What is 168/8 simplified as a fraction?
168/8 in simplest form is 21/1.
Learn how to find what is 168/8 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 168/8 in simplest form.
To reduce 168/8 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 168/8 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 168 and 8 is 8. Dividing both the numerator and denominator by GCF, the fraction 168/8 becomes 21/1 which is the simplest form.
168/8 Simplified as a Fraction
Using Factorization:
168/8 = (?)
168/8 = (2 x 2 x 2 x 3 x 7)/(2 x 2 x 2) write 168/8 in terms of factors
= 21/1
168/8 = 21/1
168/8 simplified is 21/1
Using GCF
168/8 = (?)
GCF of 168 and 8 is 8.
168/8 = (168/8)/(8/8)
= 21/1
168/8 = 21/1
168/8 simplified is 21/1 in fraction form
where,
168/8 is the given fraction to be simplified,
21/1 is the lowest term of 168/8.
Notes: 168/8 simplified in lowest terms
1. 168/8 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 168 and 8 is 8 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 168/8 can be represented in its reduced form.
2. On the other hand, you can also reduce 168/8 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 168/8 becomes (2 x 2 x 2 x 3 x 7)/(2 x 2 x 2). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 168/8 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 168/8
what to be found:
168/8 = ?
Reduce 168/8 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 168/8.
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 168/8.
Prime factors of 8 = 2 x 2 x 2
step 4 Rewrite the fraction 168/8 in the form of prime factors as like the below:
168/8= (2 x 2 x 2 x 3 x 7) / (2 x 2 x 2)
step 5 Check and reduce the factors of 168 and 8 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 7) / (2 x 2 x 2)
= ( 3 x 7)/(1)
168/8 = 21/1
Hence,
168/8 in simplest form is 21/1.
168/8 simplified is 21/1, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 168/8 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 168/8 in its lowest terms.