520/380 Simplified

Learn how to find what is 520/380 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 520/380 in simplest form.

To reduce 520/380 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 520/380 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 520 and 380 is 20. Dividing both the numerator and denominator by GCF, the fraction 520/380 becomes 26/19 which is the simplest form.

520/380 Simplified as a Fraction
Using Factorization:
520/380 = (?)
520/380 = (2 x 2 x 2 x 5 x 13)/(2 x 2 x 5 x 19)      write 520/380 in terms of factors
= 26/19
520/380 = 26/19
520/380 simplified is 26/19

Using GCF
520/380 = (?)
GCF of 520 and 380 is 20.
520/380 = (520/20)/(380/20)
= 26/19
520/380 = 26/19
520/380 simplified is 26/19 in fraction form
where,
520/380 is the given fraction to be simplified,
26/19 is the lowest term of 520/380.

Notes: 520/380 simplified in lowest terms
1. 520/380 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 520 and 380 is 20 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 520/380 can be represented in its reduced form.
2. On the other hand, you can also reduce 520/380 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 520/380 becomes (2 x 2 x 2 x 5 x 13)/(2 x 2 x 5 x 19). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 520/380 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 520/380

what to be found:
520/380 = ?
Reduce 520/380 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 520/380.
Prime factors of 520 = 2 x 2 x 2 x 5 x 13

step 3 Find the prime factors of the denominator of given fraction 520/380.
Prime factors of 380 = 2 x 2 x 5 x 19

step 4 Rewrite the fraction 520/380 in the form of prime factors as like the below:
520/380= (2 x 2 x 2 x 5 x 13) / (2 x 2 x 5 x 19)

step 5 Check and reduce the factors of 520 and 380 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 5 x 13) / (2 x 2 x 5 x 19)
= ( 2 x 13)/( 19)
520/380 = 26/19
Hence,
520/380 in simplest form is 26/19.

520/380 simplified is 26/19, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 520/380 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 520/380 in its lowest terms.