# 14/12 Simplified in Lowest Terms

14/12 simplified in lowest terms provides the detailed information of what is the simplest form of 14/12, and the answer with steps help students to understand how to simplify the fraction in simplest form.

**Simplify 14/12 in Lowest Terms**

14/12 = (?)

14/12 = (2 x 7)/(2 x 2 x 3)

= 7/6

14/12 = 7/6

The simplest form of 14/12 is 7/6__where,__

14/12 is the given fraction to be simplified,

7/6 is the lowest term of 14/12.

## How-to: Simplify 14/12 in Lowest Terms

The below solution with step by step work shows how to find what is the lowest term of 14/12. The fraction 14/12 simplified can be found by using anyone of the below two methods:

1. Prime factorization method,

2. GCF method.

__Prime Factorization Method :__

step 1 Observe the input parameters and what to be found:

__Input values:__

Fraction = 14/12

__what to be found__:

14/12 = ?

Find what is the lowest term of 14/12.

step 2 Find the prime factors of the numerator of given fraction 14/12.*Prime factors of 14* = 2 x 7

step 3 Find the prime factors of the denominator of given fraction 14/12.*Prime factors of 12* = 2 x 2 x 3

step 4 Rewrite the fraction 14/12 in the form of prime factors as like the below:

14/12= (2 x 7) / (2 x 2 x 3)

step 5 Check and cancel the factors of 14 and 12 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:

= (2 x 7) / (2 x 2 x 3)

= ( 7)/( 2 x 3)

step 6 Simplify and rewrite the fraction as like the below:

= 7/6

14/12 = 7/6

Hence,

the simplest form of 14/12 is **7/6**.

__GCF Method :__

step 1 Observe the input parameters and what to be found:

__Input values:__

Fraction = 14/12

__what to be found__:

14/12 = ?

Find what is the lowest term of 14/12.

step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 14/12.

The GCF of 14 and 12 is 2.

step 3 Divide the numerator and denominator of the fraction 14/12 by GCF 2:

= (14/2)(12/2)

step 4 Simplify the above expression:

= (14/2)(12/2)

= 7/6

14/12 = 7/6

Hence, **7/6** is the simplified or lowest term of 14/12.