18000/40000 Simplified

Learn how to find what is 18000/40000 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 18000/40000 in simplest form.

To simplify 18000/40000 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 18000/40000 can be reduced in simplest form. In this case, the greatest common divisor of 18000 and 40000 is 2000. Dividing both the numerator and denominator by GCD, the fraction 18000/40000 becomes 9/20 which is the simplest form.

Simplify 18000/40000 as a Fraction
Using Factorization:
18000/40000 = (?)
18000/40000 = (2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5)/(2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5)      //write 18000/40000 in terms of factors
= 9/20
18000/40000 = 9/20
18000/40000 simplified is 9/20

Using GCD:
18000/40000 = (?)
GCD of 18000 and 40000 is 2000.
18000/40000 = (18000/2000)/(40000/2000)
= 9/20
18000/40000 = 9/20
18000/40000 simplified is 9/20 in fraction form
where,
18000/40000 is the given fraction to be simplified,
9/20 is the lowest term of 18000/40000.

Notes: Simplify 18000/40000 in lowest terms
1. 18000/40000 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 18000 and 40000 is 2000 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 18000/40000 can be represented in its reduced form.
2. On the other hand, you can also reduce 18000/40000 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 18000/40000 becomes (2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5)/(2 x 2 x 2 x 2 x 2 x 2 x 5 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 18000/40000 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 18000/40000

what to be found:
18000/40000 = ?
Simplify 18000/40000 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 18000/40000.
Prime factors of 18000 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 18000/40000.
Prime factors of 40000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5

step 4 Rewrite the fraction 18000/40000 in the form of prime factors as like the below:
18000/40000= (2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5) / (2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5)

step 5 Check and reduce the factors of 18000 and 40000 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5) / (2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5)
= ( 3 x 3 )/( 2 x 2 x 5)
18000/40000 = 9/20

Hence,
18000/40000 in simplest form is 9/20.

Representing fraction 18000/40000 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 18000/40000 in its lowest terms.