What is 480/606 simplified as a fraction?
480/606 in simplest form is 80/101.
Learn how to find what is 480/606 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 480/606 in simplest form.
To reduce 480/606 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 480/606 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 480 and 606 is 6. Dividing both the numerator and denominator by GCF, the fraction 480/606 becomes 80/101 which is the simplest form.
480/606 Simplified as a Fraction
Using Factorization:
480/606 = (?)
480/606 = (2 x 2 x 2 x 2 x 2 x 3 x 5)/(2 x 3 x 101) write 480/606 in terms of factors
= 80/101
480/606 = 80/101
480/606 simplified is 80/101
Using GCF
480/606 = (?)
GCF of 480 and 606 is 6.
480/606 = (480/6)/(606/6)
= 80/101
480/606 = 80/101
480/606 simplified is 80/101 in fraction form
where,
480/606 is the given fraction to be simplified,
80/101 is the lowest term of 480/606.
Notes: 480/606 simplified in lowest terms
1. 480/606 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 480 and 606 is 6 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 480/606 can be represented in its reduced form.
2. On the other hand, you can also reduce 480/606 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 480/606 becomes (2 x 2 x 2 x 2 x 2 x 3 x 5)/(2 x 3 x 101). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 480/606 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 480/606
what to be found:
480/606 = ?
Reduce 480/606 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 480/606.
Prime factors of 480 = 2 x 2 x 2 x 2 x 2 x 3 x 5
step 3 Find the prime factors of the denominator of given fraction 480/606.
Prime factors of 606 = 2 x 3 x 101
step 4 Rewrite the fraction 480/606 in the form of prime factors as like the below:
480/606= (2 x 2 x 2 x 2 x 2 x 3 x 5) / (2 x 3 x 101)
step 5 Check and reduce the factors of 480 and 606 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 2 x 3 x 5) / (2 x 3 x 101)
= ( 2 x 2 x 2 x 2 x 5)/( 101)
480/606 = 80/101
Hence,
480/606 in simplest form is 80/101.
480/606 simplified is 80/101, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 480/606 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 480/606 in its lowest terms.