What is 204/100 simplified as a fraction?
204/100 in simplest form is 51/25.
Learn how to find what is 204/100 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 204/100 in simplest form.
To reduce 204/100 in its lowest terms, you must be familiar with either how to find the greatest common factor or prime factors. Both of these methods are used to recognize if 204/100 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 204 and 100 is 4. Dividing both the numerator and denominator by GCF, the fraction 204/100 becomes 51/25 which is the simplest form.
204/100 Simplified as a Fraction
Using Factorization:
204/100 = (?)
204/100 = (2 x 2 x 3 x 17)/(2 x 2 x 5 x 5) write 204/100 in terms of factors
= 51/25
204/100 = 51/25
204/100 simplified is 51/25
Using GCF
204/100 = (?)
GCF of 204 and 100 is 4.
204/100 = (204/4)/(100/4)
= 51/25
204/100 = 51/25
204/100 simplified is 51/25 in fraction form
where,
204/100 is the given fraction to be simplified,
51/25 is the lowest term of 204/100.
Notes: 204/100 simplified in lowest terms
1. 204/100 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 204 and 100 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 204/100 can be represented in its reduced form.
2. On the other hand, you can also reduce 204/100 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 204/100 becomes (2 x 2 x 3 x 17)/(2 x 2 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 204/100 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 204/100
what to be found:
204/100 = ?
Reduce 204/100 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 204/100.
Prime factors of 204 = 2 x 2 x 3 x 17
step 3 Find the prime factors of the denominator of given fraction 204/100.
Prime factors of 100 = 2 x 2 x 5 x 5
step 4 Rewrite the fraction 204/100 in the form of prime factors as like the below:
204/100= (2 x 2 x 3 x 17) / (2 x 2 x 5 x 5)
step 5 Check and reduce the factors of 204 and 100 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3 x 17) / (2 x 2 x 5 x 5)
= ( 3 x 17)/( 5 x 5)
204/100 = 51/25
Hence,
204/100 in simplest form is 51/25.
204/100 simplified is 51/25, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 204/100 to its simplest form involves the greatest common factor or factorization. Recognizing the GCF or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 204/100 in its lowest terms.