What is 93/975 simplified as a fraction?
93/975 in simplest form is 31/325.
Learn how to find what is 93/975 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 93/975 in simplest form.
To reduce 93/975 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 93/975 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 93 and 975 is 3. Dividing both the numerator and denominator by GCF, the fraction 93/975 becomes 31/325 which is the simplest form.
93/975 Simplified as a Fraction
Using Factorization:
93/975 = (?)
93/975 = (3 x 31)/(3 x 5 x 5 x 13) write 93/975 in terms of factors
= 31/325
93/975 = 31/325
93/975 simplified is 31/325
Using GCF
93/975 = (?)
GCF of 93 and 975 is 3.
93/975 = (93/3)/(975/3)
= 31/325
93/975 = 31/325
93/975 simplified is 31/325 in fraction form
where,
93/975 is the given fraction to be simplified,
31/325 is the lowest term of 93/975.
Notes: 93/975 simplified in lowest terms
1. 93/975 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 93 and 975 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 93/975 can be represented in its reduced form.
2. On the other hand, you can also reduce 93/975 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 93/975 becomes (3 x 31)/(3 x 5 x 5 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 93/975 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 93/975
what to be found:
93/975 = ?
Reduce 93/975 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 93/975.
Prime factors of 93 = 3 x 31
step 3 Find the prime factors of the denominator of given fraction 93/975.
Prime factors of 975 = 3 x 5 x 5 x 13
step 4 Rewrite the fraction 93/975 in the form of prime factors as like the below:
93/975= (3 x 31) / (3 x 5 x 5 x 13)
step 5 Check and reduce the factors of 93 and 975 if any factors in the numerator and denominator cancel each other:
= (3 x 31) / (3 x 5 x 5 x 13)
= ( 31)/( 5 x 5 x 13)
93/975 = 31/325
Hence,
93/975 in simplest form is 31/325.
93/975 simplified is 31/325, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 93/975 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 93/975 in its lowest terms.