100/500 Simplified

Learn how to find what is 100/500 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 100/500 in simplest form.

To simplify 100/500 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 100/500 can be reduced in simplest form. In this case, the greatest common divisor of 100 and 500 is 100. Dividing both the numerator and denominator by GCD, the fraction 100/500 becomes 1/5 which is the simplest form.

Simplify 100/500 as a Fraction
Using Factorization:
100/500 = (?)
100/500 = (2 x 2 x 5 x 5)/(2 x 2 x 5 x 5 x 5)      //write 100/500 in terms of factors
= 1/5
100/500 = 1/5
100/500 simplified is 1/5

Using GCD:
100/500 = (?)
GCD of 100 and 500 is 100.
100/500 = (100/100)/(500/100)
= 1/5
100/500 = 1/5
100/500 simplified is 1/5 in fraction form
where,
100/500 is the given fraction to be simplified,
1/5 is the lowest term of 100/500.

Notes: Simplify 100/500 in lowest terms
1. 100/500 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 100 and 500 is 100 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 100/500 can be represented in its reduced form.
2. On the other hand, you can also reduce 100/500 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 100/500 becomes (2 x 2 x 5 x 5)/(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 100/500 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 100/500

what to be found:
100/500 = ?
Simplify 100/500 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 100/500.
Prime factors of 100 = 2 x 2 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 100/500.
Prime factors of 500 = 2 x 2 x 5 x 5 x 5

step 4 Rewrite the fraction 100/500 in the form of prime factors as like the below:
100/500= (2 x 2 x 5 x 5) / (2 x 2 x 5 x 5 x 5)

step 5 Check and reduce the factors of 100 and 500 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 5 x 5) / (2 x 2 x 5 x 5 x 5)
= (1)/( 5)
100/500 = 1/5

Hence,
100/500 in simplest form is 1/5.

Representing fraction 100/500 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 100/500 in its lowest terms.