6/14 Simplified

Learn how to find what is 6/14 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 6/14 in simplest form.

To reduce 6/14 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 6/14 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 6 and 14 is 2. Dividing both the numerator and denominator by GCF, the fraction 6/14 becomes 3/7 which is the simplest form.

6/14 Simplified as a Fraction
Using Factorization:
6/14 = (?)
6/14 = (2 x 3)/(2 x 7)      write 6/14 in terms of factors
= 3/7
6/14 = 3/7
6/14 simplified is 3/7

Using GCF
6/14 = (?)
GCF of 6 and 14 is 2.
6/14 = (6/2)/(14/2)
= 3/7
6/14 = 3/7
6/14 simplified is 3/7 in fraction form
where,
6/14 is the given fraction to be simplified,
3/7 is the lowest term of 6/14.

Notes: 6/14 simplified in lowest terms
1. 6/14 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 6 and 14 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 6/14 can be represented in its reduced form.
2. On the other hand, you can also reduce 6/14 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 6/14 becomes (2 x 3)/(2 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 6/14 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 6/14

what to be found:
6/14 = ?
Reduce 6/14 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 6/14.
Prime factors of 6 = 2 x 3

step 3 Find the prime factors of the denominator of given fraction 6/14.
Prime factors of 14 = 2 x 7

step 4 Rewrite the fraction 6/14 in the form of prime factors as like the below:
6/14= (2 x 3) / (2 x 7)

step 5 Check and reduce the factors of 6 and 14 if any factors in the numerator and denominator cancel each other:
= (2 x 3) / (2 x 7)
= ( 3)/( 7)
6/14 = 3/7
Hence,
6/14 in simplest form is 3/7.

6/14 simplified is 3/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 6/14 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 6/14 in its lowest terms.