6/30 Simplified

Learn how to find what is 6/30 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 6/30 in simplest form.

To reduce 6/30 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 6/30 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 6 and 30 is 6. Dividing both the numerator and denominator by GCF, the fraction 6/30 becomes 1/5 which is the simplest form.

6/30 Simplified as a Fraction
Using Factorization:
6/30 = (?)
6/30 = (2 x 3)/(2 x 3 x 5)      write 6/30 in terms of factors
= 1/5
6/30 = 1/5
6/30 simplified is 1/5

Using GCF
6/30 = (?)
GCF of 6 and 30 is 6.
6/30 = (6/6)/(30/6)
= 1/5
6/30 = 1/5
6/30 simplified is 1/5 in fraction form
where,
6/30 is the given fraction to be simplified,
1/5 is the lowest term of 6/30.

Notes: 6/30 simplified in lowest terms
1. 6/30 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 6 and 30 is 6 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 6/30 can be represented in its reduced form.
2. On the other hand, you can also reduce 6/30 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 6/30 becomes (2 x 3)/(2 x 3 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 6/30 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 6/30

what to be found:
6/30 = ?
Reduce 6/30 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 6/30.
Prime factors of 6 = 2 x 3

step 3 Find the prime factors of the denominator of given fraction 6/30.
Prime factors of 30 = 2 x 3 x 5

step 4 Rewrite the fraction 6/30 in the form of prime factors as like the below:
6/30= (2 x 3) / (2 x 3 x 5)

step 5 Check and reduce the factors of 6 and 30 if any factors in the numerator and denominator cancel each other:
= (2 x 3) / (2 x 3 x 5)
= (1)/( 5)
6/30 = 1/5
Hence,
6/30 in simplest form is 1/5.

6/30 simplified is 1/5, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 6/30 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 6/30 in its lowest terms.