What is 30/130 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 30/130 Simplified?

Answer: Fraction 30/130 simplified to lowest terms is 3/13

30

/

130

=

3

/

13

3/13 is the simplified fraction of 30/130.

Simplifying Fraction 30/130 using GCF

The first way to simplify the fraction 30/130 is to use the Greatest Common Factor (GCF) of our numerator [30] and denominator [130].

GCF of 30 and 130 is 10

And then divide both the numerator [30] and denominator [130] by the GCF [10].

30 ÷ 10

/

130 ÷ 10

=

3

/

13

Simplifying Fraction 30/130 using Prime Factors

Another method to reduce the fraction 30/130 to its simplest form is to use the Prime Factors of numerator [30] and denominator [130].

Prime Factors of 30: 2,3,5

Prime Factors of 130: 2,5,13

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

2 × 3 × 5

/

2 × 5 × 13

=

3

/

13

Simplifying Fraction 30/130 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [30] and denominator [130] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

30 ÷ 2

/

130 ÷ 2

=

15

/

65

15 ÷ 5

/

65 ÷ 5

=

3

/

13

Related Calculations

Fraction Simplification Table

Fraction	Lowest Terms
30/115	6/23
30/116	15/58
30/117	10/39
30/118	15/59
30/119	30/119
30/120	1/4 (¼)
30/121	30/121
30/122	15/61
30/123	10/41
30/124	15/62
30/125	6/25
30/126	5/21
30/127	30/127
30/128	15/64
30/129	10/43
30/130	3/13
30/131	30/131
30/132	5/22
30/133	30/133
30/134	15/67
30/135	2/9
30/136	15/68
30/137	30/137
30/138	5/23
30/139	30/139
30/140	3/14
30/141	10/47
30/142	15/71
30/143	30/143
30/144	5/24

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 30/130 Simplified? (The answer is: 3/13). Enter the fraction (numerator and denominator) (e.g. '30/130') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 30/130) 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).

30/130 Simplified