27/162 Simplified

Learn how to find what is 27/162 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 27/162 in simplest form.

To reduce 27/162 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 27/162 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 27 and 162 is 27. Dividing both the numerator and denominator by GCF, the fraction 27/162 becomes 1/6 which is the simplest form.

27/162 Simplified as a Fraction
Using Factorization:
27/162 = (?)
27/162 = (3 x 3 x 3)/(2 x 3 x 3 x 3 x 3)      write 27/162 in terms of factors
= 1/6
27/162 = 1/6
27/162 simplified is 1/6

Using GCF
27/162 = (?)
GCF of 27 and 162 is 27.
27/162 = (27/27)/(162/27)
= 1/6
27/162 = 1/6
27/162 simplified is 1/6 in fraction form
where,
27/162 is the given fraction to be simplified,
1/6 is the lowest term of 27/162.

Notes: 27/162 simplified in lowest terms
1. 27/162 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 27 and 162 is 27 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 27/162 can be represented in its reduced form.
2. On the other hand, you can also reduce 27/162 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 27/162 becomes (3 x 3 x 3)/(2 x 3 x 3 x 3 x 3). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 27/162 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 27/162

what to be found:
27/162 = ?
Reduce 27/162 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 27/162.
Prime factors of 27 = 3 x 3 x 3

step 3 Find the prime factors of the denominator of given fraction 27/162.
Prime factors of 162 = 2 x 3 x 3 x 3 x 3

step 4 Rewrite the fraction 27/162 in the form of prime factors as like the below:
27/162= (3 x 3 x 3) / (2 x 3 x 3 x 3 x 3)

step 5 Check and reduce the factors of 27 and 162 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 3) / (2 x 3 x 3 x 3 x 3)
= (1)/(2 x 3)
27/162 = 1/6
Hence,
27/162 in simplest form is 1/6.

27/162 simplified is 1/6, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 27/162 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 27/162 in its lowest terms.