What is 39/30 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 39/30 Simplified?

Answer: Fraction 39/30 simplified to lowest terms is 13/10

39

/

30

=

13

/

10

13/10 is the simplified fraction of 39/30.

Since the numerator [39] is greater than the denominator [30] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

13

/

10

=1

3

/

10

Simplifying Fraction 39/30 using GCF

The first way to simplify the fraction 39/30 is to use the Greatest Common Factor (GCF) of our numerator [39] and denominator [30].

GCF of 39 and 30 is 3

And then divide both the numerator [39] and denominator [30] by the GCF [3].

39 ÷ 3

/

30 ÷ 3

=

13

/

10

Simplifying Fraction 39/30 using Prime Factors

Another method to reduce the fraction 39/30 to its simplest form is to use the Prime Factors of numerator [39] and denominator [30].

Prime Factors of 39: 3,13

Prime Factors of 30: 2,3,5

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

3 × 13

/

2 × 3 × 5

=

13

/

10

Simplifying Fraction 39/30 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [39] and denominator [30] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

39 ÷ 3

/

30 ÷ 3

=

13

/

10

Fraction Simplification Table

Fraction	Lowest Terms
39/15	13/5
39/16	39/16
39/17	39/17
39/18	13/6
39/19	39/19
39/20	39/20
39/21	13/7
39/22	39/22
39/23	39/23
39/24	13/8
39/25	39/25
39/26	3/2
39/27	13/9
39/28	39/28
39/29	39/29
39/30	13/10
39/31	39/31
39/32	39/32
39/33	13/11
39/34	39/34
39/35	39/35
39/36	13/12
39/37	39/37
39/38	39/38
39/39	1/1
39/40	39/40
39/41	39/41
39/42	13/14
39/43	39/43
39/44	39/44

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 39/30 Simplified? (The answer is: 13/10). Enter the fraction (numerator and denominator) (e.g. '39/30') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 39/30) 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).

39/30 Simplified