What is 312/477 simplified as a fraction?
312/477 in simplest form is 104/159.
Learn how to find what is 312/477 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 312/477 in simplest form.
To reduce 312/477 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 312/477 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 312 and 477 is 3. Dividing both the numerator and denominator by GCF, the fraction 312/477 becomes 104/159 which is the simplest form.
312/477 Simplified as a Fraction
Using Factorization:
312/477 = (?)
312/477 = (2 x 2 x 2 x 3 x 13)/(3 x 3 x 53) write 312/477 in terms of factors
= 104/159
312/477 = 104/159
312/477 simplified is 104/159
Using GCF
312/477 = (?)
GCF of 312 and 477 is 3.
312/477 = (312/3)/(477/3)
= 104/159
312/477 = 104/159
312/477 simplified is 104/159 in fraction form
where,
312/477 is the given fraction to be simplified,
104/159 is the lowest term of 312/477.
Notes: 312/477 simplified in lowest terms
1. 312/477 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 312 and 477 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 312/477 can be represented in its reduced form.
2. On the other hand, you can also reduce 312/477 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 312/477 becomes (2 x 2 x 2 x 3 x 13)/(3 x 3 x 53). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 312/477 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 312/477
what to be found:
312/477 = ?
Reduce 312/477 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 312/477.
Prime factors of 312 = 2 x 2 x 2 x 3 x 13
step 3 Find the prime factors of the denominator of given fraction 312/477.
Prime factors of 477 = 3 x 3 x 53
step 4 Rewrite the fraction 312/477 in the form of prime factors as like the below:
312/477= (2 x 2 x 2 x 3 x 13) / (3 x 3 x 53)
step 5 Check and reduce the factors of 312 and 477 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 13) / (3 x 3 x 53)
= (2 x 2 x 2 x 13)/( 3 x 53)
312/477 = 104/159
Hence,
312/477 in simplest form is 104/159.
312/477 simplified is 104/159, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 312/477 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 312/477 in its lowest terms.