132/59 Simplified

Learn how to find what is 132/59 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 132/59 in simplest form.

To reduce 132/59 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 132/59 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 132 and 59 is 1. Dividing both the numerator and denominator by GCF, the fraction 132/59 becomes 132/59 which is the simplest form.

132/59 Simplified as a Fraction
Using Factorization:
132/59 = (?)
132/59 = (2 x 2 x 3 x 11)/(59)      write 132/59 in terms of factors
= 132/59
132/59 = 132/59
132/59 simplified is 132/59

Using GCF
132/59 = (?)
GCF of 132 and 59 is 1.
132/59 = (132/1)/(59/1)
= 132/59
132/59 = 132/59
132/59 simplified is 132/59 in fraction form

Notes: 132/59 simplified in lowest terms
1. 132/59 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 132 and 59 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 132/59 can be represented in its reduced form.
2. On the other hand, you can also reduce 132/59 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 132/59 becomes (2 x 2 x 3 x 11)/(59). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 132/59 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 132/59

what to be found:
132/59 = ?
Reduce 132/59 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 132/59.
Prime factors of 132 = 2 x 2 x 3 x 11

step 3 Find the prime factors of the denominator of given fraction 132/59.
Prime factors of 59 = 59

step 4 Rewrite the fraction 132/59 in the form of prime factors as like the below:
132/59= (2 x 2 x 3 x 11) / (59)

step 5 The given fraction 132/59 can't be simplified further, because the denominator 59 of the given fraction is a prime number and not the factor of numerator 132.
Hence,
132/59 simplest form is 132/59.
132/59 simplified is 132/59, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 132/59 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 132/59 in its lowest terms.