375/288 Simplified

Learn how to find what is 375/288 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 375/288 in simplest form.

To simplify 375/288 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 375/288 can be reduced in simplest form. In this case, the greatest common divisor of 375 and 288 is 3. Dividing both the numerator and denominator by GCD, the fraction 375/288 becomes 125/96 which is the simplest form.

Simplify 375/288 as a Fraction
Using Factorization:
375/288 = (?)
375/288 = (3 x 5 x 5 x 5)/(2 x 2 x 2 x 2 x 2 x 3 x 3)      //write 375/288 in terms of factors
= 125/96
375/288 = 125/96
375/288 simplified is 125/96

Using GCD:
375/288 = (?)
GCD of 375 and 288 is 3.
375/288 = (375/3)/(288/3)
= 125/96
375/288 = 125/96
375/288 simplified is 125/96 in fraction form
where,
375/288 is the given fraction to be simplified,
125/96 is the lowest term of 375/288.

Notes: Simplify 375/288 in lowest terms
1. 375/288 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 375 and 288 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 375/288 can be represented in its reduced form.
2. On the other hand, you can also reduce 375/288 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 375/288 becomes (3 x 5 x 5 x 5)/(2 x 2 x 2 x 2 x 2 x 3 x 3). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 375/288 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 375/288

what to be found:
375/288 = ?
Simplify 375/288 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 375/288.
Prime factors of 375 = 3 x 5 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 375/288.
Prime factors of 288 = 2 x 2 x 2 x 2 x 2 x 3 x 3

step 4 Rewrite the fraction 375/288 in the form of prime factors as like the below:
375/288= (3 x 5 x 5 x 5) / (2 x 2 x 2 x 2 x 2 x 3 x 3)

step 5 Check and reduce the factors of 375 and 288 if any factors in the numerator and denominator cancel each other:
= (3 x 5 x 5 x 5) / (2 x 2 x 2 x 2 x 2 x 3 x 3)
= ( 5 x 5 x 5)/(2 x 2 x 2 x 2 x 2 x 3)
375/288 = 125/96

Hence,
375/288 in simplest form is 125/96.

Representing fraction 375/288 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 375/288 in its lowest terms.