675/965 Simplified

Learn how to find what is 675/965 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 675/965 in simplest form.

To reduce 675/965 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 675/965 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 675 and 965 is 5. Dividing both the numerator and denominator by GCF, the fraction 675/965 becomes 135/193 which is the simplest form.

675/965 Simplified as a Fraction
Using Factorization:
675/965 = (?)
675/965 = (3 x 3 x 3 x 5 x 5)/(5 x 193)      write 675/965 in terms of factors
= 135/193
675/965 = 135/193
675/965 simplified is 135/193

Using GCF
675/965 = (?)
GCF of 675 and 965 is 5.
675/965 = (675/5)/(965/5)
= 135/193
675/965 = 135/193
675/965 simplified is 135/193 in fraction form
where,
675/965 is the given fraction to be simplified,
135/193 is the lowest term of 675/965.

Notes: 675/965 simplified in lowest terms
1. 675/965 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 675 and 965 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 675/965 can be represented in its reduced form.
2. On the other hand, you can also reduce 675/965 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 675/965 becomes (3 x 3 x 3 x 5 x 5)/(5 x 193). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 675/965 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 675/965

what to be found:
675/965 = ?
Reduce 675/965 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 675/965.
Prime factors of 675 = 3 x 3 x 3 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 675/965.
Prime factors of 965 = 5 x 193

step 4 Rewrite the fraction 675/965 in the form of prime factors as like the below:
675/965= (3 x 3 x 3 x 5 x 5) / (5 x 193)

step 5 Check and reduce the factors of 675 and 965 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 3 x 5 x 5) / (5 x 193)
= (3 x 3 x 3 x 5)/( 193)
675/965 = 135/193
Hence,
675/965 in simplest form is 135/193.

675/965 simplified is 135/193, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 675/965 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 675/965 in its lowest terms.