3/120 Simplified

Learn how to find what is 3/120 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 3/120 in simplest form.

To simplify 3/120 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 3/120 can be reduced in simplest form. In this case, the greatest common divisor of 3 and 120 is 3. Dividing both the numerator and denominator by GCD, the fraction 3/120 becomes 1/40 which is the simplest form.

Simplify 3/120 as a Fraction
Using Factorization:
3/120 = (?)
3/120 = (3)/(2 x 2 x 2 x 3 x 5)      //write 3/120 in terms of factors
= 1/40
3/120 = 1/40
3/120 simplified is 1/40

Using GCD:
3/120 = (?)
GCD of 3 and 120 is 3.
3/120 = (3/3)/(120/3)
= 1/40
3/120 = 1/40
3/120 simplified is 1/40 in fraction form
where,
3/120 is the given fraction to be simplified,
1/40 is the lowest term of 3/120.

Notes: Simplify 3/120 in lowest terms
1. 3/120 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 3 and 120 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 3/120 can be represented in its reduced form.
2. On the other hand, you can also reduce 3/120 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 3/120 becomes (3)/(2 x 2 x 2 x 3 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 3/120 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 3/120

what to be found:
3/120 = ?
Simplify 3/120 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 3/120.
Prime factors of 3 = 3

step 3 Find the prime factors of the denominator of given fraction 3/120.
Prime factors of 120 = 2 x 2 x 2 x 3 x 5

step 4 Rewrite the fraction 3/120 in the form of prime factors as like the below:
3/120= (3) / (2 x 2 x 2 x 3 x 5)

step 5 Check and reduce the factors of 3 and 120 if any factors in the numerator and denominator cancel each other:
= (3) / (2 x 2 x 2 x 3 x 5)
= (1)/(2 x 2 x 2 x 5)
3/120 = 1/40

Hence,
3/120 in simplest form is 1/40.

Representing fraction 3/120 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 3/120 in its lowest terms.