139/30 Simplified

Learn how to find what is 139/30 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 139/30 in simplest form.

To reduce 139/30 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 139/30 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 139 and 30 is 1. Dividing both the numerator and denominator by GCF, the fraction 139/30 becomes 139/30 which is the simplest form.

139/30 Simplified as a Fraction
Using Factorization:
139/30 = (?)
139/30 = (139)/(2 x 3 x 5)      write 139/30 in terms of factors
= 139/30
139/30 = 139/30
139/30 simplified is 139/30

Using GCF
139/30 = (?)
GCF of 139 and 30 is 1.
139/30 = (139/1)/(30/1)
= 139/30
139/30 = 139/30
139/30 simplified is 139/30 in fraction form

Notes: 139/30 simplified in lowest terms
1. 139/30 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 139 and 30 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 139/30 can be represented in its reduced form.
2. On the other hand, you can also reduce 139/30 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 139/30 becomes (139)/(2 x 3 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 139/30 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 139/30

what to be found:
139/30 = ?
Reduce 139/30 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 139/30.
Prime factors of 139 = 139

step 3 Find the prime factors of the denominator of given fraction 139/30.
Prime factors of 30 = 2 x 3 x 5

step 4 Rewrite the fraction 139/30 in the form of prime factors as like the below:
139/30= (139) / (2 x 3 x 5)

step 5 The given fraction 139/30 can't be simplified further, because the numerator 139 of the given fraction is a prime number and not the factor of denominator 30.
Hence,
139/30 simplest form is 139/30.
139/30 simplified is 139/30, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 139/30 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 139/30 in its lowest terms.