What is 38/30 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 38/30 Simplified?

Answer: Fraction 38/30 simplified to lowest terms is 19/15

38

/

30

=

19

/

15

19/15 is the simplified fraction of 38/30.

Since the numerator [38] 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:

19

/

15

=1

4

/

15

Simplifying Fraction 38/30 using GCF

The first way to simplify the fraction 38/30 is to use the Greatest Common Factor (GCF) of our numerator [38] and denominator [30].

GCF of 38 and 30 is 2

And then divide both the numerator [38] and denominator [30] by the GCF [2].

38 ÷ 2

/

30 ÷ 2

=

19

/

15

Simplifying Fraction 38/30 using Prime Factors

Another method to reduce the fraction 38/30 to its simplest form is to use the Prime Factors of numerator [38] and denominator [30].

Prime Factors of 38: 2,19

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:

2 × 19

/

2 × 3 × 5

=

19

/

15

Simplifying Fraction 38/30 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [38] 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.

38 ÷ 2

/

30 ÷ 2

=

19

/

15

Fraction Simplification Table

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

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 38/30 Simplified? (The answer is: 19/15). Enter the fraction (numerator and denominator) (e.g. '38/30') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 38/30) 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).

38/30 Simplified