12/315 Simplified

Learn how to find what is 12/315 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 12/315 in simplest form.

To reduce 12/315 in its lowest terms, you must be familiar with either how to find the greatest common factor or prime factors. Both of these methods are used to recognize if 12/315 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 12 and 315 is 3. Dividing both the numerator and denominator by GCF, the fraction 12/315 becomes 4/105 which is the simplest form.

12/315 Simplified as a Fraction
Using Factorization:
12/315 = (?)
12/315 = (2 x 2 x 3)/(3 x 3 x 5 x 7)      write 12/315 in terms of factors
= 4/105
12/315 = 4/105
12/315 simplified is 4/105

Using GCF
12/315 = (?)
GCF of 12 and 315 is 3.
12/315 = (12/3)/(315/3)
= 4/105
12/315 = 4/105
12/315 simplified is 4/105 in fraction form
where,
12/315 is the given fraction to be simplified,
4/105 is the lowest term of 12/315.

Notes: 12/315 simplified in lowest terms
1. 12/315 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 12 and 315 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 12/315 can be represented in its reduced form.
2. On the other hand, you can also reduce 12/315 in simplest form by using the factorization method. In this case, the numerator and denominator of fraction should be written in the form of prime factors, so the fraction 12/315 becomes (2 x 2 x 3)/(3 x 3 x 5 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 12/315 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 12/315

what to be found:
12/315 = ?
Reduce 12/315 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 12/315.
Prime factors of 12 = 2 x 2 x 3

step 3 Find the prime factors of the denominator of given fraction 12/315.
Prime factors of 315 = 3 x 3 x 5 x 7

step 4 Rewrite the fraction 12/315 in the form of prime factors as like the below:
12/315= (2 x 2 x 3) / (3 x 3 x 5 x 7)

step 5 Check and reduce the factors of 12 and 315 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3) / (3 x 3 x 5 x 7)
= (2 x 2 )/( 3 x 5 x 7)
12/315 = 4/105
Hence,
12/315 in simplest form is 4/105.

12/315 simplified is 4/105, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 12/315 to its simplest form involves the greatest common factor or factorization. Recognizing the GCF or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 12/315 in its lowest terms.