5/130 Simplified

Learn how to find what is 5/130 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 5/130 in simplest form.

To reduce 5/130 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 5/130 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 5 and 130 is 5. Dividing both the numerator and denominator by GCF, the fraction 5/130 becomes 1/26 which is the simplest form.

5/130 Simplified as a Fraction
Using Factorization:
5/130 = (?)
5/130 = (5)/(2 x 5 x 13)      write 5/130 in terms of factors
= 1/26
5/130 = 1/26
5/130 simplified is 1/26

Using GCF
5/130 = (?)
GCF of 5 and 130 is 5.
5/130 = (5/5)/(130/5)
= 1/26
5/130 = 1/26
5/130 simplified is 1/26 in fraction form
where,
5/130 is the given fraction to be simplified,
1/26 is the lowest term of 5/130.

Notes: 5/130 simplified in lowest terms
1. 5/130 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 5 and 130 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 5/130 can be represented in its reduced form.
2. On the other hand, you can also reduce 5/130 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 5/130 becomes (5)/(2 x 5 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 5/130 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 5/130

what to be found:
5/130 = ?
Reduce 5/130 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 5/130.
Prime factors of 5 = 5

step 3 Find the prime factors of the denominator of given fraction 5/130.
Prime factors of 130 = 2 x 5 x 13

step 4 Rewrite the fraction 5/130 in the form of prime factors as like the below:
5/130= (5) / (2 x 5 x 13)

step 5 Check and reduce the factors of 5 and 130 if any factors in the numerator and denominator cancel each other:
= (5) / (2 x 5 x 13)
= (1)/(2 x 13)
5/130 = 1/26
Hence,
5/130 in simplest form is 1/26.

5/130 simplified is 1/26, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 5/130 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 5/130 in its lowest terms.