21/450 Simplified

Learn how to find what is 21/450 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 21/450 in simplest form.

To simplify 21/450 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 21/450 can be reduced in simplest form. In this case, the greatest common divisor of 21 and 450 is 3. Dividing both the numerator and denominator by GCD, the fraction 21/450 becomes 7/150 which is the simplest form.

Simplify 21/450 as a Fraction
Using Factorization:
21/450 = (?)
21/450 = (3 x 7)/(2 x 3 x 3 x 5 x 5)      //write 21/450 in terms of factors
= 7/150
21/450 = 7/150
21/450 simplified is 7/150

Using GCD:
21/450 = (?)
GCD of 21 and 450 is 3.
21/450 = (21/3)/(450/3)
= 7/150
21/450 = 7/150
21/450 simplified is 7/150 in fraction form
where,
21/450 is the given fraction to be simplified,
7/150 is the lowest term of 21/450.

Notes: Simplify 21/450 in lowest terms
1. 21/450 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 21 and 450 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 21/450 can be represented in its reduced form.
2. On the other hand, you can also reduce 21/450 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 21/450 becomes (3 x 7)/(2 x 3 x 3 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 21/450 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 21/450

what to be found:
21/450 = ?
Simplify 21/450 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 21/450.
Prime factors of 21 = 3 x 7

step 3 Find the prime factors of the denominator of given fraction 21/450.
Prime factors of 450 = 2 x 3 x 3 x 5 x 5

step 4 Rewrite the fraction 21/450 in the form of prime factors as like the below:
21/450= (3 x 7) / (2 x 3 x 3 x 5 x 5)

step 5 Check and reduce the factors of 21 and 450 if any factors in the numerator and denominator cancel each other:
= (3 x 7) / (2 x 3 x 3 x 5 x 5)
= ( 7)/(2 x 3 x 5 x 5)
21/450 = 7/150

Hence,
21/450 in simplest form is 7/150.

Representing fraction 21/450 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 21/450 in its lowest terms.