9998/9000 Simplified

Learn how to find what is 9998/9000 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 9998/9000 in simplest form.

To simplify 9998/9000 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 9998/9000 can be reduced in simplest form. In this case, the greatest common divisor of 9998 and 9000 is 2. Dividing both the numerator and denominator by GCD, the fraction 9998/9000 becomes 4999/4500 which is the simplest form.

Simplify 9998/9000 as a Fraction
Using Factorization:
9998/9000 = (?)
9998/9000 = (2 x 4999)/(2 x 2 x 2 x 3 x 3 x 5 x 5 x 5)      //write 9998/9000 in terms of factors
= 4999/4500
9998/9000 = 4999/4500
9998/9000 simplified is 4999/4500

Using GCD:
9998/9000 = (?)
GCD of 9998 and 9000 is 2.
9998/9000 = (9998/2)/(9000/2)
= 4999/4500
9998/9000 = 4999/4500
9998/9000 simplified is 4999/4500 in fraction form
where,
9998/9000 is the given fraction to be simplified,
4999/4500 is the lowest term of 9998/9000.

Notes: Simplify 9998/9000 in lowest terms
1. 9998/9000 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 9998 and 9000 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 9998/9000 can be represented in its reduced form.
2. On the other hand, you can also reduce 9998/9000 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 9998/9000 becomes (2 x 4999)/(2 x 2 x 2 x 3 x 3 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 9998/9000 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 9998/9000

what to be found:
9998/9000 = ?
Simplify 9998/9000 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 9998/9000.
Prime factors of 9998 = 2 x 4999

step 3 Find the prime factors of the denominator of given fraction 9998/9000.
Prime factors of 9000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5

step 4 Rewrite the fraction 9998/9000 in the form of prime factors as like the below:
9998/9000= (2 x 4999) / (2 x 2 x 2 x 3 x 3 x 5 x 5 x 5)

step 5 Check and reduce the factors of 9998 and 9000 if any factors in the numerator and denominator cancel each other:
= (2 x 4999) / (2 x 2 x 2 x 3 x 3 x 5 x 5 x 5)
= ( 4999)/( 2 x 2 x 3 x 3 x 5 x 5 x 5)
9998/9000 = 4999/4500

Hence,
9998/9000 in simplest form is 4999/4500.

Representing fraction 9998/9000 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 9998/9000 in its lowest terms.