What is 2176/169 simplified as a fraction?
2176/169 in simplest form is 2176/169.
Learn how to find what is 2176/169 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 2176/169 in simplest form.
To reduce 2176/169 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 2176/169 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 2176 and 169 is 1. Dividing both the numerator and denominator by GCF, the fraction 2176/169 becomes 2176/169 which is the simplest form.
2176/169 Simplified as a Fraction
Using Factorization:
2176/169 = (?)
2176/169 = (2 x 2 x 2 x 2 x 2 x 2 x 2 x 17)/(13 x 13) write 2176/169 in terms of factors
= 2176/169
2176/169 = 2176/169
2176/169 simplified is 2176/169
Using GCF
2176/169 = (?)
GCF of 2176 and 169 is 1.
2176/169 = (2176/1)/(169/1)
= 2176/169
2176/169 = 2176/169
2176/169 simplified is 2176/169 in fraction form
Notes: 2176/169 simplified in lowest terms
1. 2176/169 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 2176 and 169 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 2176/169 can be represented in its reduced form.
2. On the other hand, you can also reduce 2176/169 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 2176/169 becomes (2 x 2 x 2 x 2 x 2 x 2 x 2 x 17)/(13 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 2176/169 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 2176/169
what to be found:
2176/169 = ?
Reduce 2176/169 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 2176/169.
Prime factors of 2176 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17
step 3 Find the prime factors of the denominator of given fraction 2176/169.
Prime factors of 169 = 13 x 13
step 4 Rewrite the fraction 2176/169 in the form of prime factors as like the below:
2176/169= (2 x 2 x 2 x 2 x 2 x 2 x 2 x 17) / (13 x 13)
step 5 Check and reduce the factors of 2176 and 169 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 2 x 2 x 2 x 17) / (13 x 13)
= (2 x 2 x 2 x 2 x 2 x 2 x 2 x 17)/(13 x 13)
2176/169 = 2176/169
Hence,
2176/169 in simplest form is 2176/169.
2176/169 simplified is 2176/169, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 2176/169 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 2176/169 in its lowest terms.