690/975 Simplified

Learn how to find what is 690/975 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 690/975 in simplest form.

To reduce 690/975 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 690/975 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 690 and 975 is 15. Dividing both the numerator and denominator by GCF, the fraction 690/975 becomes 46/65 which is the simplest form.

690/975 Simplified as a Fraction
Using Factorization:
690/975 = (?)
690/975 = (2 x 3 x 5 x 23)/(3 x 5 x 5 x 13)      write 690/975 in terms of factors
= 46/65
690/975 = 46/65
690/975 simplified is 46/65

Using GCF
690/975 = (?)
GCF of 690 and 975 is 15.
690/975 = (690/15)/(975/15)
= 46/65
690/975 = 46/65
690/975 simplified is 46/65 in fraction form
where,
690/975 is the given fraction to be simplified,
46/65 is the lowest term of 690/975.

Notes: 690/975 simplified in lowest terms
1. 690/975 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 690 and 975 is 15 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 690/975 can be represented in its reduced form.
2. On the other hand, you can also reduce 690/975 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 690/975 becomes (2 x 3 x 5 x 23)/(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 690/975 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 690/975

what to be found:
690/975 = ?
Reduce 690/975 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 690/975.
Prime factors of 690 = 2 x 3 x 5 x 23

step 3 Find the prime factors of the denominator of given fraction 690/975.
Prime factors of 975 = 3 x 5 x 5 x 13

step 4 Rewrite the fraction 690/975 in the form of prime factors as like the below:
690/975= (2 x 3 x 5 x 23) / (3 x 5 x 5 x 13)

step 5 Check and reduce the factors of 690 and 975 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 5 x 23) / (3 x 5 x 5 x 13)
= (2 x 23)/( 5 x 13)
690/975 = 46/65
Hence,
690/975 in simplest form is 46/65.

690/975 simplified is 46/65, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 690/975 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 690/975 in its lowest terms.