17/153 Simplified

Learn how to find what is 17/153 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 17/153 in simplest form.

To reduce 17/153 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 17/153 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 17 and 153 is 17. Dividing both the numerator and denominator by GCF, the fraction 17/153 becomes 1/9 which is the simplest form.

17/153 Simplified as a Fraction
Using Factorization:
17/153 = (?)
17/153 = (17)/(3 x 3 x 17)      write 17/153 in terms of factors
= 1/9
17/153 = 1/9
17/153 simplified is 1/9

Using GCF
17/153 = (?)
GCF of 17 and 153 is 17.
17/153 = (17/17)/(153/17)
= 1/9
17/153 = 1/9
17/153 simplified is 1/9 in fraction form
where,
17/153 is the given fraction to be simplified,
1/9 is the lowest term of 17/153.

Notes: 17/153 simplified in lowest terms
1. 17/153 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 17 and 153 is 17 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 17/153 can be represented in its reduced form.
2. On the other hand, you can also reduce 17/153 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 17/153 becomes (17)/(3 x 3 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 17/153 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 17/153

what to be found:
17/153 = ?
Reduce 17/153 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 17/153.
Prime factors of 17 = 17

step 3 Find the prime factors of the denominator of given fraction 17/153.
Prime factors of 153 = 3 x 3 x 17

step 4 Rewrite the fraction 17/153 in the form of prime factors as like the below:
17/153= (17) / (3 x 3 x 17)

step 5 Check and reduce the factors of 17 and 153 if any factors in the numerator and denominator cancel each other:
= (17) / (3 x 3 x 17)
= (1)/(3 x 3 )
17/153 = 1/9
Hence,
17/153 in simplest form is 1/9.

17/153 simplified is 1/9, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 17/153 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 17/153 in its lowest terms.