What is 455/50 simplified as a fraction?
455/50 in simplest form is 91/10.
Learn how to find what is 455/50 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 455/50 in simplest form.
To reduce 455/50 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 455/50 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 455 and 50 is 5. Dividing both the numerator and denominator by GCF, the fraction 455/50 becomes 91/10 which is the simplest form.
455/50 Simplified as a Fraction
Using Factorization:
455/50 = (?)
455/50 = (5 x 7 x 13)/(2 x 5 x 5) write 455/50 in terms of factors
= 91/10
455/50 = 91/10
455/50 simplified is 91/10
Using GCF
455/50 = (?)
GCF of 455 and 50 is 5.
455/50 = (455/5)/(50/5)
= 91/10
455/50 = 91/10
455/50 simplified is 91/10 in fraction form
where,
455/50 is the given fraction to be simplified,
91/10 is the lowest term of 455/50.
Notes: 455/50 simplified in lowest terms
1. 455/50 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 455 and 50 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 455/50 can be represented in its reduced form.
2. On the other hand, you can also reduce 455/50 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 455/50 becomes (5 x 7 x 13)/(2 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 455/50 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 455/50
what to be found:
455/50 = ?
Reduce 455/50 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 455/50.
Prime factors of 455 = 5 x 7 x 13
step 3 Find the prime factors of the denominator of given fraction 455/50.
Prime factors of 50 = 2 x 5 x 5
step 4 Rewrite the fraction 455/50 in the form of prime factors as like the below:
455/50= (5 x 7 x 13) / (2 x 5 x 5)
step 5 Check and reduce the factors of 455 and 50 if any factors in the numerator and denominator cancel each other:
= (5 x 7 x 13) / (2 x 5 x 5)
= ( 7 x 13)/(2 x 5)
455/50 = 91/10
Hence,
455/50 in simplest form is 91/10.
455/50 simplified is 91/10, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 455/50 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 455/50 in its lowest terms.