9/21 Simplified

Learn how to find what is 9/21 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 9/21 in simplest form.

To reduce 9/21 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 9/21 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 9 and 21 is 3. Dividing both the numerator and denominator by GCF, the fraction 9/21 becomes 3/7 which is the simplest form.

9/21 Simplified as a Fraction
Using Factorization:
9/21 = (?)
9/21 = (3 x 3)/(3 x 7)      write 9/21 in terms of factors
= 3/7
9/21 = 3/7
9/21 simplified is 3/7

Using GCF
9/21 = (?)
GCF of 9 and 21 is 3.
9/21 = (9/3)/(21/3)
= 3/7
9/21 = 3/7
9/21 simplified is 3/7 in fraction form
where,
9/21 is the given fraction to be simplified,
3/7 is the lowest term of 9/21.

Notes: 9/21 simplified in lowest terms
1. 9/21 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 9 and 21 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 9/21 can be represented in its reduced form.
2. On the other hand, you can also reduce 9/21 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 9/21 becomes (3 x 3)/(3 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 9/21 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 9/21

what to be found:
9/21 = ?
Reduce 9/21 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 9/21.
Prime factors of 9 = 3 x 3

step 3 Find the prime factors of the denominator of given fraction 9/21.
Prime factors of 21 = 3 x 7

step 4 Rewrite the fraction 9/21 in the form of prime factors as like the below:
9/21= (3 x 3) / (3 x 7)

step 5 Check and reduce the factors of 9 and 21 if any factors in the numerator and denominator cancel each other:
= (3 x 3) / (3 x 7)
= ( 3)/( 7)
9/21 = 3/7
Hence,
9/21 in simplest form is 3/7.

9/21 simplified is 3/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 9/21 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 9/21 in its lowest terms.