Sometimes it can, and sometimes it can't. For example:
7/9 can not be reduced - there are no common factors.
9/15 can be reduced - the common factor is 3.
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You divide the numerator (top) by the GCF to give you the numerator for the reduced fraction. You divide the denominator (bottom) by the GCF to give you the denominator of the reduced fraction. DONE! For example, 27/45 GCF(27, 45) = 9 Numerator of reduced fraction = 27/9 = 3 Denominator of reduced fraction = 45/9 = 5 So reduced fraction = 3/5
That IS the reduced or simplified fraction.
Where the numerator and denominator have no further common factors
If the numerator and denominator have any common factors (other than 1), then both the numerator and denominator can be divided by the common factor, and the new fraction will be equivalent to the original fraction in reduced form.
For a fraction to be in its simplest form, numerator and denominator must have no common factor.