What is 120/130 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 120/130 Simplified?

Answer: Fraction 120/130 simplified to lowest terms is 12/13

120

/

130

=

12

/

13

12/13 is the simplified fraction of 120/130.

Simplifying Fraction 120/130 using GCF

The first way to simplify the fraction 120/130 is to use the Greatest Common Factor (GCF) of our numerator [120] and denominator [130].

GCF of 120 and 130 is 10

And then divide both the numerator [120] and denominator [130] by the GCF [10].

120 ÷ 10

/

130 ÷ 10

=

12

/

13

Simplifying Fraction 120/130 using Prime Factors

Another method to reduce the fraction 120/130 to its simplest form is to use the Prime Factors of numerator [120] and denominator [130].

Prime Factors of 120: 2,2,2,3,5

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 × 2 × 2 × 3 × 5

/

2 × 5 × 13

=

12

/

13

Simplifying Fraction 120/130 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [120] 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.

120 ÷ 2

/

130 ÷ 2

=

60

/

65

60 ÷ 5

/

65 ÷ 5

=

12

/

13

Related Calculations

120 is what percent less than 130?

Fraction Simplification Table

Fraction	Lowest Terms
120/115	24/23
120/116	30/29
120/117	40/39
120/118	60/59
120/119	120/119
120/120	1/1
120/121	120/121
120/122	60/61
120/123	40/41
120/124	30/31
120/125	24/25
120/126	20/21
120/127	120/127
120/128	15/16
120/129	40/43
120/130	12/13
120/131	120/131
120/132	10/11
120/133	120/133
120/134	60/67
120/135	8/9
120/136	15/17
120/137	120/137
120/138	20/23
120/139	120/139
120/140	6/7
120/141	40/47
120/142	60/71
120/143	120/143
120/144	5/6 (⅚)

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 120/130 Simplified? (The answer is: 12/13). Enter the fraction (numerator and denominator) (e.g. '120/130') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 120/130) 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).

120/130 Simplified