What is 12/8 simplified as a fraction?
12/8 in simplest form is 3/2.
Learn how to find what is 12/8 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 12/8 in simplest form.
To reduce 12/8 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 12/8 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 12 and 8 is 4. Dividing both the numerator and denominator by GCF, the fraction 12/8 becomes 3/2 which is the simplest form.
12/8 Simplified as a Fraction
Using Factorization:
12/8 = (?)
12/8 = (2 x 2 x 3)/(2 x 2 x 2) write 12/8 in terms of factors
= 3/2
12/8 = 3/2
12/8 simplified is 3/2
Using GCF
12/8 = (?)
GCF of 12 and 8 is 4.
12/8 = (12/4)/(8/4)
= 3/2
12/8 = 3/2
12/8 simplified is 3/2 in fraction form
where,
12/8 is the given fraction to be simplified,
3/2 is the lowest term of 12/8.
Notes: 12/8 simplified in lowest terms
1. 12/8 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 12 and 8 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 12/8 can be represented in its reduced form.
2. On the other hand, you can also reduce 12/8 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 12/8 becomes (2 x 2 x 3)/(2 x 2 x 2). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 12/8 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 12/8
what to be found:
12/8 = ?
Reduce 12/8 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 12/8.
Prime factors of 12 = 2 x 2 x 3
step 3 Find the prime factors of the denominator of given fraction 12/8.
Prime factors of 8 = 2 x 2 x 2
step 4 Rewrite the fraction 12/8 in the form of prime factors as like the below:
12/8= (2 x 2 x 3) / (2 x 2 x 2)
step 5 Check and reduce the factors of 12 and 8 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3) / (2 x 2 x 2)
= ( 3)/( 2)
12/8 = 3/2
Hence,
12/8 in simplest form is 3/2.
12/8 simplified is 3/2, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 12/8 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 12/8 in its lowest terms.