168/284 Simplified

Learn how to find what is 168/284 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 168/284 in simplest form.

To reduce 168/284 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 168/284 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 168 and 284 is 4. Dividing both the numerator and denominator by GCF, the fraction 168/284 becomes 42/71 which is the simplest form.

168/284 Simplified as a Fraction
Using Factorization:
168/284 = (?)
168/284 = (2 x 2 x 2 x 3 x 7)/(2 x 2 x 71)      write 168/284 in terms of factors
= 42/71
168/284 = 42/71
168/284 simplified is 42/71

Using GCF
168/284 = (?)
GCF of 168 and 284 is 4.
168/284 = (168/4)/(284/4)
= 42/71
168/284 = 42/71
168/284 simplified is 42/71 in fraction form
where,
168/284 is the given fraction to be simplified,
42/71 is the lowest term of 168/284.

Notes: 168/284 simplified in lowest terms
1. 168/284 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 168 and 284 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 168/284 can be represented in its reduced form.
2. On the other hand, you can also reduce 168/284 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 168/284 becomes (2 x 2 x 2 x 3 x 7)/(2 x 2 x 71). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 168/284 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 168/284

what to be found:
168/284 = ?
Reduce 168/284 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 168/284.
Prime factors of 168 = 2 x 2 x 2 x 3 x 7

step 3 Find the prime factors of the denominator of given fraction 168/284.
Prime factors of 284 = 2 x 2 x 71

step 4 Rewrite the fraction 168/284 in the form of prime factors as like the below:
168/284= (2 x 2 x 2 x 3 x 7) / (2 x 2 x 71)

step 5 Check and reduce the factors of 168 and 284 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 7) / (2 x 2 x 71)
= ( 2 x 3 x 7)/( 71)
168/284 = 42/71
Hence,
168/284 in simplest form is 42/71.

168/284 simplified is 42/71, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 168/284 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 168/284 in its lowest terms.