What is 94/310 simplified as a fraction?
94/310 in simplest form is 47/155.
Learn how to find what is 94/310 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 94/310 in simplest form.
To reduce 94/310 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 94/310 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 94 and 310 is 2. Dividing both the numerator and denominator by GCF, the fraction 94/310 becomes 47/155 which is the simplest form.
94/310 Simplified as a Fraction
Using Factorization:
94/310 = (?)
94/310 = (2 x 47)/(2 x 5 x 31) write 94/310 in terms of factors
= 47/155
94/310 = 47/155
94/310 simplified is 47/155
Using GCF
94/310 = (?)
GCF of 94 and 310 is 2.
94/310 = (94/2)/(310/2)
= 47/155
94/310 = 47/155
94/310 simplified is 47/155 in fraction form
where,
94/310 is the given fraction to be simplified,
47/155 is the lowest term of 94/310.
Notes: 94/310 simplified in lowest terms
1. 94/310 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 94 and 310 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 94/310 can be represented in its reduced form.
2. On the other hand, you can also reduce 94/310 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 94/310 becomes (2 x 47)/(2 x 5 x 31). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 94/310 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 94/310
what to be found:
94/310 = ?
Reduce 94/310 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 94/310.
Prime factors of 94 = 2 x 47
step 3 Find the prime factors of the denominator of given fraction 94/310.
Prime factors of 310 = 2 x 5 x 31
step 4 Rewrite the fraction 94/310 in the form of prime factors as like the below:
94/310= (2 x 47) / (2 x 5 x 31)
step 5 Check and reduce the factors of 94 and 310 if any factors in the numerator and denominator cancel each other:
= (2 x 47) / (2 x 5 x 31)
= ( 47)/( 5 x 31)
94/310 = 47/155
Hence,
94/310 in simplest form is 47/155.
94/310 simplified is 47/155, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 94/310 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 94/310 in its lowest terms.