What is 504/496 simplified as a fraction?
504/496 in simplest form is 63/62.
Learn how to find what is 504/496 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 504/496 in simplest form.
To reduce 504/496 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 504/496 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 504 and 496 is 8. Dividing both the numerator and denominator by GCF, the fraction 504/496 becomes 63/62 which is the simplest form.
504/496 Simplified as a Fraction
Using Factorization:
504/496 = (?)
504/496 = (2 x 2 x 2 x 3 x 3 x 7)/(2 x 2 x 2 x 2 x 31) write 504/496 in terms of factors
= 63/62
504/496 = 63/62
504/496 simplified is 63/62
Using GCF
504/496 = (?)
GCF of 504 and 496 is 8.
504/496 = (504/8)/(496/8)
= 63/62
504/496 = 63/62
504/496 simplified is 63/62 in fraction form
where,
504/496 is the given fraction to be simplified,
63/62 is the lowest term of 504/496.
Notes: 504/496 simplified in lowest terms
1. 504/496 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 504 and 496 is 8 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 504/496 can be represented in its reduced form.
2. On the other hand, you can also reduce 504/496 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 504/496 becomes (2 x 2 x 2 x 3 x 3 x 7)/(2 x 2 x 2 x 2 x 31). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 504/496 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 504/496
what to be found:
504/496 = ?
Reduce 504/496 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 504/496.
Prime factors of 504 = 2 x 2 x 2 x 3 x 3 x 7
step 3 Find the prime factors of the denominator of given fraction 504/496.
Prime factors of 496 = 2 x 2 x 2 x 2 x 31
step 4 Rewrite the fraction 504/496 in the form of prime factors as like the below:
504/496= (2 x 2 x 2 x 3 x 3 x 7) / (2 x 2 x 2 x 2 x 31)
step 5 Check and reduce the factors of 504 and 496 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 3 x 7) / (2 x 2 x 2 x 2 x 31)
= ( 3 x 3 x 7)/( 2 x 31)
504/496 = 63/62
Hence,
504/496 in simplest form is 63/62.
504/496 simplified is 63/62, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 504/496 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 504/496 in its lowest terms.