What is 108/2 simplified as a fraction?
108/2 in simplest form is 54/1.
Learn how to find what is 108/2 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 108/2 in simplest form.
To reduce 108/2 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 108/2 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 108 and 2 is 2. Dividing both the numerator and denominator by GCF, the fraction 108/2 becomes 54/1 which is the simplest form.
108/2 Simplified as a Fraction
Using Factorization:
108/2 = (?)
108/2 = (2 x 2 x 3 x 3 x 3)/(2) write 108/2 in terms of factors
= 54/1
108/2 = 54/1
108/2 simplified is 54/1
Using GCF
108/2 = (?)
GCF of 108 and 2 is 2.
108/2 = (108/2)/(2/2)
= 54/1
108/2 = 54/1
108/2 simplified is 54/1 in fraction form
where,
108/2 is the given fraction to be simplified,
54/1 is the lowest term of 108/2.
Notes: 108/2 simplified in lowest terms
1. 108/2 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 108 and 2 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 108/2 can be represented in its reduced form.
2. On the other hand, you can also reduce 108/2 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 108/2 becomes (2 x 2 x 3 x 3 x 3)/(2). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 108/2 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 108/2
what to be found:
108/2 = ?
Reduce 108/2 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 108/2.
Prime factors of 108 = 2 x 2 x 3 x 3 x 3
step 3 Find the prime factors of the denominator of given fraction 108/2.
Prime factors of 2 = 2
step 4 Rewrite the fraction 108/2 in the form of prime factors as like the below:
108/2= (2 x 2 x 3 x 3 x 3) / (2)
step 5 Check and reduce the factors of 108 and 2 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3 x 3 x 3) / (2)
= ( 2 x 3 x 3 x 3)/(1)
108/2 = 54/1
Hence,
108/2 in simplest form is 54/1.
108/2 simplified is 54/1, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 108/2 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 108/2 in its lowest terms.