94/84 Simplified

Learn how to find what is 94/84 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 94/84 in simplest form.

To simplify 94/84 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 94/84 can be reduced in simplest form. In this case, the greatest common divisor of 94 and 84 is 2. Dividing both the numerator and denominator by GCD, the fraction 94/84 becomes 47/42 which is the simplest form.

Simplify 94/84 as a Fraction
Using Factorization:
94/84 = (?)
94/84 = (2 x 47)/(2 x 2 x 3 x 7)      //write 94/84 in terms of factors
= 47/42
94/84 = 47/42
94/84 simplified is 47/42

Using GCD:
94/84 = (?)
GCD of 94 and 84 is 2.
94/84 = (94/2)/(84/2)
= 47/42
94/84 = 47/42
94/84 simplified is 47/42 in fraction form
where,
94/84 is the given fraction to be simplified,
47/42 is the lowest term of 94/84.

Notes: Simplify 94/84 in lowest terms
1. 94/84 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 94 and 84 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 94/84 can be represented in its reduced form.
2. On the other hand, you can also reduce 94/84 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 94/84 becomes (2 x 47)/(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 94/84 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 94/84

what to be found:
94/84 = ?
Simplify 94/84 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 94/84.
Prime factors of 94 = 2 x 47

step 3 Find the prime factors of the denominator of given fraction 94/84.
Prime factors of 84 = 2 x 2 x 3 x 7

step 4 Rewrite the fraction 94/84 in the form of prime factors as like the below:
94/84= (2 x 47) / (2 x 2 x 3 x 7)

step 5 Check and reduce the factors of 94 and 84 if any factors in the numerator and denominator cancel each other:
= (2 x 47) / (2 x 2 x 3 x 7)
= ( 47)/( 2 x 3 x 7)
94/84 = 47/42

Hence,
94/84 in simplest form is 47/42.

Representing fraction 94/84 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 94/84 in its lowest terms.