164/8 Simplified

Learn how to find what is 164/8 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 164/8 in simplest form.

To reduce 164/8 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 164/8 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 164 and 8 is 4. Dividing both the numerator and denominator by GCF, the fraction 164/8 becomes 41/2 which is the simplest form.

164/8 Simplified as a Fraction
Using Factorization:
164/8 = (?)
164/8 = (2 x 2 x 41)/(2 x 2 x 2)      write 164/8 in terms of factors
= 41/2
164/8 = 41/2
164/8 simplified is 41/2

Using GCF
164/8 = (?)
GCF of 164 and 8 is 4.
164/8 = (164/4)/(8/4)
= 41/2
164/8 = 41/2
164/8 simplified is 41/2 in fraction form
where,
164/8 is the given fraction to be simplified,
41/2 is the lowest term of 164/8.

Notes: 164/8 simplified in lowest terms
1. 164/8 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 164 and 8 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 164/8 can be represented in its reduced form.
2. On the other hand, you can also reduce 164/8 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 164/8 becomes (2 x 2 x 41)/(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 164/8 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 164/8

what to be found:
164/8 = ?
Reduce 164/8 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 164/8.
Prime factors of 164 = 2 x 2 x 41

step 3 Find the prime factors of the denominator of given fraction 164/8.
Prime factors of 8 = 2 x 2 x 2

step 4 Rewrite the fraction 164/8 in the form of prime factors as like the below:
164/8= (2 x 2 x 41) / (2 x 2 x 2)

step 5 Check and reduce the factors of 164 and 8 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 41) / (2 x 2 x 2)
= ( 41)/( 2)
164/8 = 41/2
Hence,
164/8 in simplest form is 41/2.

164/8 simplified is 41/2, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 164/8 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 164/8 in its lowest terms.