13/153 Simplified

Learn how to find what is 13/153 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 13/153 in simplest form.

To reduce 13/153 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 13/153 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 13 and 153 is 1. Dividing both the numerator and denominator by GCF, the fraction 13/153 becomes 13/153 which is the simplest form.

13/153 Simplified as a Fraction
Using Factorization:
13/153 = (?)
13/153 = (13)/(3 x 3 x 17)      write 13/153 in terms of factors
= 13/153
13/153 = 13/153
13/153 simplified is 13/153

Using GCF
13/153 = (?)
GCF of 13 and 153 is 1.
13/153 = (13/1)/(153/1)
= 13/153
13/153 = 13/153
13/153 simplified is 13/153 in fraction form

Notes: 13/153 simplified in lowest terms
1. 13/153 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 13 and 153 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 13/153 can be represented in its reduced form.
2. On the other hand, you can also reduce 13/153 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 13/153 becomes (13)/(3 x 3 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 13/153 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 13/153

what to be found:
13/153 = ?
Reduce 13/153 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 13/153.
Prime factors of 13 = 13

step 3 Find the prime factors of the denominator of given fraction 13/153.
Prime factors of 153 = 3 x 3 x 17

step 4 Rewrite the fraction 13/153 in the form of prime factors as like the below:
13/153= (13) / (3 x 3 x 17)

step 5 The given fraction 13/153 can't be simplified further, because the numerator 13 of the given fraction is a prime number and not the factor of denominator 153.
Hence,
13/153 simplest form is 13/153.
13/153 simplified is 13/153, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 13/153 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 13/153 in its lowest terms.