423/384 Simplified

Learn how to find what is 423/384 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 423/384 in simplest form.

To reduce 423/384 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 423/384 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 423 and 384 is 3. Dividing both the numerator and denominator by GCF, the fraction 423/384 becomes 141/128 which is the simplest form.

423/384 Simplified as a Fraction
Using Factorization:
423/384 = (?)
423/384 = (3 x 3 x 47)/(2 x 2 x 2 x 2 x 2 x 2 x 2 x 3)      write 423/384 in terms of factors
= 141/128
423/384 = 141/128
423/384 simplified is 141/128

Using GCF
423/384 = (?)
GCF of 423 and 384 is 3.
423/384 = (423/3)/(384/3)
= 141/128
423/384 = 141/128
423/384 simplified is 141/128 in fraction form
where,
423/384 is the given fraction to be simplified,
141/128 is the lowest term of 423/384.

Notes: 423/384 simplified in lowest terms
1. 423/384 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 423 and 384 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 423/384 can be represented in its reduced form.
2. On the other hand, you can also reduce 423/384 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 423/384 becomes (3 x 3 x 47)/(2 x 2 x 2 x 2 x 2 x 2 x 2 x 3). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 423/384 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 423/384

what to be found:
423/384 = ?
Reduce 423/384 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 423/384.
Prime factors of 423 = 3 x 3 x 47

step 3 Find the prime factors of the denominator of given fraction 423/384.
Prime factors of 384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

step 4 Rewrite the fraction 423/384 in the form of prime factors as like the below:
423/384= (3 x 3 x 47) / (2 x 2 x 2 x 2 x 2 x 2 x 2 x 3)

step 5 Check and reduce the factors of 423 and 384 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 47) / (2 x 2 x 2 x 2 x 2 x 2 x 2 x 3)
= ( 3 x 47)/(2 x 2 x 2 x 2 x 2 x 2 x 2 )
423/384 = 141/128
Hence,
423/384 in simplest form is 141/128.

423/384 simplified is 141/128, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 423/384 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 423/384 in its lowest terms.