7021/9027 Simplified

Learn how to find what is 7021/9027 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 7021/9027 in simplest form.

To simplify 7021/9027 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 7021/9027 can be reduced in simplest form. In this case, the greatest common divisor of 7021 and 9027 is 1003. Dividing both the numerator and denominator by GCD, the fraction 7021/9027 becomes 7/9 which is the simplest form.

Simplify 7021/9027 as a Fraction
Using Factorization:
7021/9027 = (?)
7021/9027 = (7 x 17 x 59)/(3 x 3 x 17 x 59)      //write 7021/9027 in terms of factors
= 7/9
7021/9027 = 7/9
7021/9027 simplified is 7/9

Using GCD:
7021/9027 = (?)
GCD of 7021 and 9027 is 1003.
7021/9027 = (7021/1003)/(9027/1003)
= 7/9
7021/9027 = 7/9
7021/9027 simplified is 7/9 in fraction form
where,
7021/9027 is the given fraction to be simplified,
7/9 is the lowest term of 7021/9027.

Notes: Simplify 7021/9027 in lowest terms
1. 7021/9027 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 7021 and 9027 is 1003 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 7021/9027 can be represented in its reduced form.
2. On the other hand, you can also reduce 7021/9027 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 7021/9027 becomes (7 x 17 x 59)/(3 x 3 x 17 x 59). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 7021/9027 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 7021/9027

what to be found:
7021/9027 = ?
Simplify 7021/9027 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 7021/9027.
Prime factors of 7021 = 7 x 17 x 59

step 3 Find the prime factors of the denominator of given fraction 7021/9027.
Prime factors of 9027 = 3 x 3 x 17 x 59

step 4 Rewrite the fraction 7021/9027 in the form of prime factors as like the below:
7021/9027= (7 x 17 x 59) / (3 x 3 x 17 x 59)

step 5 Check and reduce the factors of 7021 and 9027 if any factors in the numerator and denominator cancel each other:
= (7 x 17 x 59) / (3 x 3 x 17 x 59)
= (7 )/(3 x 3 )
7021/9027 = 7/9

Hence,
7021/9027 in simplest form is 7/9.

Representing fraction 7021/9027 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 7021/9027 in its lowest terms.