216/345 Simplified

Learn how to find what is 216/345 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 216/345 in simplest form.

To reduce 216/345 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 216/345 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 216 and 345 is 3. Dividing both the numerator and denominator by GCF, the fraction 216/345 becomes 72/115 which is the simplest form.

216/345 Simplified as a Fraction
Using Factorization:
216/345 = (?)
216/345 = (2 x 2 x 2 x 3 x 3 x 3)/(3 x 5 x 23)      write 216/345 in terms of factors
= 72/115
216/345 = 72/115
216/345 simplified is 72/115

Using GCF
216/345 = (?)
GCF of 216 and 345 is 3.
216/345 = (216/3)/(345/3)
= 72/115
216/345 = 72/115
216/345 simplified is 72/115 in fraction form
where,
216/345 is the given fraction to be simplified,
72/115 is the lowest term of 216/345.

Notes: 216/345 simplified in lowest terms
1. 216/345 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 216 and 345 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 216/345 can be represented in its reduced form.
2. On the other hand, you can also reduce 216/345 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 216/345 becomes (2 x 2 x 2 x 3 x 3 x 3)/(3 x 5 x 23). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 216/345 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 216/345

what to be found:
216/345 = ?
Reduce 216/345 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 216/345.
Prime factors of 216 = 2 x 2 x 2 x 3 x 3 x 3

step 3 Find the prime factors of the denominator of given fraction 216/345.
Prime factors of 345 = 3 x 5 x 23

step 4 Rewrite the fraction 216/345 in the form of prime factors as like the below:
216/345= (2 x 2 x 2 x 3 x 3 x 3) / (3 x 5 x 23)

step 5 Check and reduce the factors of 216 and 345 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 3 x 3) / (3 x 5 x 23)
= (2 x 2 x 2 x 3 x 3)/( 5 x 23)
216/345 = 72/115
Hence,
216/345 in simplest form is 72/115.

216/345 simplified is 72/115, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 216/345 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 216/345 in its lowest terms.