s which have a common [[divisor]].  Thus, for example, <math>\frac{10}{14}</math> is reducible because 2 divides both 10 and 14. On the other hand, <math>\frac{5}{7}</math> is [[irreducible fraction|irreducible]].
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A fraction is no longer reducible or [[irreducible fraction|irreducible]] when the [[numerator]] and the [[denominator]] are [[relatively prime]] which means that the numerator and the denominator has a [[Greatest common divisor|gcd]] of 1.
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==See also==
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*[[Irreducible fraction]]
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*[[Greatest common divisor]]
  
 
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[[Category:Number theory]]

Latest revision as of 22:24, 5 January 2024

A reducible fraction is a ratio of two integers which have a common divisor. Thus, for example, $\frac{10}{14}$ is reducible because 2 divides both 10 and 14. On the other hand, $\frac{5}{7}$ is irreducible.

A fraction is no longer reducible or irreducible when the numerator and the denominator are relatively prime which means that the numerator and the denominator has a gcd of 1.

See also

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