395/625 Simplified

Learn how to find what is 395/625 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 395/625 in simplest form.

To reduce 395/625 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 395/625 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 395 and 625 is 5. Dividing both the numerator and denominator by GCF, the fraction 395/625 becomes 79/125 which is the simplest form.

395/625 Simplified as a Fraction
Using Factorization:
395/625 = (?)
395/625 = (5 x 79)/(5 x 5 x 5 x 5)      write 395/625 in terms of factors
= 79/125
395/625 = 79/125
395/625 simplified is 79/125

Using GCF
395/625 = (?)
GCF of 395 and 625 is 5.
395/625 = (395/5)/(625/5)
= 79/125
395/625 = 79/125
395/625 simplified is 79/125 in fraction form
where,
395/625 is the given fraction to be simplified,
79/125 is the lowest term of 395/625.

Notes: 395/625 simplified in lowest terms
1. 395/625 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 395 and 625 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 395/625 can be represented in its reduced form.
2. On the other hand, you can also reduce 395/625 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 395/625 becomes (5 x 79)/(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 395/625 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 395/625

what to be found:
395/625 = ?
Reduce 395/625 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 395/625.
Prime factors of 395 = 5 x 79

step 3 Find the prime factors of the denominator of given fraction 395/625.
Prime factors of 625 = 5 x 5 x 5 x 5

step 4 Rewrite the fraction 395/625 in the form of prime factors as like the below:
395/625= (5 x 79) / (5 x 5 x 5 x 5)

step 5 Check and reduce the factors of 395 and 625 if any factors in the numerator and denominator cancel each other:
= (5 x 79) / (5 x 5 x 5 x 5)
= ( 79)/( 5 x 5 x 5)
395/625 = 79/125
Hence,
395/625 in simplest form is 79/125.

395/625 simplified is 79/125, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 395/625 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 395/625 in its lowest terms.