152/84 Simplified

Learn how to find what is 152/84 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 152/84 in simplest form.

To reduce 152/84 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 152/84 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 152 and 84 is 4. Dividing both the numerator and denominator by GCF, the fraction 152/84 becomes 38/21 which is the simplest form.

152/84 Simplified as a Fraction
Using Factorization:
152/84 = (?)
152/84 = (2 x 2 x 2 x 19)/(2 x 2 x 3 x 7)      write 152/84 in terms of factors
= 38/21
152/84 = 38/21
152/84 simplified is 38/21

Using GCF
152/84 = (?)
GCF of 152 and 84 is 4.
152/84 = (152/4)/(84/4)
= 38/21
152/84 = 38/21
152/84 simplified is 38/21 in fraction form
where,
152/84 is the given fraction to be simplified,
38/21 is the lowest term of 152/84.

Notes: 152/84 simplified in lowest terms
1. 152/84 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 152 and 84 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 152/84 can be represented in its reduced form.
2. On the other hand, you can also reduce 152/84 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 152/84 becomes (2 x 2 x 2 x 19)/(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 152/84 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 152/84

what to be found:
152/84 = ?
Reduce 152/84 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 152/84.
Prime factors of 152 = 2 x 2 x 2 x 19

step 3 Find the prime factors of the denominator of given fraction 152/84.
Prime factors of 84 = 2 x 2 x 3 x 7

step 4 Rewrite the fraction 152/84 in the form of prime factors as like the below:
152/84= (2 x 2 x 2 x 19) / (2 x 2 x 3 x 7)

step 5 Check and reduce the factors of 152 and 84 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 19) / (2 x 2 x 3 x 7)
= ( 2 x 19)/( 3 x 7)
152/84 = 38/21
Hence,
152/84 in simplest form is 38/21.

152/84 simplified is 38/21, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 152/84 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 152/84 in its lowest terms.