105/3375 Simplified

Learn how to find what is 105/3375 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 105/3375 in simplest form.

To simplify 105/3375 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 105/3375 can be reduced in simplest form. In this case, the greatest common divisor of 105 and 3375 is 15. Dividing both the numerator and denominator by GCD, the fraction 105/3375 becomes 7/225 which is the simplest form.

Simplify 105/3375 as a Fraction
Using Factorization:
105/3375 = (?)
105/3375 = (3 x 5 x 7)/(3 x 3 x 3 x 5 x 5 x 5)      //write 105/3375 in terms of factors
= 7/225
105/3375 = 7/225
105/3375 simplified is 7/225

Using GCD:
105/3375 = (?)
GCD of 105 and 3375 is 15.
105/3375 = (105/15)/(3375/15)
= 7/225
105/3375 = 7/225
105/3375 simplified is 7/225 in fraction form
where,
105/3375 is the given fraction to be simplified,
7/225 is the lowest term of 105/3375.

Notes: Simplify 105/3375 in lowest terms
1. 105/3375 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 105 and 3375 is 15 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 105/3375 can be represented in its reduced form.
2. On the other hand, you can also reduce 105/3375 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 105/3375 becomes (3 x 5 x 7)/(3 x 3 x 3 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 105/3375 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 105/3375

what to be found:
105/3375 = ?
Simplify 105/3375 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 105/3375.
Prime factors of 105 = 3 x 5 x 7

step 3 Find the prime factors of the denominator of given fraction 105/3375.
Prime factors of 3375 = 3 x 3 x 3 x 5 x 5 x 5

step 4 Rewrite the fraction 105/3375 in the form of prime factors as like the below:
105/3375= (3 x 5 x 7) / (3 x 3 x 3 x 5 x 5 x 5)

step 5 Check and reduce the factors of 105 and 3375 if any factors in the numerator and denominator cancel each other:
= (3 x 5 x 7) / (3 x 3 x 3 x 5 x 5 x 5)
= ( 7)/( 3 x 3 x 5 x 5)
105/3375 = 7/225

Hence,
105/3375 in simplest form is 7/225.

Representing fraction 105/3375 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 105/3375 in its lowest terms.