695/495 Simplified

Learn how to find what is 695/495 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 695/495 in simplest form.

To reduce 695/495 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 695/495 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 695 and 495 is 5. Dividing both the numerator and denominator by GCF, the fraction 695/495 becomes 139/99 which is the simplest form.

695/495 Simplified as a Fraction
Using Factorization:
695/495 = (?)
695/495 = (5 x 139)/(3 x 3 x 5 x 11)      write 695/495 in terms of factors
= 139/99
695/495 = 139/99
695/495 simplified is 139/99

Using GCF
695/495 = (?)
GCF of 695 and 495 is 5.
695/495 = (695/5)/(495/5)
= 139/99
695/495 = 139/99
695/495 simplified is 139/99 in fraction form
where,
695/495 is the given fraction to be simplified,
139/99 is the lowest term of 695/495.

Notes: 695/495 simplified in lowest terms
1. 695/495 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 695 and 495 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 695/495 can be represented in its reduced form.
2. On the other hand, you can also reduce 695/495 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 695/495 becomes (5 x 139)/(3 x 3 x 5 x 11). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 695/495 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 695/495

what to be found:
695/495 = ?
Reduce 695/495 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 695/495.
Prime factors of 695 = 5 x 139

step 3 Find the prime factors of the denominator of given fraction 695/495.
Prime factors of 495 = 3 x 3 x 5 x 11

step 4 Rewrite the fraction 695/495 in the form of prime factors as like the below:
695/495= (5 x 139) / (3 x 3 x 5 x 11)

step 5 Check and reduce the factors of 695 and 495 if any factors in the numerator and denominator cancel each other:
= (5 x 139) / (3 x 3 x 5 x 11)
= ( 139)/(3 x 3 x 11)
695/495 = 139/99
Hence,
695/495 in simplest form is 139/99.

695/495 simplified is 139/99, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 695/495 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 695/495 in its lowest terms.