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Q: Prime factorization of the numerator and the denominator?

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Take 30/42, for example. The prime factorization of the numerator (30) is 2 x 3 x 5. The prime factorization of the denominator (42) is 2 x 3 x 7. This will help you find the GCF or the LCM.

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

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

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.

The same numerator as which numerator and the same denominator as which denominator?

Related questions

You use a factor tree, for the 2 denominators. Yes that is correct the answer on the top but it says 2 denominators. This is the real correct way To do Prime Factorization in fractions first prime factorization the numerator and then the denominator. then put the prime factorization of the numerator on top and put the prime factorization of the denominator on the bottom like fractions.

Take 30/42, for example. The prime factorization of the numerator (30) is 2 x 3 x 5. The prime factorization of the denominator (42) is 2 x 3 x 7. This will help you find the GCF or the LCM.

When reducing a fraction, find the GCF of the numerator and denominator and divide them both by it. If the GCF is 1, the fraction is already in its simplest form.

875 = 53*7 1000 = 23*53

The idea is to divide numerator and denominator of a fraction by any common factors. Prime factorization is simply used to find all possible factors.

2/2

It is 2/3.

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

Only in improper fractions where the numerator is a multiple of the denominator.

When you can no longer find the a common factor between the numerator and the denominator. This can be done by prime factorization (easy to understand, but laborious), or by Euclid's Algorithm, which is much faster (especially for larger numbers).

simplest form