114/20 Simplified

Learn how to find what is 114/20 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 114/20 in simplest form.

To simplify 114/20 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 114/20 can be reduced in simplest form. In this case, the greatest common divisor of 114 and 20 is 2. Dividing both the numerator and denominator by GCD, the fraction 114/20 becomes 57/10 which is the simplest form.

Simplify 114/20 as a Fraction
Using Factorization:
114/20 = (?)
114/20 = (2 x 3 x 19)/(2 x 2 x 5)      //write 114/20 in terms of factors
= 57/10
114/20 = 57/10
114/20 simplified is 57/10

Using GCD:
114/20 = (?)
GCD of 114 and 20 is 2.
114/20 = (114/2)/(20/2)
= 57/10
114/20 = 57/10
114/20 simplified is 57/10 in fraction form
where,
114/20 is the given fraction to be simplified,
57/10 is the lowest term of 114/20.

Notes: Simplify 114/20 in lowest terms
1. 114/20 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 114 and 20 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 114/20 can be represented in its reduced form.
2. On the other hand, you can also reduce 114/20 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 114/20 becomes (2 x 3 x 19)/(2 x 2 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 114/20 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 114/20

what to be found:
114/20 = ?
Simplify 114/20 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 114/20.
Prime factors of 114 = 2 x 3 x 19

step 3 Find the prime factors of the denominator of given fraction 114/20.
Prime factors of 20 = 2 x 2 x 5

step 4 Rewrite the fraction 114/20 in the form of prime factors as like the below:
114/20= (2 x 3 x 19) / (2 x 2 x 5)

step 5 Check and reduce the factors of 114 and 20 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 19) / (2 x 2 x 5)
= ( 3 x 19)/( 2 x 5)
114/20 = 57/10

Hence,
114/20 in simplest form is 57/10.

Representing fraction 114/20 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 114/20 in its lowest terms.