What is 255/4165 simplified as a fraction?
255/4165 in simplest form is 3/49.
Learn how to find what is 255/4165 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 255/4165 in simplest form.
To reduce 255/4165 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 255/4165 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 255 and 4165 is 85. Dividing both the numerator and denominator by GCF, the fraction 255/4165 becomes 3/49 which is the simplest form.
255/4165 Simplified as a Fraction
Using Factorization:
255/4165 = (?)
255/4165 = (3 x 5 x 17)/(5 x 7 x 7 x 17) write 255/4165 in terms of factors
= 3/49
255/4165 = 3/49
255/4165 simplified is 3/49
Using GCF
255/4165 = (?)
GCF of 255 and 4165 is 85.
255/4165 = (255/85)/(4165/85)
= 3/49
255/4165 = 3/49
255/4165 simplified is 3/49 in fraction form
where,
255/4165 is the given fraction to be simplified,
3/49 is the lowest term of 255/4165.
Notes: 255/4165 simplified in lowest terms
1. 255/4165 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 255 and 4165 is 85 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 255/4165 can be represented in its reduced form.
2. On the other hand, you can also reduce 255/4165 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 255/4165 becomes (3 x 5 x 17)/(5 x 7 x 7 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 255/4165 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 255/4165
what to be found:
255/4165 = ?
Reduce 255/4165 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 255/4165.
Prime factors of 255 = 3 x 5 x 17
step 3 Find the prime factors of the denominator of given fraction 255/4165.
Prime factors of 4165 = 5 x 7 x 7 x 17
step 4 Rewrite the fraction 255/4165 in the form of prime factors as like the below:
255/4165= (3 x 5 x 17) / (5 x 7 x 7 x 17)
step 5 Check and reduce the factors of 255 and 4165 if any factors in the numerator and denominator cancel each other:
= (3 x 5 x 17) / (5 x 7 x 7 x 17)
= (3 )/( 7 x 7 )
255/4165 = 3/49
Hence,
255/4165 in simplest form is 3/49.
255/4165 simplified is 3/49, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 255/4165 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 255/4165 in its lowest terms.