8/5 Simplified

Learn how to find what is 8/5 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 8/5 in simplest form.

To reduce 8/5 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 8/5 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 8 and 5 is 1. Dividing both the numerator and denominator by GCF, the fraction 8/5 becomes 8/5 which is the simplest form.

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

Using GCF
8/5 = (?)
GCF of 8 and 5 is 1.
8/5 = (8/1)/(5/1)
= 8/5
8/5 = 8/5
8/5 simplified is 8/5 in fraction form

Notes: 8/5 simplified in lowest terms
1. 8/5 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 8 and 5 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 8/5 can be represented in its reduced form.
2. On the other hand, you can also reduce 8/5 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 8/5 becomes (2 x 2 x 2)/(5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 8/5 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 8/5

what to be found:
8/5 = ?
Reduce 8/5 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 8/5.
Prime factors of 8 = 2 x 2 x 2

step 3 Find the prime factors of the denominator of given fraction 8/5.
Prime factors of 5 = 5

step 4 Rewrite the fraction 8/5 in the form of prime factors as like the below:
8/5= (2 x 2 x 2) / (5)

step 5 The given fraction 8/5 can't be simplified further, because the denominator 5 of the given fraction is a prime number and not the factor of numerator 8.
Hence,
8/5 simplest form is 8/5.
8/5 simplified is 8/5, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 8/5 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 8/5 in its lowest terms.