16/84 Simplified

Learn how to find what is 16/84 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 16/84 in simplest form.

To simplify 16/84 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 16/84 can be reduced in simplest form. In this case, the greatest common divisor of 16 and 84 is 4. Dividing both the numerator and denominator by GCD, the fraction 16/84 becomes 4/21 which is the simplest form.

Simplify 16/84 as a Fraction
Using Factorization:
16/84 = (?)
16/84 = (2 x 2 x 2 x 2)/(2 x 2 x 3 x 7)      //write 16/84 in terms of factors
= 4/21
16/84 = 4/21
16/84 simplified is 4/21

Using GCD:
16/84 = (?)
GCD of 16 and 84 is 4.
16/84 = (16/4)/(84/4)
= 4/21
16/84 = 4/21
16/84 simplified is 4/21 in fraction form
where,
16/84 is the given fraction to be simplified,
4/21 is the lowest term of 16/84.

Notes: Simplify 16/84 in lowest terms
1. 16/84 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 16 and 84 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 16/84 can be represented in its reduced form.
2. On the other hand, you can also reduce 16/84 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 16/84 becomes (2 x 2 x 2 x 2)/(2 x 2 x 3 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 16/84 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 16/84

what to be found:
16/84 = ?
Simplify 16/84 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 16/84.
Prime factors of 16 = 2 x 2 x 2 x 2

step 3 Find the prime factors of the denominator of given fraction 16/84.
Prime factors of 84 = 2 x 2 x 3 x 7

step 4 Rewrite the fraction 16/84 in the form of prime factors as like the below:
16/84= (2 x 2 x 2 x 2) / (2 x 2 x 3 x 7)

step 5 Check and reduce the factors of 16 and 84 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2) / (2 x 2 x 3 x 7)
= ( 2 x 2)/( 3 x 7)
16/84 = 4/21

Hence,
16/84 in simplest form is 4/21.

Representing fraction 16/84 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 16/84 in its lowest terms.