689/212 Simplified

Learn how to find what is 689/212 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 689/212 in simplest form.

To reduce 689/212 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 689/212 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 689 and 212 is 53. Dividing both the numerator and denominator by GCF, the fraction 689/212 becomes 13/4 which is the simplest form.

689/212 Simplified as a Fraction
Using Factorization:
689/212 = (?)
689/212 = (13 x 53)/(2 x 2 x 53)      write 689/212 in terms of factors
= 13/4
689/212 = 13/4
689/212 simplified is 13/4

Using GCF
689/212 = (?)
GCF of 689 and 212 is 53.
689/212 = (689/53)/(212/53)
= 13/4
689/212 = 13/4
689/212 simplified is 13/4 in fraction form
where,
689/212 is the given fraction to be simplified,
13/4 is the lowest term of 689/212.

Notes: 689/212 simplified in lowest terms
1. 689/212 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 689 and 212 is 53 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 689/212 can be represented in its reduced form.
2. On the other hand, you can also reduce 689/212 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 689/212 becomes (13 x 53)/(2 x 2 x 53). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 689/212 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 689/212

what to be found:
689/212 = ?
Reduce 689/212 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 689/212.
Prime factors of 689 = 13 x 53

step 3 Find the prime factors of the denominator of given fraction 689/212.
Prime factors of 212 = 2 x 2 x 53

step 4 Rewrite the fraction 689/212 in the form of prime factors as like the below:
689/212= (13 x 53) / (2 x 2 x 53)

step 5 Check and reduce the factors of 689 and 212 if any factors in the numerator and denominator cancel each other:
= (13 x 53) / (2 x 2 x 53)
= (13 )/(2 x 2 )
689/212 = 13/4
Hence,
689/212 in simplest form is 13/4.

689/212 simplified is 13/4, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 689/212 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 689/212 in its lowest terms.