What is 45/21 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 45/21 Simplified?

Answer: Fraction 45/21 simplified to lowest terms is 15/7

45

/

21

=

15

/

7

15/7 is the simplified fraction of 45/21.

Since the numerator [45] is greater than the denominator [21] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

15

/

7

=2

1

/

7

Simplifying Fraction 45/21 using GCF

The first way to simplify the fraction 45/21 is to use the Greatest Common Factor (GCF) of our numerator [45] and denominator [21].

GCF of 45 and 21 is 3

And then divide both the numerator [45] and denominator [21] by the GCF [3].

45 ÷ 3

/

21 ÷ 3

=

15

/

7

Simplifying Fraction 45/21 using Prime Factors

Another method to reduce the fraction 45/21 to its simplest form is to use the Prime Factors of numerator [45] and denominator [21].

Prime Factors of 45: 3,3,5

Prime Factors of 21: 3,7

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

3 × 3 × 5

/

3 × 7

=

15

/

7

Simplifying Fraction 45/21 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [45] and denominator [21] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

45 ÷ 3

/

21 ÷ 3

=

15

/

7

Fraction Simplification Table

Fraction	Lowest Terms
45/6	15/2
45/7	45/7
45/8	45/8
45/9	5/1
45/10	9/2
45/11	45/11
45/12	15/4
45/13	45/13
45/14	45/14
45/15	3/1
45/16	45/16
45/17	45/17
45/18	5/2
45/19	45/19
45/20	9/4
45/21	15/7
45/22	45/22
45/23	45/23
45/24	15/8
45/25	9/5
45/26	45/26
45/27	5/3
45/28	45/28
45/29	45/29
45/30	3/2
45/31	45/31
45/32	45/32
45/33	15/11
45/34	45/34
45/35	9/7

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 45/21 Simplified? (The answer is: 15/7). Enter the fraction (numerator and denominator) (e.g. '45/21') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 45/21) 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).

45/21 Simplified