57/133 Simplified

Learn how to find what is 57/133 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 57/133 in simplest form.

To reduce 57/133 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 57/133 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 57 and 133 is 19. Dividing both the numerator and denominator by GCF, the fraction 57/133 becomes 3/7 which is the simplest form.

57/133 Simplified as a Fraction
Using Factorization:
57/133 = (?)
57/133 = (3 x 19)/(7 x 19)      write 57/133 in terms of factors
= 3/7
57/133 = 3/7
57/133 simplified is 3/7

Using GCF
57/133 = (?)
GCF of 57 and 133 is 19.
57/133 = (57/19)/(133/19)
= 3/7
57/133 = 3/7
57/133 simplified is 3/7 in fraction form
where,
57/133 is the given fraction to be simplified,
3/7 is the lowest term of 57/133.

Notes: 57/133 simplified in lowest terms
1. 57/133 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 57 and 133 is 19 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 57/133 can be represented in its reduced form.
2. On the other hand, you can also reduce 57/133 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 57/133 becomes (3 x 19)/(7 x 19). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 57/133 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 57/133

what to be found:
57/133 = ?
Reduce 57/133 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 57/133.
Prime factors of 57 = 3 x 19

step 3 Find the prime factors of the denominator of given fraction 57/133.
Prime factors of 133 = 7 x 19

step 4 Rewrite the fraction 57/133 in the form of prime factors as like the below:
57/133= (3 x 19) / (7 x 19)

step 5 Check and reduce the factors of 57 and 133 if any factors in the numerator and denominator cancel each other:
= (3 x 19) / (7 x 19)
= (3 )/(7 )
57/133 = 3/7
Hence,
57/133 in simplest form is 3/7.

57/133 simplified is 3/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 57/133 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 57/133 in its lowest terms.