72/159 Simplified

Learn how to find what is 72/159 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 72/159 in simplest form.

To reduce 72/159 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 72/159 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 72 and 159 is 3. Dividing both the numerator and denominator by GCF, the fraction 72/159 becomes 24/53 which is the simplest form.

72/159 Simplified as a Fraction
Using Factorization:
72/159 = (?)
72/159 = (2 x 2 x 2 x 3 x 3)/(3 x 53)      write 72/159 in terms of factors
= 24/53
72/159 = 24/53
72/159 simplified is 24/53

Using GCF
72/159 = (?)
GCF of 72 and 159 is 3.
72/159 = (72/3)/(159/3)
= 24/53
72/159 = 24/53
72/159 simplified is 24/53 in fraction form
where,
72/159 is the given fraction to be simplified,
24/53 is the lowest term of 72/159.

Notes: 72/159 simplified in lowest terms
1. 72/159 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 72 and 159 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 72/159 can be represented in its reduced form.
2. On the other hand, you can also reduce 72/159 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 72/159 becomes (2 x 2 x 2 x 3 x 3)/(3 x 53). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 72/159 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 72/159

what to be found:
72/159 = ?
Reduce 72/159 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 72/159.
Prime factors of 72 = 2 x 2 x 2 x 3 x 3

step 3 Find the prime factors of the denominator of given fraction 72/159.
Prime factors of 159 = 3 x 53

step 4 Rewrite the fraction 72/159 in the form of prime factors as like the below:
72/159= (2 x 2 x 2 x 3 x 3) / (3 x 53)

step 5 Check and reduce the factors of 72 and 159 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 3) / (3 x 53)
= (2 x 2 x 2 x 3)/( 53)
72/159 = 24/53
Hence,
72/159 in simplest form is 24/53.

72/159 simplified is 24/53, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 72/159 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 72/159 in its lowest terms.