What is 670/164 simplified as a fraction?
670/164 in simplest form is 335/82.
Learn how to find what is 670/164 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 670/164 in simplest form.
To reduce 670/164 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 670/164 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 670 and 164 is 2. Dividing both the numerator and denominator by GCF, the fraction 670/164 becomes 335/82 which is the simplest form.
670/164 Simplified as a Fraction
Using Factorization:
670/164 = (?)
670/164 = (2 x 5 x 67)/(2 x 2 x 41) write 670/164 in terms of factors
= 335/82
670/164 = 335/82
670/164 simplified is 335/82
Using GCF
670/164 = (?)
GCF of 670 and 164 is 2.
670/164 = (670/2)/(164/2)
= 335/82
670/164 = 335/82
670/164 simplified is 335/82 in fraction form
where,
670/164 is the given fraction to be simplified,
335/82 is the lowest term of 670/164.
Notes: 670/164 simplified in lowest terms
1. 670/164 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 670 and 164 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 670/164 can be represented in its reduced form.
2. On the other hand, you can also reduce 670/164 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 670/164 becomes (2 x 5 x 67)/(2 x 2 x 41). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 670/164 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 670/164
what to be found:
670/164 = ?
Reduce 670/164 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 670/164.
Prime factors of 670 = 2 x 5 x 67
step 3 Find the prime factors of the denominator of given fraction 670/164.
Prime factors of 164 = 2 x 2 x 41
step 4 Rewrite the fraction 670/164 in the form of prime factors as like the below:
670/164= (2 x 5 x 67) / (2 x 2 x 41)
step 5 Check and reduce the factors of 670 and 164 if any factors in the numerator and denominator cancel each other:
= (2 x 5 x 67) / (2 x 2 x 41)
= ( 5 x 67)/( 2 x 41)
670/164 = 335/82
Hence,
670/164 in simplest form is 335/82.
670/164 simplified is 335/82, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 670/164 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 670/164 in its lowest terms.