33750/421875 Simplified

Learn how to find what is 33750/421875 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 33750/421875 in simplest form.

To simplify 33750/421875 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 33750/421875 can be reduced in simplest form. In this case, the greatest common divisor of 33750 and 421875 is 16875. Dividing both the numerator and denominator by GCD, the fraction 33750/421875 becomes 2/25 which is the simplest form.

Simplify 33750/421875 as a Fraction
Using Factorization:
33750/421875 = (?)
33750/421875 = (2 x 3 x 3 x 3 x 5 x 5 x 5 x 5)/(3 x 3 x 3 x 5 x 5 x 5 x 5 x 5 x 5)      //write 33750/421875 in terms of factors
= 2/25
33750/421875 = 2/25
33750/421875 simplified is 2/25

Using GCD:
33750/421875 = (?)
GCD of 33750 and 421875 is 16875.
33750/421875 = (33750/16875)/(421875/16875)
= 2/25
33750/421875 = 2/25
33750/421875 simplified is 2/25 in fraction form
where,
33750/421875 is the given fraction to be simplified,
2/25 is the lowest term of 33750/421875.

Notes: Simplify 33750/421875 in lowest terms
1. 33750/421875 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 33750 and 421875 is 16875 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 33750/421875 can be represented in its reduced form.
2. On the other hand, you can also reduce 33750/421875 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 33750/421875 becomes (2 x 3 x 3 x 3 x 5 x 5 x 5 x 5)/(3 x 3 x 3 x 5 x 5 x 5 x 5 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 33750/421875 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 33750/421875

what to be found:
33750/421875 = ?
Simplify 33750/421875 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 33750/421875.
Prime factors of 33750 = 2 x 3 x 3 x 3 x 5 x 5 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 33750/421875.
Prime factors of 421875 = 3 x 3 x 3 x 5 x 5 x 5 x 5 x 5 x 5

step 4 Rewrite the fraction 33750/421875 in the form of prime factors as like the below:
33750/421875= (2 x 3 x 3 x 3 x 5 x 5 x 5 x 5) / (3 x 3 x 3 x 5 x 5 x 5 x 5 x 5 x 5)

step 5 Check and reduce the factors of 33750 and 421875 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 3 x 3 x 5 x 5 x 5 x 5) / (3 x 3 x 3 x 5 x 5 x 5 x 5 x 5 x 5)
= (2 )/( 5 x 5)
33750/421875 = 2/25

Hence,
33750/421875 in simplest form is 2/25.

Representing fraction 33750/421875 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 33750/421875 in its lowest terms.