# 8/12 Simplified in Lowest Terms 8/12 simplified in lowest terms provides the detailed information of what is the simplest form of 8/12, and the answer with steps help students to understand how to simplify the fraction in simplest form.

Simplify 8/12 in Lowest Terms
8/12 = (?)
8/12 = (2 x 2 x 2)/(2 x 2 x 3)
= 2/3
8/12 = 2/3
The simplest form of 8/12 is 2/3

where,
8/12 is the given fraction to be simplified,
2/3 is the lowest term of 8/12.

For values other than 8/12, use this below tool:

## How-to: Simplify 8/12 in Lowest Terms

The below solution with step by step work shows how to find what is the lowest term of 8/12. The fraction 8/12 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 = 8/12

what to be found:
8/12 = ?
Find what is the lowest term of 8/12.

step 2 Find the prime factors of the numerator of given fraction 8/12.
Prime factors of 8 = 2 x 2 x 2

step 3 Find the prime factors of the denominator of given fraction 8/12.
Prime factors of 12 = 2 x 2 x 3

step 4 Rewrite the fraction 8/12 in the form of prime factors as like the below:
8/12= (2 x 2 x 2) / (2 x 2 x 3)

step 5 Check and cancel the factors of 8 and 12 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
= (2 x 2 x 2) / (2 x 2 x 3)
= ( 2)/( 3)

step 6 Simplify and rewrite the fraction as like the below:
= 2/3
8/12 = 2/3
Hence,
the simplest form of 8/12 is 2/3.

GCF Method :
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 8/12

what to be found:
8/12 = ?
Find what is the lowest term of 8/12.

step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 8/12.
The GCF of 8 and 12 is 4.

step 3 Divide the numerator and denominator of the fraction 8/12 by GCF 4:
= (8/4)(12/4)

step 4 Simplify the above expression:
= (8/4)(12/4)
= 2/3
8/12 = 2/3

Hence,
2/3 is the simplified or lowest term of 8/12. 