75/159 Simplified

Learn how to find what is 75/159 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 75/159 in simplest form.

To simplify 75/159 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 75/159 can be reduced in simplest form. In this case, the greatest common divisor of 75 and 159 is 3. Dividing both the numerator and denominator by GCD, the fraction 75/159 becomes 25/53 which is the simplest form.

Simplify 75/159 as a Fraction
Using Factorization:
75/159 = (?)
75/159 = (3 x 5 x 5)/(3 x 53)      //write 75/159 in terms of factors
= 25/53
75/159 = 25/53
75/159 simplified is 25/53

Using GCD:
75/159 = (?)
GCD of 75 and 159 is 3.
75/159 = (75/3)/(159/3)
= 25/53
75/159 = 25/53
75/159 simplified is 25/53 in fraction form
where,
75/159 is the given fraction to be simplified,
25/53 is the lowest term of 75/159.

Notes: Simplify 75/159 in lowest terms
1. 75/159 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 75 and 159 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 75/159 can be represented in its reduced form.
2. On the other hand, you can also reduce 75/159 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 75/159 becomes (3 x 5 x 5)/(3 x 53). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 75/159 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 75/159

what to be found:
75/159 = ?
Simplify 75/159 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 75/159.
Prime factors of 75 = 3 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 75/159.
Prime factors of 159 = 3 x 53

step 4 Rewrite the fraction 75/159 in the form of prime factors as like the below:
75/159= (3 x 5 x 5) / (3 x 53)

step 5 Check and reduce the factors of 75 and 159 if any factors in the numerator and denominator cancel each other:
= (3 x 5 x 5) / (3 x 53)
= ( 5 x 5)/( 53)
75/159 = 25/53

Hence,
75/159 in simplest form is 25/53.

Representing fraction 75/159 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 75/159 in its lowest terms.