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. On the other hand, <math>\frac{5}{7}</math> is [[irreducible fraction|irreducible]]. | 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]]. | ||
| − | 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 | + | 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 have a [[Greatest common divisor|Gcd]] of 1. |
==See also== | ==See also== | ||
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{{stub}} | {{stub}} | ||
| − | [[Category:Number | + | [[Category:Number theory]] |
Latest revision as of 09:24, 31 July 2024
A reducible fraction is a ratio of two integers which have a common divisor. Thus, for example, 
is reducible because 2 divides both 10 and 14. On the other hand, 
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 have a Gcd of 1.
See also
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