693/942 Simplified

Learn how to find what is 693/942 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 693/942 in simplest form.

To reduce 693/942 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 693/942 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 693 and 942 is 3. Dividing both the numerator and denominator by GCF, the fraction 693/942 becomes 231/314 which is the simplest form.

693/942 Simplified as a Fraction
Using Factorization:
693/942 = (?)
693/942 = (3 x 3 x 7 x 11)/(2 x 3 x 157)      write 693/942 in terms of factors
= 231/314
693/942 = 231/314
693/942 simplified is 231/314

Using GCF
693/942 = (?)
GCF of 693 and 942 is 3.
693/942 = (693/3)/(942/3)
= 231/314
693/942 = 231/314
693/942 simplified is 231/314 in fraction form
where,
693/942 is the given fraction to be simplified,
231/314 is the lowest term of 693/942.

Notes: 693/942 simplified in lowest terms
1. 693/942 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 693 and 942 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 693/942 can be represented in its reduced form.
2. On the other hand, you can also reduce 693/942 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 693/942 becomes (3 x 3 x 7 x 11)/(2 x 3 x 157). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 693/942 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 693/942

what to be found:
693/942 = ?
Reduce 693/942 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 693/942.
Prime factors of 693 = 3 x 3 x 7 x 11

step 3 Find the prime factors of the denominator of given fraction 693/942.
Prime factors of 942 = 2 x 3 x 157

step 4 Rewrite the fraction 693/942 in the form of prime factors as like the below:
693/942= (3 x 3 x 7 x 11) / (2 x 3 x 157)

step 5 Check and reduce the factors of 693 and 942 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 7 x 11) / (2 x 3 x 157)
= ( 3 x 7 x 11)/(2 x 157)
693/942 = 231/314
Hence,
693/942 in simplest form is 231/314.

693/942 simplified is 231/314, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 693/942 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 693/942 in its lowest terms.