What is 21/9 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 21/9 Simplified?

Answer

Fraction 21/9 simplified to lowest terms is 7/3

21

9

=

7

3

7/3 is the simplified fraction of 21/9.

Since the numerator [21] is greater than the denominator [9] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

7

3

=2

1

3

Simplifying Fraction 21/9 using GCF

The first way to simplify the fraction 21/9 is to use the Greatest Common Factor (GCF) of our numerator [21] and denominator [9].

GCF of 21 and 9 is 3

And then divide both the numerator [21] and denominator [9] by the GCF [3].

21 ÷ 3

9 ÷ 3

=

7

3

Simplifying Fraction 21/9 using Prime Factors

Another method to reduce the fraction 21/9 to its simplest form is to use the Prime Factors of numerator [21] and denominator [9].

Prime Factors of 21: 3,7

Prime Factors of 9: 3,3

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

3 × 7

3 × 3

=

7

3

Simplifying Fraction 21/9 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [21] and denominator [9] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

21 ÷ 3

9 ÷ 3

=

7

3

Fraction Simplification Table

Fraction	Lowest Terms
21/1	21/1
21/2	21/2
21/3	7/1
21/4	21/4
21/5	21/5
21/6	7/2
21/7	3/1
21/8	21/8
21/9	7/3
21/10	21/10
21/11	21/11
21/12	7/4
21/13	21/13
21/14	3/2
21/15	7/5
21/16	21/16
21/17	21/17
21/18	7/6
21/19	21/19
21/20	21/20
21/21	1/1
21/22	21/22
21/23	21/23
21/24	7/8 (⅞)
21/25	21/25
21/26	21/26
21/27	7/9
21/28	3/4 (¾)
21/29	21/29
21/30	7/10

Fraction Simplifier Calculator

This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 21/9 Simplified? (The answer is: 7/3). Enter the fraction (numerator and denominator) (e.g. '21/9') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 21/9) means reducing it to its simplest form. A fraction is considered simplified if its numerator and denominator have no common factors other than 1 (one).

21/9 Simplified