11/21 Simplified

Learn how to find what is 11/21 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 11/21 in simplest form.

To reduce 11/21 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 11/21 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 11 and 21 is 1. Dividing both the numerator and denominator by GCF, the fraction 11/21 becomes 11/21 which is the simplest form.

11/21 Simplified as a Fraction
Using Factorization:
11/21 = (?)
11/21 = (11)/(3 x 7)      write 11/21 in terms of factors
= 11/21
11/21 = 11/21
11/21 simplified is 11/21

Using GCF
11/21 = (?)
GCF of 11 and 21 is 1.
11/21 = (11/1)/(21/1)
= 11/21
11/21 = 11/21
11/21 simplified is 11/21 in fraction form

Notes: 11/21 simplified in lowest terms
1. 11/21 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 11 and 21 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 11/21 can be represented in its reduced form.
2. On the other hand, you can also reduce 11/21 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 11/21 becomes (11)/(3 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 11/21 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 11/21

what to be found:
11/21 = ?
Reduce 11/21 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 11/21.
Prime factors of 11 = 11

step 3 Find the prime factors of the denominator of given fraction 11/21.
Prime factors of 21 = 3 x 7

step 4 Rewrite the fraction 11/21 in the form of prime factors as like the below:
11/21= (11) / (3 x 7)

step 5 The given fraction 11/21 can't be simplified further, because the numerator 11 of the given fraction is a prime number and not the factor of denominator 21.
Hence,
11/21 simplest form is 11/21.
11/21 simplified is 11/21, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 11/21 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 11/21 in its lowest terms.