6/201 Simplified

Learn how to find what is 6/201 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 6/201 in simplest form.

To reduce 6/201 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 6/201 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 6 and 201 is 3. Dividing both the numerator and denominator by GCF, the fraction 6/201 becomes 2/67 which is the simplest form.

6/201 Simplified as a Fraction
Using Factorization:
6/201 = (?)
6/201 = (2 x 3)/(3 x 67)      write 6/201 in terms of factors
= 2/67
6/201 = 2/67
6/201 simplified is 2/67

Using GCF
6/201 = (?)
GCF of 6 and 201 is 3.
6/201 = (6/3)/(201/3)
= 2/67
6/201 = 2/67
6/201 simplified is 2/67 in fraction form
where,
6/201 is the given fraction to be simplified,
2/67 is the lowest term of 6/201.

Notes: 6/201 simplified in lowest terms
1. 6/201 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 6 and 201 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 6/201 can be represented in its reduced form.
2. On the other hand, you can also reduce 6/201 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 6/201 becomes (2 x 3)/(3 x 67). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 6/201 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 6/201

what to be found:
6/201 = ?
Reduce 6/201 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 6/201.
Prime factors of 6 = 2 x 3

step 3 Find the prime factors of the denominator of given fraction 6/201.
Prime factors of 201 = 3 x 67

step 4 Rewrite the fraction 6/201 in the form of prime factors as like the below:
6/201= (2 x 3) / (3 x 67)

step 5 Check and reduce the factors of 6 and 201 if any factors in the numerator and denominator cancel each other:
= (2 x 3) / (3 x 67)
= (2 )/( 67)
6/201 = 2/67
Hence,
6/201 in simplest form is 2/67.

6/201 simplified is 2/67, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 6/201 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 6/201 in its lowest terms.