395/632 Simplified

Learn how to find what is 395/632 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 395/632 in simplest form.

To reduce 395/632 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 395/632 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 395 and 632 is 79. Dividing both the numerator and denominator by GCF, the fraction 395/632 becomes 5/8 which is the simplest form.

395/632 Simplified as a Fraction
Using Factorization:
395/632 = (?)
395/632 = (5 x 79)/(2 x 2 x 2 x 79)      write 395/632 in terms of factors
= 5/8
395/632 = 5/8
395/632 simplified is 5/8

Using GCF
395/632 = (?)
GCF of 395 and 632 is 79.
395/632 = (395/79)/(632/79)
= 5/8
395/632 = 5/8
395/632 simplified is 5/8 in fraction form
where,
395/632 is the given fraction to be simplified,
5/8 is the lowest term of 395/632.

Notes: 395/632 simplified in lowest terms
1. 395/632 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 395 and 632 is 79 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 395/632 can be represented in its reduced form.
2. On the other hand, you can also reduce 395/632 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 395/632 becomes (5 x 79)/(2 x 2 x 2 x 79). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 395/632 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 395/632

what to be found:
395/632 = ?
Reduce 395/632 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 395/632.
Prime factors of 395 = 5 x 79

step 3 Find the prime factors of the denominator of given fraction 395/632.
Prime factors of 632 = 2 x 2 x 2 x 79

step 4 Rewrite the fraction 395/632 in the form of prime factors as like the below:
395/632= (5 x 79) / (2 x 2 x 2 x 79)

step 5 Check and reduce the factors of 395 and 632 if any factors in the numerator and denominator cancel each other:
= (5 x 79) / (2 x 2 x 2 x 79)
= (5 )/(2 x 2 x 2 )
395/632 = 5/8
Hence,
395/632 in simplest form is 5/8.

395/632 simplified is 5/8, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 395/632 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 395/632 in its lowest terms.