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.
No. To simplify a fraction the numerator and denominator must have a common factor greater than 1.
Equivalent fraction match * * * * * Yes, if the denominator is a multiple of the numerator. For example, 7/35 = 1/5
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.
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.
2/2
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.
simplest form
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).
It is 2/3.
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 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.
The fraction is said to be in its simplest form.