675/867 Simplified

Learn how to find what is 675/867 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 675/867 in simplest form.

To reduce 675/867 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 675/867 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 675 and 867 is 3. Dividing both the numerator and denominator by GCF, the fraction 675/867 becomes 225/289 which is the simplest form.

675/867 Simplified as a Fraction
Using Factorization:
675/867 = (?)
675/867 = (3 x 3 x 3 x 5 x 5)/(3 x 17 x 17)      write 675/867 in terms of factors
= 225/289
675/867 = 225/289
675/867 simplified is 225/289

Using GCF
675/867 = (?)
GCF of 675 and 867 is 3.
675/867 = (675/3)/(867/3)
= 225/289
675/867 = 225/289
675/867 simplified is 225/289 in fraction form
where,
675/867 is the given fraction to be simplified,
225/289 is the lowest term of 675/867.

Notes: 675/867 simplified in lowest terms
1. 675/867 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 675 and 867 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 675/867 can be represented in its reduced form.
2. On the other hand, you can also reduce 675/867 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 675/867 becomes (3 x 3 x 3 x 5 x 5)/(3 x 17 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 675/867 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 675/867

what to be found:
675/867 = ?
Reduce 675/867 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 675/867.
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 675/867.
Prime factors of 867 = 3 x 17 x 17

step 4 Rewrite the fraction 675/867 in the form of prime factors as like the below:
675/867= (3 x 3 x 3 x 5 x 5) / (3 x 17 x 17)

step 5 Check and reduce the factors of 675 and 867 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 3 x 5 x 5) / (3 x 17 x 17)
= ( 3 x 3 x 5 x 5)/( 17 x 17)
675/867 = 225/289
Hence,
675/867 in simplest form is 225/289.

675/867 simplified is 225/289, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 675/867 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 675/867 in its lowest terms.