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