102/316 Simplified

Learn how to find what is 102/316 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 102/316 in simplest form.

To reduce 102/316 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 102/316 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 102 and 316 is 2. Dividing both the numerator and denominator by GCF, the fraction 102/316 becomes 51/158 which is the simplest form.

102/316 Simplified as a Fraction
Using Factorization:
102/316 = (?)
102/316 = (2 x 3 x 17)/(2 x 2 x 79)      write 102/316 in terms of factors
= 51/158
102/316 = 51/158
102/316 simplified is 51/158

Using GCF
102/316 = (?)
GCF of 102 and 316 is 2.
102/316 = (102/2)/(316/2)
= 51/158
102/316 = 51/158
102/316 simplified is 51/158 in fraction form
where,
102/316 is the given fraction to be simplified,
51/158 is the lowest term of 102/316.

Notes: 102/316 simplified in lowest terms
1. 102/316 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 102 and 316 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 102/316 can be represented in its reduced form.
2. On the other hand, you can also reduce 102/316 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 102/316 becomes (2 x 3 x 17)/(2 x 2 x 79). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 102/316 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 102/316

what to be found:
102/316 = ?
Reduce 102/316 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 102/316.
Prime factors of 102 = 2 x 3 x 17

step 3 Find the prime factors of the denominator of given fraction 102/316.
Prime factors of 316 = 2 x 2 x 79

step 4 Rewrite the fraction 102/316 in the form of prime factors as like the below:
102/316= (2 x 3 x 17) / (2 x 2 x 79)

step 5 Check and reduce the factors of 102 and 316 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 17) / (2 x 2 x 79)
= ( 3 x 17)/( 2 x 79)
102/316 = 51/158
Hence,
102/316 in simplest form is 51/158.

102/316 simplified is 51/158, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 102/316 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 102/316 in its lowest terms.