696/384 Simplified

Learn how to find what is 696/384 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 696/384 in simplest form.

To reduce 696/384 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 696/384 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 696 and 384 is 24. Dividing both the numerator and denominator by GCF, the fraction 696/384 becomes 29/16 which is the simplest form.

696/384 Simplified as a Fraction
Using Factorization:
696/384 = (?)
696/384 = (2 x 2 x 2 x 3 x 29)/(2 x 2 x 2 x 2 x 2 x 2 x 2 x 3)      write 696/384 in terms of factors
= 29/16
696/384 = 29/16
696/384 simplified is 29/16

Using GCF
696/384 = (?)
GCF of 696 and 384 is 24.
696/384 = (696/24)/(384/24)
= 29/16
696/384 = 29/16
696/384 simplified is 29/16 in fraction form
where,
696/384 is the given fraction to be simplified,
29/16 is the lowest term of 696/384.

Notes: 696/384 simplified in lowest terms
1. 696/384 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 696 and 384 is 24 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 696/384 can be represented in its reduced form.
2. On the other hand, you can also reduce 696/384 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 696/384 becomes (2 x 2 x 2 x 3 x 29)/(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 696/384 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 696/384

what to be found:
696/384 = ?
Reduce 696/384 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 696/384.
Prime factors of 696 = 2 x 2 x 2 x 3 x 29

step 3 Find the prime factors of the denominator of given fraction 696/384.
Prime factors of 384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

step 4 Rewrite the fraction 696/384 in the form of prime factors as like the below:
696/384= (2 x 2 x 2 x 3 x 29) / (2 x 2 x 2 x 2 x 2 x 2 x 2 x 3)

step 5 Check and reduce the factors of 696 and 384 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 29) / (2 x 2 x 2 x 2 x 2 x 2 x 2 x 3)
= ( 29)/( 2 x 2 x 2 x 2 )
696/384 = 29/16
Hence,
696/384 in simplest form is 29/16.

696/384 simplified is 29/16, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 696/384 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 696/384 in its lowest terms.