137/39 Simplified

Learn how to find what is 137/39 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 137/39 in simplest form.

To reduce 137/39 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 137/39 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 137 and 39 is 1. Dividing both the numerator and denominator by GCF, the fraction 137/39 becomes 137/39 which is the simplest form.

137/39 Simplified as a Fraction
Using Factorization:
137/39 = (?)
137/39 = (137)/(3 x 13)      write 137/39 in terms of factors
= 137/39
137/39 = 137/39
137/39 simplified is 137/39

Using GCF
137/39 = (?)
GCF of 137 and 39 is 1.
137/39 = (137/1)/(39/1)
= 137/39
137/39 = 137/39
137/39 simplified is 137/39 in fraction form

Notes: 137/39 simplified in lowest terms
1. 137/39 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 137 and 39 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 137/39 can be represented in its reduced form.
2. On the other hand, you can also reduce 137/39 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 137/39 becomes (137)/(3 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 137/39 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 137/39

what to be found:
137/39 = ?
Reduce 137/39 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 137/39.
Prime factors of 137 = 137

step 3 Find the prime factors of the denominator of given fraction 137/39.
Prime factors of 39 = 3 x 13

step 4 Rewrite the fraction 137/39 in the form of prime factors as like the below:
137/39= (137) / (3 x 13)

step 5 The given fraction 137/39 can't be simplified further, because the numerator 137 of the given fraction is a prime number and not the factor of denominator 39.
Hence,
137/39 simplest form is 137/39.
137/39 simplified is 137/39, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 137/39 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 137/39 in its lowest terms.