720/2300 Simplified

Learn how to find what is 720/2300 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 720/2300 in simplest form.

To simplify 720/2300 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 720/2300 can be reduced in simplest form. In this case, the greatest common divisor of 720 and 2300 is 20. Dividing both the numerator and denominator by GCD, the fraction 720/2300 becomes 36/115 which is the simplest form.

Simplify 720/2300 as a Fraction
Using Factorization:
720/2300 = (?)
720/2300 = (2 x 2 x 2 x 2 x 3 x 3 x 5)/(2 x 2 x 5 x 5 x 23)      //write 720/2300 in terms of factors
= 36/115
720/2300 = 36/115
720/2300 simplified is 36/115

Using GCD:
720/2300 = (?)
GCD of 720 and 2300 is 20.
720/2300 = (720/20)/(2300/20)
= 36/115
720/2300 = 36/115
720/2300 simplified is 36/115 in fraction form
where,
720/2300 is the given fraction to be simplified,
36/115 is the lowest term of 720/2300.

Notes: Simplify 720/2300 in lowest terms
1. 720/2300 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 720 and 2300 is 20 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 720/2300 can be represented in its reduced form.
2. On the other hand, you can also reduce 720/2300 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 720/2300 becomes (2 x 2 x 2 x 2 x 3 x 3 x 5)/(2 x 2 x 5 x 5 x 23). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 720/2300 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 720/2300

what to be found:
720/2300 = ?
Simplify 720/2300 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 720/2300.
Prime factors of 720 = 2 x 2 x 2 x 2 x 3 x 3 x 5

step 3 Find the prime factors of the denominator of given fraction 720/2300.
Prime factors of 2300 = 2 x 2 x 5 x 5 x 23

step 4 Rewrite the fraction 720/2300 in the form of prime factors as like the below:
720/2300= (2 x 2 x 2 x 2 x 3 x 3 x 5) / (2 x 2 x 5 x 5 x 23)

step 5 Check and reduce the factors of 720 and 2300 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 3 x 3 x 5) / (2 x 2 x 5 x 5 x 23)
= ( 2 x 2 x 3 x 3 )/( 5 x 23)
720/2300 = 36/115

Hence,
720/2300 in simplest form is 36/115.

Representing fraction 720/2300 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 720/2300 in its lowest terms.