138/322 Simplified

Learn how to find what is 138/322 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 138/322 in simplest form.

To reduce 138/322 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 138/322 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 138 and 322 is 46. Dividing both the numerator and denominator by GCF, the fraction 138/322 becomes 3/7 which is the simplest form.

138/322 Simplified as a Fraction
Using Factorization:
138/322 = (?)
138/322 = (2 x 3 x 23)/(2 x 7 x 23)      write 138/322 in terms of factors
= 3/7
138/322 = 3/7
138/322 simplified is 3/7

Using GCF
138/322 = (?)
GCF of 138 and 322 is 46.
138/322 = (138/46)/(322/46)
= 3/7
138/322 = 3/7
138/322 simplified is 3/7 in fraction form
where,
138/322 is the given fraction to be simplified,
3/7 is the lowest term of 138/322.

Notes: 138/322 simplified in lowest terms
1. 138/322 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 138 and 322 is 46 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 138/322 can be represented in its reduced form.
2. On the other hand, you can also reduce 138/322 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 138/322 becomes (2 x 3 x 23)/(2 x 7 x 23). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 138/322 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 138/322

what to be found:
138/322 = ?
Reduce 138/322 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 138/322.
Prime factors of 138 = 2 x 3 x 23

step 3 Find the prime factors of the denominator of given fraction 138/322.
Prime factors of 322 = 2 x 7 x 23

step 4 Rewrite the fraction 138/322 in the form of prime factors as like the below:
138/322= (2 x 3 x 23) / (2 x 7 x 23)

step 5 Check and reduce the factors of 138 and 322 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 23) / (2 x 7 x 23)
= ( 3 )/( 7 )
138/322 = 3/7
Hence,
138/322 in simplest form is 3/7.

138/322 simplified is 3/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 138/322 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 138/322 in its lowest terms.