11025/49 Simplified

Learn how to find what is 11025/49 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 11025/49 in simplest form.

To simplify 11025/49 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 11025/49 can be reduced in simplest form. In this case, the greatest common divisor of 11025 and 49 is 49. Dividing both the numerator and denominator by GCD, the fraction 11025/49 becomes 225/1 which is the simplest form.

Simplify 11025/49 as a Fraction
Using Factorization:
11025/49 = (?)
11025/49 = (3 x 3 x 5 x 5 x 7 x 7)/(7 x 7)      //write 11025/49 in terms of factors
= 225/1
11025/49 = 225/1
11025/49 simplified is 225/1

Using GCD:
11025/49 = (?)
GCD of 11025 and 49 is 49.
11025/49 = (11025/49)/(49/49)
= 225/1
11025/49 = 225/1
11025/49 simplified is 225/1 in fraction form
where,
11025/49 is the given fraction to be simplified,
225/1 is the lowest term of 11025/49.

Notes: Simplify 11025/49 in lowest terms
1. 11025/49 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 11025 and 49 is 49 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 11025/49 can be represented in its reduced form.
2. On the other hand, you can also reduce 11025/49 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 11025/49 becomes (3 x 3 x 5 x 5 x 7 x 7)/(7 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 11025/49 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 11025/49

what to be found:
11025/49 = ?
Simplify 11025/49 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 11025/49.
Prime factors of 11025 = 3 x 3 x 5 x 5 x 7 x 7

step 3 Find the prime factors of the denominator of given fraction 11025/49.
Prime factors of 49 = 7 x 7

step 4 Rewrite the fraction 11025/49 in the form of prime factors as like the below:
11025/49= (3 x 3 x 5 x 5 x 7 x 7) / (7 x 7)

step 5 Check and reduce the factors of 11025 and 49 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 5 x 5 x 7 x 7) / (7 x 7)
= (3 x 3 x 5 x 5 )/(1)
11025/49 = 225/1

Hence,
11025/49 in simplest form is 225/1.

Representing fraction 11025/49 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 11025/49 in its lowest terms.