114/180 Simplified

Learn how to find what is 114/180 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 114/180 in simplest form.

To reduce 114/180 in its lowest terms, you must be familiar with either how to find the greatest common factor or prime factors. Both of these methods are used to recognize if 114/180 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 114 and 180 is 6. Dividing both the numerator and denominator by GCF, the fraction 114/180 becomes 19/30 which is the simplest form.

114/180 Simplified as a Fraction
Using Factorization:
114/180 = (?)
114/180 = (2 x 3 x 19)/(2 x 2 x 3 x 3 x 5)      write 114/180 in terms of factors
= 19/30
114/180 = 19/30
114/180 simplified is 19/30

Using GCF
114/180 = (?)
GCF of 114 and 180 is 6.
114/180 = (114/6)/(180/6)
= 19/30
114/180 = 19/30
114/180 simplified is 19/30 in fraction form
where,
114/180 is the given fraction to be simplified,
19/30 is the lowest term of 114/180.

Notes: 114/180 simplified in lowest terms
1. 114/180 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 114 and 180 is 6 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 114/180 can be represented in its reduced form.
2. On the other hand, you can also reduce 114/180 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 114/180 becomes (2 x 3 x 19)/(2 x 2 x 3 x 3 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 114/180 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 114/180

what to be found:
114/180 = ?
Reduce 114/180 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 114/180.
Prime factors of 114 = 2 x 3 x 19

step 3 Find the prime factors of the denominator of given fraction 114/180.
Prime factors of 180 = 2 x 2 x 3 x 3 x 5

step 4 Rewrite the fraction 114/180 in the form of prime factors as like the below:
114/180= (2 x 3 x 19) / (2 x 2 x 3 x 3 x 5)

step 5 Check and reduce the factors of 114 and 180 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 19) / (2 x 2 x 3 x 3 x 5)
= ( 19)/( 2 x 3 x 5)
114/180 = 19/30
Hence,
114/180 in simplest form is 19/30.

114/180 simplified is 19/30, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 114/180 to its simplest form involves the greatest common factor or factorization. Recognizing the GCF or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 114/180 in its lowest terms.