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What is the prime factorization of both the numerator and the denominator of the fraction?
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.
If the numerator of a fraction is a prime number can the fraction be simplied?
Yes, if the denominator is a multiple of the numerator. No, if not.
What is the prime factorization of the fraction 540 over 600?
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.
If the numerator and denominator of a fraction are prime numbers is the fraction in simplest form and why?
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.
Can fraction notation be simplified if the numerator and denominator are two different prime numbers?
No. To simplify a fraction the numerator and denominator must have a common factor greater than 1.
