20/1725 Simplified

Learn how to find what is 20/1725 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 20/1725 in simplest form.

To simplify 20/1725 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 20/1725 can be reduced in simplest form. In this case, the greatest common divisor of 20 and 1725 is 5. Dividing both the numerator and denominator by GCD, the fraction 20/1725 becomes 4/345 which is the simplest form.

Simplify 20/1725 as a Fraction
Using Factorization:
20/1725 = (?)
20/1725 = (2 x 2 x 5)/(3 x 5 x 5 x 23)      //write 20/1725 in terms of factors
= 4/345
20/1725 = 4/345
20/1725 simplified is 4/345

Using GCD:
20/1725 = (?)
GCD of 20 and 1725 is 5.
20/1725 = (20/5)/(1725/5)
= 4/345
20/1725 = 4/345
20/1725 simplified is 4/345 in fraction form
where,
20/1725 is the given fraction to be simplified,
4/345 is the lowest term of 20/1725.

Notes: Simplify 20/1725 in lowest terms
1. 20/1725 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 20 and 1725 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 20/1725 can be represented in its reduced form.
2. On the other hand, you can also reduce 20/1725 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 20/1725 becomes (2 x 2 x 5)/(3 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 20/1725 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 20/1725

what to be found:
20/1725 = ?
Simplify 20/1725 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 20/1725.
Prime factors of 20 = 2 x 2 x 5

step 3 Find the prime factors of the denominator of given fraction 20/1725.
Prime factors of 1725 = 3 x 5 x 5 x 23

step 4 Rewrite the fraction 20/1725 in the form of prime factors as like the below:
20/1725= (2 x 2 x 5) / (3 x 5 x 5 x 23)

step 5 Check and reduce the factors of 20 and 1725 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 5) / (3 x 5 x 5 x 23)
= (2 x 2 )/(3 x 5 x 23)
20/1725 = 4/345

Hence,
20/1725 in simplest form is 4/345.

Representing fraction 20/1725 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 20/1725 in its lowest terms.