240/324 Simplified

Learn how to find what is 240/324 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 240/324 in simplest form.

To simplify 240/324 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 240/324 can be reduced in simplest form. In this case, the greatest common divisor of 240 and 324 is 12. Dividing both the numerator and denominator by GCD, the fraction 240/324 becomes 20/27 which is the simplest form.

Simplify 240/324 as a Fraction
Using Factorization:
240/324 = (?)
240/324 = (2 x 2 x 2 x 2 x 3 x 5)/(2 x 2 x 3 x 3 x 3 x 3)      //write 240/324 in terms of factors
= 20/27
240/324 = 20/27
240/324 simplified is 20/27

Using GCD:
240/324 = (?)
GCD of 240 and 324 is 12.
240/324 = (240/12)/(324/12)
= 20/27
240/324 = 20/27
240/324 simplified is 20/27 in fraction form
where,
240/324 is the given fraction to be simplified,
20/27 is the lowest term of 240/324.

Notes: Simplify 240/324 in lowest terms
1. 240/324 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 240 and 324 is 12 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 240/324 can be represented in its reduced form.
2. On the other hand, you can also reduce 240/324 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 240/324 becomes (2 x 2 x 2 x 2 x 3 x 5)/(2 x 2 x 3 x 3 x 3 x 3). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 240/324 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 240/324

what to be found:
240/324 = ?
Simplify 240/324 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 240/324.
Prime factors of 240 = 2 x 2 x 2 x 2 x 3 x 5

step 3 Find the prime factors of the denominator of given fraction 240/324.
Prime factors of 324 = 2 x 2 x 3 x 3 x 3 x 3

step 4 Rewrite the fraction 240/324 in the form of prime factors as like the below:
240/324= (2 x 2 x 2 x 2 x 3 x 5) / (2 x 2 x 3 x 3 x 3 x 3)

step 5 Check and reduce the factors of 240 and 324 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 3 x 5) / (2 x 2 x 3 x 3 x 3 x 3)
= ( 2 x 2 x 5)/( 3 x 3 x 3)
240/324 = 20/27

Hence,
240/324 in simplest form is 20/27.

Representing fraction 240/324 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 240/324 in its lowest terms.