693/945 Simplified

Learn how to find what is 693/945 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 693/945 in simplest form.

To reduce 693/945 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 693/945 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 693 and 945 is 63. Dividing both the numerator and denominator by GCF, the fraction 693/945 becomes 11/15 which is the simplest form.

693/945 Simplified as a Fraction
Using Factorization:
693/945 = (?)
693/945 = (3 x 3 x 7 x 11)/(3 x 3 x 3 x 5 x 7)      write 693/945 in terms of factors
= 11/15
693/945 = 11/15
693/945 simplified is 11/15

Using GCF
693/945 = (?)
GCF of 693 and 945 is 63.
693/945 = (693/63)/(945/63)
= 11/15
693/945 = 11/15
693/945 simplified is 11/15 in fraction form
where,
693/945 is the given fraction to be simplified,
11/15 is the lowest term of 693/945.

Notes: 693/945 simplified in lowest terms
1. 693/945 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 693 and 945 is 63 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 693/945 can be represented in its reduced form.
2. On the other hand, you can also reduce 693/945 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 693/945 becomes (3 x 3 x 7 x 11)/(3 x 3 x 3 x 5 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 693/945 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 693/945

what to be found:
693/945 = ?
Reduce 693/945 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 693/945.
Prime factors of 693 = 3 x 3 x 7 x 11

step 3 Find the prime factors of the denominator of given fraction 693/945.
Prime factors of 945 = 3 x 3 x 3 x 5 x 7

step 4 Rewrite the fraction 693/945 in the form of prime factors as like the below:
693/945= (3 x 3 x 7 x 11) / (3 x 3 x 3 x 5 x 7)

step 5 Check and reduce the factors of 693 and 945 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 7 x 11) / (3 x 3 x 3 x 5 x 7)
= ( 11)/( 3 x 5 )
693/945 = 11/15
Hence,
693/945 in simplest form is 11/15.

693/945 simplified is 11/15, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 693/945 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 693/945 in its lowest terms.