675/625 Simplified

Learn how to find what is 675/625 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 675/625 in simplest form.

To reduce 675/625 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 675/625 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 675 and 625 is 25. Dividing both the numerator and denominator by GCF, the fraction 675/625 becomes 27/25 which is the simplest form.

675/625 Simplified as a Fraction
Using Factorization:
675/625 = (?)
675/625 = (3 x 3 x 3 x 5 x 5)/(5 x 5 x 5 x 5)      write 675/625 in terms of factors
= 27/25
675/625 = 27/25
675/625 simplified is 27/25

Using GCF
675/625 = (?)
GCF of 675 and 625 is 25.
675/625 = (675/25)/(625/25)
= 27/25
675/625 = 27/25
675/625 simplified is 27/25 in fraction form
where,
675/625 is the given fraction to be simplified,
27/25 is the lowest term of 675/625.

Notes: 675/625 simplified in lowest terms
1. 675/625 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 675 and 625 is 25 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 675/625 can be represented in its reduced form.
2. On the other hand, you can also reduce 675/625 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 675/625 becomes (3 x 3 x 3 x 5 x 5)/(5 x 5 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 675/625 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 675/625

what to be found:
675/625 = ?
Reduce 675/625 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 675/625.
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 675/625.
Prime factors of 625 = 5 x 5 x 5 x 5

step 4 Rewrite the fraction 675/625 in the form of prime factors as like the below:
675/625= (3 x 3 x 3 x 5 x 5) / (5 x 5 x 5 x 5)

step 5 Check and reduce the factors of 675 and 625 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 3 x 5 x 5) / (5 x 5 x 5 x 5)
= (3 x 3 x 3 )/( 5 x 5)
675/625 = 27/25
Hence,
675/625 in simplest form is 27/25.

675/625 simplified is 27/25, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 675/625 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 675/625 in its lowest terms.