424/510 Simplified

Learn how to find what is 424/510 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 424/510 in simplest form.

To reduce 424/510 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 424/510 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 424 and 510 is 2. Dividing both the numerator and denominator by GCF, the fraction 424/510 becomes 212/255 which is the simplest form.

424/510 Simplified as a Fraction
Using Factorization:
424/510 = (?)
424/510 = (2 x 2 x 2 x 53)/(2 x 3 x 5 x 17)      write 424/510 in terms of factors
= 212/255
424/510 = 212/255
424/510 simplified is 212/255

Using GCF
424/510 = (?)
GCF of 424 and 510 is 2.
424/510 = (424/2)/(510/2)
= 212/255
424/510 = 212/255
424/510 simplified is 212/255 in fraction form
where,
424/510 is the given fraction to be simplified,
212/255 is the lowest term of 424/510.

Notes: 424/510 simplified in lowest terms
1. 424/510 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 424 and 510 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 424/510 can be represented in its reduced form.
2. On the other hand, you can also reduce 424/510 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 424/510 becomes (2 x 2 x 2 x 53)/(2 x 3 x 5 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 424/510 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 424/510

what to be found:
424/510 = ?
Reduce 424/510 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 424/510.
Prime factors of 424 = 2 x 2 x 2 x 53

step 3 Find the prime factors of the denominator of given fraction 424/510.
Prime factors of 510 = 2 x 3 x 5 x 17

step 4 Rewrite the fraction 424/510 in the form of prime factors as like the below:
424/510= (2 x 2 x 2 x 53) / (2 x 3 x 5 x 17)

step 5 Check and reduce the factors of 424 and 510 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 53) / (2 x 3 x 5 x 17)
= ( 2 x 2 x 53)/( 3 x 5 x 17)
424/510 = 212/255
Hence,
424/510 in simplest form is 212/255.

424/510 simplified is 212/255, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 424/510 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 424/510 in its lowest terms.