396/408 Simplified

Learn how to find what is 396/408 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 396/408 in simplest form.

To reduce 396/408 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 396/408 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 396 and 408 is 12. Dividing both the numerator and denominator by GCF, the fraction 396/408 becomes 33/34 which is the simplest form.

396/408 Simplified as a Fraction
Using Factorization:
396/408 = (?)
396/408 = (2 x 2 x 3 x 3 x 11)/(2 x 2 x 2 x 3 x 17)      write 396/408 in terms of factors
= 33/34
396/408 = 33/34
396/408 simplified is 33/34

Using GCF
396/408 = (?)
GCF of 396 and 408 is 12.
396/408 = (396/12)/(408/12)
= 33/34
396/408 = 33/34
396/408 simplified is 33/34 in fraction form
where,
396/408 is the given fraction to be simplified,
33/34 is the lowest term of 396/408.

Notes: 396/408 simplified in lowest terms
1. 396/408 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 396 and 408 is 12 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 396/408 can be represented in its reduced form.
2. On the other hand, you can also reduce 396/408 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 396/408 becomes (2 x 2 x 3 x 3 x 11)/(2 x 2 x 2 x 3 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 396/408 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 396/408

what to be found:
396/408 = ?
Reduce 396/408 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 396/408.
Prime factors of 396 = 2 x 2 x 3 x 3 x 11

step 3 Find the prime factors of the denominator of given fraction 396/408.
Prime factors of 408 = 2 x 2 x 2 x 3 x 17

step 4 Rewrite the fraction 396/408 in the form of prime factors as like the below:
396/408= (2 x 2 x 3 x 3 x 11) / (2 x 2 x 2 x 3 x 17)

step 5 Check and reduce the factors of 396 and 408 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3 x 3 x 11) / (2 x 2 x 2 x 3 x 17)
= ( 3 x 11)/( 2 x 17)
396/408 = 33/34
Hence,
396/408 in simplest form is 33/34.

396/408 simplified is 33/34, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 396/408 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 396/408 in its lowest terms.