8/500 Simplified

Learn how to find what is 8/500 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 8/500 in simplest form.

To reduce 8/500 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 8/500 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 8 and 500 is 4. Dividing both the numerator and denominator by GCF, the fraction 8/500 becomes 2/125 which is the simplest form.

8/500 Simplified as a Fraction
Using Factorization:
8/500 = (?)
8/500 = (2 x 2 x 2)/(2 x 2 x 5 x 5 x 5)      write 8/500 in terms of factors
= 2/125
8/500 = 2/125
8/500 simplified is 2/125

Using GCF
8/500 = (?)
GCF of 8 and 500 is 4.
8/500 = (8/4)/(500/4)
= 2/125
8/500 = 2/125
8/500 simplified is 2/125 in fraction form
where,
8/500 is the given fraction to be simplified,
2/125 is the lowest term of 8/500.

Notes: 8/500 simplified in lowest terms
1. 8/500 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 8 and 500 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 8/500 can be represented in its reduced form.
2. On the other hand, you can also reduce 8/500 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 8/500 becomes (2 x 2 x 2)/(2 x 2 x 5 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 8/500 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 8/500

what to be found:
8/500 = ?
Reduce 8/500 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 8/500.
Prime factors of 8 = 2 x 2 x 2

step 3 Find the prime factors of the denominator of given fraction 8/500.
Prime factors of 500 = 2 x 2 x 5 x 5 x 5

step 4 Rewrite the fraction 8/500 in the form of prime factors as like the below:
8/500= (2 x 2 x 2) / (2 x 2 x 5 x 5 x 5)

step 5 Check and reduce the factors of 8 and 500 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2) / (2 x 2 x 5 x 5 x 5)
= ( 2)/( 5 x 5 x 5)
8/500 = 2/125
Hence,
8/500 in simplest form is 2/125.

8/500 simplified is 2/125, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 8/500 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 8/500 in its lowest terms.