450/490 Simplified

Learn how to find what is 450/490 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 450/490 in simplest form.

To simplify 450/490 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 450/490 can be reduced in simplest form. In this case, the greatest common divisor of 450 and 490 is 10. Dividing both the numerator and denominator by GCD, the fraction 450/490 becomes 45/49 which is the simplest form.

Simplify 450/490 as a Fraction
Using Factorization:
450/490 = (?)
450/490 = (2 x 3 x 3 x 5 x 5)/(2 x 5 x 7 x 7)      //write 450/490 in terms of factors
= 45/49
450/490 = 45/49
450/490 simplified is 45/49

Using GCD:
450/490 = (?)
GCD of 450 and 490 is 10.
450/490 = (450/10)/(490/10)
= 45/49
450/490 = 45/49
450/490 simplified is 45/49 in fraction form
where,
450/490 is the given fraction to be simplified,
45/49 is the lowest term of 450/490.

Notes: Simplify 450/490 in lowest terms
1. 450/490 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 450 and 490 is 10 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 450/490 can be represented in its reduced form.
2. On the other hand, you can also reduce 450/490 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 450/490 becomes (2 x 3 x 3 x 5 x 5)/(2 x 5 x 7 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 450/490 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 450/490

what to be found:
450/490 = ?
Simplify 450/490 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 450/490.
Prime factors of 450 = 2 x 3 x 3 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 450/490.
Prime factors of 490 = 2 x 5 x 7 x 7

step 4 Rewrite the fraction 450/490 in the form of prime factors as like the below:
450/490= (2 x 3 x 3 x 5 x 5) / (2 x 5 x 7 x 7)

step 5 Check and reduce the factors of 450 and 490 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 3 x 5 x 5) / (2 x 5 x 7 x 7)
= ( 3 x 3 x 5)/( 7 x 7)
450/490 = 45/49

Hence,
450/490 in simplest form is 45/49.

Representing fraction 450/490 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 450/490 in its lowest terms.