Difference between revisions of "Reducible fraction"

(add a tiny bit)
 
(4 intermediate revisions by 3 users not shown)
Line 1: Line 1:
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}{6}</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 when the [[numerator]] and the [[denominator]] are [[relatively prime]].  
+
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==
Line 8: Line 8:
  
 
{{stub}}
 
{{stub}}
 +
[[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, $\frac{10}{14}$ 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 have a Gcd of 1.

See also

This article is a stub. Help us out by expanding it.