460/6 Simplified

Learn how to find what is 460/6 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 460/6 in simplest form.

To reduce 460/6 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 460/6 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 460 and 6 is 2. Dividing both the numerator and denominator by GCF, the fraction 460/6 becomes 230/3 which is the simplest form.

460/6 Simplified as a Fraction
Using Factorization:
460/6 = (?)
460/6 = (2 x 2 x 5 x 23)/(2 x 3)      write 460/6 in terms of factors
= 230/3
460/6 = 230/3
460/6 simplified is 230/3

Using GCF
460/6 = (?)
GCF of 460 and 6 is 2.
460/6 = (460/2)/(6/2)
= 230/3
460/6 = 230/3
460/6 simplified is 230/3 in fraction form
where,
460/6 is the given fraction to be simplified,
230/3 is the lowest term of 460/6.

Notes: 460/6 simplified in lowest terms
1. 460/6 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 460 and 6 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 460/6 can be represented in its reduced form.
2. On the other hand, you can also reduce 460/6 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 460/6 becomes (2 x 2 x 5 x 23)/(2 x 3). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 460/6 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 460/6

what to be found:
460/6 = ?
Reduce 460/6 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 460/6.
Prime factors of 460 = 2 x 2 x 5 x 23

step 3 Find the prime factors of the denominator of given fraction 460/6.
Prime factors of 6 = 2 x 3

step 4 Rewrite the fraction 460/6 in the form of prime factors as like the below:
460/6= (2 x 2 x 5 x 23) / (2 x 3)

step 5 Check and reduce the factors of 460 and 6 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 5 x 23) / (2 x 3)
= ( 2 x 5 x 23)/( 3)
460/6 = 230/3
Hence,
460/6 in simplest form is 230/3.

460/6 simplified is 230/3, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 460/6 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 460/6 in its lowest terms.