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To reduce a rational number to its simplest terms, divide both the numerator and denominator by all the common factors resulting in both elements being prime numbers or being relatively prime (i.e. they have no factors in common)

Example : 4500/6600 = 45/66 = 15/22

Neither 15 or 22 are prime numbers but the two numbers have no common factors (15 = 3x5 : 22 = 2x11) and are therefore relatively prime.

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