What is 130/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 130/360 Simplified?

Answer: Fraction 130/360 simplified to lowest terms is 13/36

130

/

360

=

13

/

36

13/36 is the simplified fraction of 130/360.

Simplifying Fraction 130/360 using GCF

The first way to simplify the fraction 130/360 is to use the Greatest Common Factor (GCF) of our numerator [130] and denominator [360].

GCF of 130 and 360 is 10

And then divide both the numerator [130] and denominator [360] by the GCF [10].

130 ÷ 10

/

360 ÷ 10

=

13

/

36

Simplifying Fraction 130/360 using Prime Factors

Another method to reduce the fraction 130/360 to its simplest form is to use the Prime Factors of numerator [130] and denominator [360].

Prime Factors of 130: 2,5,13

Prime Factors of 360: 2,2,2,3,3,5

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

2 × 5 × 13

/

2 × 2 × 2 × 3 × 3 × 5

=

13

/

36

Simplifying Fraction 130/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [130] and denominator [360] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

130 ÷ 2

/

360 ÷ 2

=

65

/

180

65 ÷ 5

/

180 ÷ 5

=

13

/

36

Fraction Simplification Table

Fraction	Lowest Terms
130/345	26/69
130/346	65/173
130/347	130/347
130/348	65/174
130/349	130/349
130/350	13/35
130/351	10/27
130/352	65/176
130/353	130/353
130/354	65/177
130/355	26/71
130/356	65/178
130/357	130/357
130/358	65/179
130/359	130/359
130/360	13/36
130/361	130/361
130/362	65/181
130/363	130/363
130/364	5/14
130/365	26/73
130/366	65/183
130/367	130/367
130/368	65/184
130/369	130/369
130/370	13/37
130/371	130/371
130/372	65/186
130/373	130/373
130/374	65/187

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 130/360 Simplified? (The answer is: 13/36). Enter the fraction (numerator and denominator) (e.g. '130/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 130/360) 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).

130/360 Simplified