8/32 Simplified

Learn how to find what is 8/32 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 8/32 in simplest form.

To reduce 8/32 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 8/32 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 8 and 32 is 8. Dividing both the numerator and denominator by GCF, the fraction 8/32 becomes 1/4 which is the simplest form.

8/32 Simplified as a Fraction
Using Factorization:
8/32 = (?)
8/32 = (2 x 2 x 2)/(2 x 2 x 2 x 2 x 2)      write 8/32 in terms of factors
= 1/4
8/32 = 1/4
8/32 simplified is 1/4

Using GCF
8/32 = (?)
GCF of 8 and 32 is 8.
8/32 = (8/8)/(32/8)
= 1/4
8/32 = 1/4
8/32 simplified is 1/4 in fraction form
where,
8/32 is the given fraction to be simplified,
1/4 is the lowest term of 8/32.

Notes: 8/32 simplified in lowest terms
1. 8/32 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 8 and 32 is 8 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 8/32 can be represented in its reduced form.
2. On the other hand, you can also reduce 8/32 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 8/32 becomes (2 x 2 x 2)/(2 x 2 x 2 x 2 x 2). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 8/32 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 8/32

what to be found:
8/32 = ?
Reduce 8/32 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 8/32.
Prime factors of 8 = 2 x 2 x 2

step 3 Find the prime factors of the denominator of given fraction 8/32.
Prime factors of 32 = 2 x 2 x 2 x 2 x 2

step 4 Rewrite the fraction 8/32 in the form of prime factors as like the below:
8/32= (2 x 2 x 2) / (2 x 2 x 2 x 2 x 2)

step 5 Check and reduce the factors of 8 and 32 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2) / (2 x 2 x 2 x 2 x 2)
= (1)/( 2 x 2)
8/32 = 1/4
Hence,
8/32 in simplest form is 1/4.

8/32 simplified is 1/4, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 8/32 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 8/32 in its lowest terms.