What is 254/1000 simplified as a fraction?
254/1000 in simplest form is 127/500.
Learn how to find what is 254/1000 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 254/1000 in simplest form.
To reduce 254/1000 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 254/1000 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 254 and 1000 is 2. Dividing both the numerator and denominator by GCF, the fraction 254/1000 becomes 127/500 which is the simplest form.
254/1000 Simplified as a Fraction
Using Factorization:
254/1000 = (?)
254/1000 = (2 x 127)/(2 x 2 x 2 x 5 x 5 x 5) write 254/1000 in terms of factors
= 127/500
254/1000 = 127/500
254/1000 simplified is 127/500
Using GCF
254/1000 = (?)
GCF of 254 and 1000 is 2.
254/1000 = (254/2)/(1000/2)
= 127/500
254/1000 = 127/500
254/1000 simplified is 127/500 in fraction form
where,
254/1000 is the given fraction to be simplified,
127/500 is the lowest term of 254/1000.
Notes: 254/1000 simplified in lowest terms
1. 254/1000 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 254 and 1000 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 254/1000 can be represented in its reduced form.
2. On the other hand, you can also reduce 254/1000 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 254/1000 becomes (2 x 127)/(2 x 2 x 2 x 5 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 254/1000 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 254/1000
what to be found:
254/1000 = ?
Reduce 254/1000 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 254/1000.
Prime factors of 254 = 2 x 127
step 3 Find the prime factors of the denominator of given fraction 254/1000.
Prime factors of 1000 = 2 x 2 x 2 x 5 x 5 x 5
step 4 Rewrite the fraction 254/1000 in the form of prime factors as like the below:
254/1000= (2 x 127) / (2 x 2 x 2 x 5 x 5 x 5)
step 5 Check and reduce the factors of 254 and 1000 if any factors in the numerator and denominator cancel each other:
= (2 x 127) / (2 x 2 x 2 x 5 x 5 x 5)
= ( 127)/( 2 x 2 x 5 x 5 x 5)
254/1000 = 127/500
Hence,
254/1000 in simplest form is 127/500.
254/1000 simplified is 127/500, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 254/1000 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 254/1000 in its lowest terms.