What is 96/6 simplified as a fraction?
96/6 in simplest form is 16/1.
Learn how to find what is 96/6 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 96/6 in simplest form.
To reduce 96/6 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 96/6 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 96 and 6 is 6. Dividing both the numerator and denominator by GCF, the fraction 96/6 becomes 16/1 which is the simplest form.
96/6 Simplified as a Fraction
Using Factorization:
96/6 = (?)
96/6 = (2 x 2 x 2 x 2 x 2 x 3)/(2 x 3) write 96/6 in terms of factors
= 16/1
96/6 = 16/1
96/6 simplified is 16/1
Using GCF
96/6 = (?)
GCF of 96 and 6 is 6.
96/6 = (96/6)/(6/6)
= 16/1
96/6 = 16/1
96/6 simplified is 16/1 in fraction form
where,
96/6 is the given fraction to be simplified,
16/1 is the lowest term of 96/6.
Notes: 96/6 simplified in lowest terms
1. 96/6 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 96 and 6 is 6 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 96/6 can be represented in its reduced form.
2. On the other hand, you can also reduce 96/6 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 96/6 becomes (2 x 2 x 2 x 2 x 2 x 3)/(2 x 3). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 96/6 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 96/6
what to be found:
96/6 = ?
Reduce 96/6 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 96/6.
Prime factors of 96 = 2 x 2 x 2 x 2 x 2 x 3
step 3 Find the prime factors of the denominator of given fraction 96/6.
Prime factors of 6 = 2 x 3
step 4 Rewrite the fraction 96/6 in the form of prime factors as like the below:
96/6= (2 x 2 x 2 x 2 x 2 x 3) / (2 x 3)
step 5 Check and reduce the factors of 96 and 6 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 2 x 3) / (2 x 3)
= ( 2 x 2 x 2 x 2 )/(1)
96/6 = 16/1
Hence,
96/6 in simplest form is 16/1.
96/6 simplified is 16/1, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 96/6 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 96/6 in its lowest terms.