138100/14375 Simplified

Learn how to find what is 138100/14375 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 138100/14375 in simplest form.

To simplify 138100/14375 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 138100/14375 can be reduced in simplest form. In this case, the greatest common divisor of 138100 and 14375 is 25. Dividing both the numerator and denominator by GCD, the fraction 138100/14375 becomes 5524/575 which is the simplest form.

Simplify 138100/14375 as a Fraction
Using Factorization:
138100/14375 = (?)
138100/14375 = (2 x 2 x 5 x 5 x 1381)/(5 x 5 x 5 x 5 x 23)      //write 138100/14375 in terms of factors
= 5524/575
138100/14375 = 5524/575
138100/14375 simplified is 5524/575

Using GCD:
138100/14375 = (?)
GCD of 138100 and 14375 is 25.
138100/14375 = (138100/25)/(14375/25)
= 5524/575
138100/14375 = 5524/575
138100/14375 simplified is 5524/575 in fraction form
where,
138100/14375 is the given fraction to be simplified,
5524/575 is the lowest term of 138100/14375.

Notes: Simplify 138100/14375 in lowest terms
1. 138100/14375 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 138100 and 14375 is 25 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 138100/14375 can be represented in its reduced form.
2. On the other hand, you can also reduce 138100/14375 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 138100/14375 becomes (2 x 2 x 5 x 5 x 1381)/(5 x 5 x 5 x 5 x 23). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 138100/14375 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 138100/14375

what to be found:
138100/14375 = ?
Simplify 138100/14375 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 138100/14375.
Prime factors of 138100 = 2 x 2 x 5 x 5 x 1381

step 3 Find the prime factors of the denominator of given fraction 138100/14375.
Prime factors of 14375 = 5 x 5 x 5 x 5 x 23

step 4 Rewrite the fraction 138100/14375 in the form of prime factors as like the below:
138100/14375= (2 x 2 x 5 x 5 x 1381) / (5 x 5 x 5 x 5 x 23)

step 5 Check and reduce the factors of 138100 and 14375 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 5 x 5 x 1381) / (5 x 5 x 5 x 5 x 23)
= (2 x 2 x 1381)/( 5 x 5 x 23)
138100/14375 = 5524/575

Hence,
138100/14375 in simplest form is 5524/575.

Representing fraction 138100/14375 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 138100/14375 in its lowest terms.