6/9 Simplified

Learn how to find what is 6/9 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 6/9 in simplest form.

To reduce 6/9 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 6/9 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 6 and 9 is 3. Dividing both the numerator and denominator by GCF, the fraction 6/9 becomes 2/3 which is the simplest form.

6/9 Simplified as a Fraction
Using Factorization:
6/9 = (?)
6/9 = (2 x 3)/(3 x 3)      write 6/9 in terms of factors
= 2/3
6/9 = 2/3
6/9 simplified is 2/3

Using GCF
6/9 = (?)
GCF of 6 and 9 is 3.
6/9 = (6/3)/(9/3)
= 2/3
6/9 = 2/3
6/9 simplified is 2/3 in fraction form
where,
6/9 is the given fraction to be simplified,
2/3 is the lowest term of 6/9.

Notes: 6/9 simplified in lowest terms
1. 6/9 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 6 and 9 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 6/9 can be represented in its reduced form.
2. On the other hand, you can also reduce 6/9 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 6/9 becomes (2 x 3)/(3 x 3). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 6/9 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 6/9

what to be found:
6/9 = ?
Reduce 6/9 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 6/9.
Prime factors of 6 = 2 x 3

step 3 Find the prime factors of the denominator of given fraction 6/9.
Prime factors of 9 = 3 x 3

step 4 Rewrite the fraction 6/9 in the form of prime factors as like the below:
6/9= (2 x 3) / (3 x 3)

step 5 Check and reduce the factors of 6 and 9 if any factors in the numerator and denominator cancel each other:
= (2 x 3) / (3 x 3)
= (2 )/( 3)
6/9 = 2/3
Hence,
6/9 in simplest form is 2/3.

6/9 simplified is 2/3, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 6/9 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 6/9 in its lowest terms.