18/144 Simplified

Learn how to find what is 18/144 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 18/144 in simplest form.

To reduce 18/144 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 18/144 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 18 and 144 is 18. Dividing both the numerator and denominator by GCF, the fraction 18/144 becomes 1/8 which is the simplest form.

18/144 Simplified as a Fraction
Using Factorization:
18/144 = (?)
18/144 = (2 x 3 x 3)/(2 x 2 x 2 x 2 x 3 x 3)      write 18/144 in terms of factors
= 1/8
18/144 = 1/8
18/144 simplified is 1/8

Using GCF
18/144 = (?)
GCF of 18 and 144 is 18.
18/144 = (18/18)/(144/18)
= 1/8
18/144 = 1/8
18/144 simplified is 1/8 in fraction form
where,
18/144 is the given fraction to be simplified,
1/8 is the lowest term of 18/144.

Notes: 18/144 simplified in lowest terms
1. 18/144 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 18 and 144 is 18 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 18/144 can be represented in its reduced form.
2. On the other hand, you can also reduce 18/144 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 18/144 becomes (2 x 3 x 3)/(2 x 2 x 2 x 2 x 3 x 3). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 18/144 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 18/144

what to be found:
18/144 = ?
Reduce 18/144 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 18/144.
Prime factors of 18 = 2 x 3 x 3

step 3 Find the prime factors of the denominator of given fraction 18/144.
Prime factors of 144 = 2 x 2 x 2 x 2 x 3 x 3

step 4 Rewrite the fraction 18/144 in the form of prime factors as like the below:
18/144= (2 x 3 x 3) / (2 x 2 x 2 x 2 x 3 x 3)

step 5 Check and reduce the factors of 18 and 144 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 3) / (2 x 2 x 2 x 2 x 3 x 3)
= (1)/( 2 x 2 x 2 )
18/144 = 1/8
Hence,
18/144 in simplest form is 1/8.

18/144 simplified is 1/8, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 18/144 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 18/144 in its lowest terms.