11220/25480 Simplified

Learn how to find what is 11220/25480 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 11220/25480 in simplest form.

To simplify 11220/25480 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 11220/25480 can be reduced in simplest form. In this case, the greatest common divisor of 11220 and 25480 is 20. Dividing both the numerator and denominator by GCD, the fraction 11220/25480 becomes 561/1274 which is the simplest form.

Simplify 11220/25480 as a Fraction
Using Factorization:
11220/25480 = (?)
11220/25480 = (2 x 2 x 3 x 5 x 11 x 17)/(2 x 2 x 2 x 5 x 7 x 7 x 13)      //write 11220/25480 in terms of factors
= 561/1274
11220/25480 = 561/1274
11220/25480 simplified is 561/1274

Using GCD:
11220/25480 = (?)
GCD of 11220 and 25480 is 20.
11220/25480 = (11220/20)/(25480/20)
= 561/1274
11220/25480 = 561/1274
11220/25480 simplified is 561/1274 in fraction form
where,
11220/25480 is the given fraction to be simplified,
561/1274 is the lowest term of 11220/25480.

Notes: Simplify 11220/25480 in lowest terms
1. 11220/25480 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 11220 and 25480 is 20 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 11220/25480 can be represented in its reduced form.
2. On the other hand, you can also reduce 11220/25480 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 11220/25480 becomes (2 x 2 x 3 x 5 x 11 x 17)/(2 x 2 x 2 x 5 x 7 x 7 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 11220/25480 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 11220/25480

what to be found:
11220/25480 = ?
Simplify 11220/25480 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 11220/25480.
Prime factors of 11220 = 2 x 2 x 3 x 5 x 11 x 17

step 3 Find the prime factors of the denominator of given fraction 11220/25480.
Prime factors of 25480 = 2 x 2 x 2 x 5 x 7 x 7 x 13

step 4 Rewrite the fraction 11220/25480 in the form of prime factors as like the below:
11220/25480= (2 x 2 x 3 x 5 x 11 x 17) / (2 x 2 x 2 x 5 x 7 x 7 x 13)

step 5 Check and reduce the factors of 11220 and 25480 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3 x 5 x 11 x 17) / (2 x 2 x 2 x 5 x 7 x 7 x 13)
= ( 3 x 11 x 17)/( 2 x 7 x 7 x 13)
11220/25480 = 561/1274

Hence,
11220/25480 in simplest form is 561/1274.

Representing fraction 11220/25480 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 11220/25480 in its lowest terms.