693/975 Simplified

Learn how to find what is 693/975 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 693/975 in simplest form.

To reduce 693/975 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 693/975 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 693 and 975 is 3. Dividing both the numerator and denominator by GCF, the fraction 693/975 becomes 231/325 which is the simplest form.

693/975 Simplified as a Fraction
Using Factorization:
693/975 = (?)
693/975 = (3 x 3 x 7 x 11)/(3 x 5 x 5 x 13)      write 693/975 in terms of factors
= 231/325
693/975 = 231/325
693/975 simplified is 231/325

Using GCF
693/975 = (?)
GCF of 693 and 975 is 3.
693/975 = (693/3)/(975/3)
= 231/325
693/975 = 231/325
693/975 simplified is 231/325 in fraction form
where,
693/975 is the given fraction to be simplified,
231/325 is the lowest term of 693/975.

Notes: 693/975 simplified in lowest terms
1. 693/975 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 693 and 975 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 693/975 can be represented in its reduced form.
2. On the other hand, you can also reduce 693/975 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 693/975 becomes (3 x 3 x 7 x 11)/(3 x 5 x 5 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 693/975 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 693/975

what to be found:
693/975 = ?
Reduce 693/975 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 693/975.
Prime factors of 693 = 3 x 3 x 7 x 11

step 3 Find the prime factors of the denominator of given fraction 693/975.
Prime factors of 975 = 3 x 5 x 5 x 13

step 4 Rewrite the fraction 693/975 in the form of prime factors as like the below:
693/975= (3 x 3 x 7 x 11) / (3 x 5 x 5 x 13)

step 5 Check and reduce the factors of 693 and 975 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 7 x 11) / (3 x 5 x 5 x 13)
= ( 3 x 7 x 11)/( 5 x 5 x 13)
693/975 = 231/325
Hence,
693/975 in simplest form is 231/325.

693/975 simplified is 231/325, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 693/975 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 693/975 in its lowest terms.