What is 30/13 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 30/13 Simplified?

Answer: Fraction 30/13 simplified to lowest terms is 30/13

30

/

13

The fraction 30/13 is already in the simplest form, so it isn't possible to reduce it any further - numerator 30 and denominator 13 have no common factors other than 1 (one)

Since the numerator [30] is greater than the denominator [13] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

30

/

13

=2

4

/

13

Simplifying Fraction 30/13 using GCF

The first way to simplify the fraction 30/13 is to use the Greatest Common Factor (GCF) of our numerator [30] and denominator [13].

GCF of 30 and 13 is 1

And then divide both the numerator [30] and denominator [13] by the GCF [1].

30 ÷ 1

/

13 ÷ 1

=

30

/

13

Simplifying Fraction 30/13 using Prime Factors

Another method to reduce the fraction 30/13 to its simplest form is to use the Prime Factors of numerator [30] and denominator [13].

Prime Factors of 30: 2,3,5

Prime Factors of 13: 13

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

2 × 3 × 5

/

13

=

30

/

13

Simplifying Fraction 30/13 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [30] and denominator [13] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

In our case (30/13) there is no possible numbers to divide our numerator and denominator.

Related Calculations

Fraction Simplification Table

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

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 30/13 Simplified? (The answer is: 30/13). Enter the fraction (numerator and denominator) (e.g. '30/13') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 30/13) 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).

30/13 Simplified