18000000/1380000000 Simplified

Learn how to find what is 18000000/1380000000 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 18000000/1380000000 in simplest form.

To simplify 18000000/1380000000 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 18000000/1380000000 can be reduced in simplest form. In this case, the greatest common divisor of 18000000 and 1380000000 is 6000000. Dividing both the numerator and denominator by GCD, the fraction 18000000/1380000000 becomes 3/230 which is the simplest form.

Simplify 18000000/1380000000 as a Fraction
Using Factorization:
18000000/1380000000 = (?)
18000000/1380000000 = (2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 x 5 x 5)/(2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 23)      //write 18000000/1380000000 in terms of factors
= 3/230
18000000/1380000000 = 3/230
18000000/1380000000 simplified is 3/230

Using GCD:
18000000/1380000000 = (?)
GCD of 18000000 and 1380000000 is 6000000.
18000000/1380000000 = (18000000/6000000)/(1380000000/6000000)
= 3/230
18000000/1380000000 = 3/230
18000000/1380000000 simplified is 3/230 in fraction form
where,
18000000/1380000000 is the given fraction to be simplified,
3/230 is the lowest term of 18000000/1380000000.

Notes: Simplify 18000000/1380000000 in lowest terms
1. 18000000/1380000000 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 18000000 and 1380000000 is 6000000 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 18000000/1380000000 can be represented in its reduced form.
2. On the other hand, you can also reduce 18000000/1380000000 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 18000000/1380000000 becomes (2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 x 5 x 5)/(2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 23). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 18000000/1380000000 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 18000000/1380000000

what to be found:
18000000/1380000000 = ?
Simplify 18000000/1380000000 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 18000000/1380000000.
Prime factors of 18000000 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 18000000/1380000000.
Prime factors of 1380000000 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 23

step 4 Rewrite the fraction 18000000/1380000000 in the form of prime factors as like the below:
18000000/1380000000= (2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 x 5 x 5) / (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 23)

step 5 Check and reduce the factors of 18000000 and 1380000000 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 x 5 x 5) / (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 23)
= ( 3 )/( 2 x 5 x 23)
18000000/1380000000 = 3/230

Hence,
18000000/1380000000 in simplest form is 3/230.

Representing fraction 18000000/1380000000 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 18000000/1380000000 in its lowest terms.