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Q: What is a fraction when it's numerator and it denominator are relitively prime?

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Yes, if the denominator is a multiple of the numerator. No, if not.

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simplest form

It is 2/3.

To simplify a fraction, the numerator and denominator must both be divisible by the same number (factor).Divide the numerator and the denominator by their GCF (greatest common factor). For example, to simplify the fraction 14/49, divide the numerator and the denominator by 7 to obtain the simplified fraction 2/7.In the simplest form of a fraction, the numerator and denominator are relatively prime or co-prime, i.e. they have no common prime factors, their GCF is 1.

As the numerator and denominator don't have any common factors then the fraction is in its simplest form. If they weren't relatively prime then there would be a common factor and therefore the fraction could be simplified.

A fraction in which the numerator and denominator are co-prime.

The top number of a fraction is the numerator. The bottom number is the denominator. In the fraction 1/5, the number 1 is the numerator, and the number 5 is the denominator.

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When the numerator and denominator are not co-prime.

Yes. If the numerator and denominator of a fraction are prime, the fraction is in simplest form. The reason is that each number has only two factors, 1 and the number itself. For that reason, it is not possible for the numerator and denominator to have any factors (other than 1) in common.

No. To simplify a fraction the numerator and denominator must have a common factor greater than 1.

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