What is 456/1000 simplified as a fraction?
456/1000 in simplest form is 57/125.
Learn how to find what is 456/1000 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 456/1000 in simplest form.
To reduce 456/1000 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 456/1000 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 456 and 1000 is 8. Dividing both the numerator and denominator by GCF, the fraction 456/1000 becomes 57/125 which is the simplest form.
456/1000 Simplified as a Fraction
Using Factorization:
456/1000 = (?)
456/1000 = (2 x 2 x 2 x 3 x 19)/(2 x 2 x 2 x 5 x 5 x 5) write 456/1000 in terms of factors
= 57/125
456/1000 = 57/125
456/1000 simplified is 57/125
Using GCF
456/1000 = (?)
GCF of 456 and 1000 is 8.
456/1000 = (456/8)/(1000/8)
= 57/125
456/1000 = 57/125
456/1000 simplified is 57/125 in fraction form
where,
456/1000 is the given fraction to be simplified,
57/125 is the lowest term of 456/1000.
Notes: 456/1000 simplified in lowest terms
1. 456/1000 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 456 and 1000 is 8 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 456/1000 can be represented in its reduced form.
2. On the other hand, you can also reduce 456/1000 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 456/1000 becomes (2 x 2 x 2 x 3 x 19)/(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 456/1000 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 456/1000
what to be found:
456/1000 = ?
Reduce 456/1000 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 456/1000.
Prime factors of 456 = 2 x 2 x 2 x 3 x 19
step 3 Find the prime factors of the denominator of given fraction 456/1000.
Prime factors of 1000 = 2 x 2 x 2 x 5 x 5 x 5
step 4 Rewrite the fraction 456/1000 in the form of prime factors as like the below:
456/1000= (2 x 2 x 2 x 3 x 19) / (2 x 2 x 2 x 5 x 5 x 5)
step 5 Check and reduce the factors of 456 and 1000 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 19) / (2 x 2 x 2 x 5 x 5 x 5)
= ( 3 x 19)/( 5 x 5 x 5)
456/1000 = 57/125
Hence,
456/1000 in simplest form is 57/125.
456/1000 simplified is 57/125, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 456/1000 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 456/1000 in its lowest terms.