What is 957/495 simplified as a fraction?
957/495 in simplest form is 29/15.
Learn how to find what is 957/495 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 957/495 in simplest form.
To reduce 957/495 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 957/495 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 957 and 495 is 33. Dividing both the numerator and denominator by GCF, the fraction 957/495 becomes 29/15 which is the simplest form.
957/495 Simplified as a Fraction
Using Factorization:
957/495 = (?)
957/495 = (3 x 11 x 29)/(3 x 3 x 5 x 11) write 957/495 in terms of factors
= 29/15
957/495 = 29/15
957/495 simplified is 29/15
Using GCF
957/495 = (?)
GCF of 957 and 495 is 33.
957/495 = (957/33)/(495/33)
= 29/15
957/495 = 29/15
957/495 simplified is 29/15 in fraction form
where,
957/495 is the given fraction to be simplified,
29/15 is the lowest term of 957/495.
Notes: 957/495 simplified in lowest terms
1. 957/495 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 957 and 495 is 33 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 957/495 can be represented in its reduced form.
2. On the other hand, you can also reduce 957/495 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 957/495 becomes (3 x 11 x 29)/(3 x 3 x 5 x 11). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 957/495 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 957/495
what to be found:
957/495 = ?
Reduce 957/495 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 957/495.
Prime factors of 957 = 3 x 11 x 29
step 3 Find the prime factors of the denominator of given fraction 957/495.
Prime factors of 495 = 3 x 3 x 5 x 11
step 4 Rewrite the fraction 957/495 in the form of prime factors as like the below:
957/495= (3 x 11 x 29) / (3 x 3 x 5 x 11)
step 5 Check and reduce the factors of 957 and 495 if any factors in the numerator and denominator cancel each other:
= (3 x 11 x 29) / (3 x 3 x 5 x 11)
= ( 29)/( 3 x 5 )
957/495 = 29/15
Hence,
957/495 in simplest form is 29/15.
957/495 simplified is 29/15, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 957/495 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 957/495 in its lowest terms.