204/150 Simplified

Learn how to find what is 204/150 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 204/150 in simplest form.

To simplify 204/150 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 204/150 can be reduced in simplest form. In this case, the greatest common divisor of 204 and 150 is 6. Dividing both the numerator and denominator by GCD, the fraction 204/150 becomes 34/25 which is the simplest form.

Simplify 204/150 as a Fraction
Using Factorization:
204/150 = (?)
204/150 = (2 x 2 x 3 x 17)/(2 x 3 x 5 x 5)      //write 204/150 in terms of factors
= 34/25
204/150 = 34/25
204/150 simplified is 34/25

Using GCD:
204/150 = (?)
GCD of 204 and 150 is 6.
204/150 = (204/6)/(150/6)
= 34/25
204/150 = 34/25
204/150 simplified is 34/25 in fraction form
where,
204/150 is the given fraction to be simplified,
34/25 is the lowest term of 204/150.

Notes: Simplify 204/150 in lowest terms
1. 204/150 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 204 and 150 is 6 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 204/150 can be represented in its reduced form.
2. On the other hand, you can also reduce 204/150 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 204/150 becomes (2 x 2 x 3 x 17)/(2 x 3 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 204/150 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 204/150

what to be found:
204/150 = ?
Simplify 204/150 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 204/150.
Prime factors of 204 = 2 x 2 x 3 x 17

step 3 Find the prime factors of the denominator of given fraction 204/150.
Prime factors of 150 = 2 x 3 x 5 x 5

step 4 Rewrite the fraction 204/150 in the form of prime factors as like the below:
204/150= (2 x 2 x 3 x 17) / (2 x 3 x 5 x 5)

step 5 Check and reduce the factors of 204 and 150 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3 x 17) / (2 x 3 x 5 x 5)
= ( 2 x 17)/( 5 x 5)
204/150 = 34/25

Hence,
204/150 in simplest form is 34/25.

Representing fraction 204/150 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 204/150 in its lowest terms.