if and only if there is no other equal fraction such that 1={{abs < abs|a}}}} or 1={{abs < abs|b}}}}, where means the absolute value of a. (Two fractions and are equal or equivalent if and only if ad = bc.)

For example, , , and are all irreducible fractions. On the other hand, is reducible since it is equal in value to , and the numerator of is less than the numerator of .

A fraction that is reducible can be reduced

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