690/388 Simplified

Learn how to find what is 690/388 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 690/388 in simplest form.

To reduce 690/388 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 690/388 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 690 and 388 is 2. Dividing both the numerator and denominator by GCF, the fraction 690/388 becomes 345/194 which is the simplest form.

690/388 Simplified as a Fraction
Using Factorization:
690/388 = (?)
690/388 = (2 x 3 x 5 x 23)/(2 x 2 x 97)      write 690/388 in terms of factors
= 345/194
690/388 = 345/194
690/388 simplified is 345/194

Using GCF
690/388 = (?)
GCF of 690 and 388 is 2.
690/388 = (690/2)/(388/2)
= 345/194
690/388 = 345/194
690/388 simplified is 345/194 in fraction form
where,
690/388 is the given fraction to be simplified,
345/194 is the lowest term of 690/388.

Notes: 690/388 simplified in lowest terms
1. 690/388 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 690 and 388 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 690/388 can be represented in its reduced form.
2. On the other hand, you can also reduce 690/388 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 690/388 becomes (2 x 3 x 5 x 23)/(2 x 2 x 97). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 690/388 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 690/388

what to be found:
690/388 = ?
Reduce 690/388 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 690/388.
Prime factors of 690 = 2 x 3 x 5 x 23

step 3 Find the prime factors of the denominator of given fraction 690/388.
Prime factors of 388 = 2 x 2 x 97

step 4 Rewrite the fraction 690/388 in the form of prime factors as like the below:
690/388= (2 x 3 x 5 x 23) / (2 x 2 x 97)

step 5 Check and reduce the factors of 690 and 388 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 5 x 23) / (2 x 2 x 97)
= ( 3 x 5 x 23)/( 2 x 97)
690/388 = 345/194
Hence,
690/388 in simplest form is 345/194.

690/388 simplified is 345/194, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 690/388 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 690/388 in its lowest terms.