12/154 Simplified

Learn how to find what is 12/154 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 12/154 in simplest form.

To reduce 12/154 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 12/154 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 12 and 154 is 2. Dividing both the numerator and denominator by GCF, the fraction 12/154 becomes 6/77 which is the simplest form.

12/154 Simplified as a Fraction
Using Factorization:
12/154 = (?)
12/154 = (2 x 2 x 3)/(2 x 7 x 11)      write 12/154 in terms of factors
= 6/77
12/154 = 6/77
12/154 simplified is 6/77

Using GCF
12/154 = (?)
GCF of 12 and 154 is 2.
12/154 = (12/2)/(154/2)
= 6/77
12/154 = 6/77
12/154 simplified is 6/77 in fraction form
where,
12/154 is the given fraction to be simplified,
6/77 is the lowest term of 12/154.

Notes: 12/154 simplified in lowest terms
1. 12/154 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 12 and 154 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 12/154 can be represented in its reduced form.
2. On the other hand, you can also reduce 12/154 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 12/154 becomes (2 x 2 x 3)/(2 x 7 x 11). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 12/154 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 12/154

what to be found:
12/154 = ?
Reduce 12/154 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 12/154.
Prime factors of 12 = 2 x 2 x 3

step 3 Find the prime factors of the denominator of given fraction 12/154.
Prime factors of 154 = 2 x 7 x 11

step 4 Rewrite the fraction 12/154 in the form of prime factors as like the below:
12/154= (2 x 2 x 3) / (2 x 7 x 11)

step 5 Check and reduce the factors of 12 and 154 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3) / (2 x 7 x 11)
= ( 2 x 3)/( 7 x 11)
12/154 = 6/77
Hence,
12/154 in simplest form is 6/77.

12/154 simplified is 6/77, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 12/154 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 12/154 in its lowest terms.