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.
140/700
Yes, if the denominator is a multiple of the numerator. No, if not.
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.
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.
No. To simplify a fraction the numerator and denominator must have a common factor greater than 1.
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.
140/700
Yes, if the denominator is a multiple of the numerator. No, if not.
2/2
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.
simplest form
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.
It is 2/3.
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).
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.
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 fraction is said to be in its simplest form.