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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.
To find the prime factorization of the fraction 540/600, first simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 60. This simplifies the fraction to 9/10. The prime factorization of 9 is 3^2, and the prime factorization of 10 is 2 * 5. Therefore, the prime factorization of the fraction 540/600 is 3^2/2 * 5.
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.