2020/4320 Simplified

Learn how to find what is 2020/4320 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 2020/4320 in simplest form.

To simplify 2020/4320 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 2020/4320 can be reduced in simplest form. In this case, the greatest common divisor of 2020 and 4320 is 20. Dividing both the numerator and denominator by GCD, the fraction 2020/4320 becomes 101/216 which is the simplest form.

Simplify 2020/4320 as a Fraction
Using Factorization:
2020/4320 = (?)
2020/4320 = (2 x 2 x 5 x 101)/(2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5)      //write 2020/4320 in terms of factors
= 101/216
2020/4320 = 101/216
2020/4320 simplified is 101/216

Using GCD:
2020/4320 = (?)
GCD of 2020 and 4320 is 20.
2020/4320 = (2020/20)/(4320/20)
= 101/216
2020/4320 = 101/216
2020/4320 simplified is 101/216 in fraction form
where,
2020/4320 is the given fraction to be simplified,
101/216 is the lowest term of 2020/4320.

Notes: Simplify 2020/4320 in lowest terms
1. 2020/4320 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 2020 and 4320 is 20 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 2020/4320 can be represented in its reduced form.
2. On the other hand, you can also reduce 2020/4320 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 2020/4320 becomes (2 x 2 x 5 x 101)/(2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 2020/4320 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 2020/4320

what to be found:
2020/4320 = ?
Simplify 2020/4320 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 2020/4320.
Prime factors of 2020 = 2 x 2 x 5 x 101

step 3 Find the prime factors of the denominator of given fraction 2020/4320.
Prime factors of 4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5

step 4 Rewrite the fraction 2020/4320 in the form of prime factors as like the below:
2020/4320= (2 x 2 x 5 x 101) / (2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5)

step 5 Check and reduce the factors of 2020 and 4320 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 5 x 101) / (2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5)
= ( 101)/( 2 x 2 x 2 x 3 x 3 x 3 )
2020/4320 = 101/216

Hence,
2020/4320 in simplest form is 101/216.

Representing fraction 2020/4320 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 2020/4320 in its lowest terms.