What is 144/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 144/360 Simplified?

Answer

Fraction 144/360 simplified to lowest terms is 2/5 (⅖)

144

360

=

2

5

2/5 (⅖) is the simplified fraction of 144/360.

Simplifying Fraction 144/360 using GCF

The first way to simplify the fraction 144/360 is to use the Greatest Common Factor (GCF) of our numerator [144] and denominator [360].

GCF of 144 and 360 is 72

And then divide both the numerator [144] and denominator [360] by the GCF [72].

144 ÷ 72

360 ÷ 72

=

2

5

Simplifying Fraction 144/360 using Prime Factors

Another method to reduce the fraction 144/360 to its simplest form is to use the Prime Factors of numerator [144] and denominator [360].

Prime Factors of 144: 2,2,2,2,3,3

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 × 2 × 2 × 2 × 3 × 3

2 × 2 × 2 × 3 × 3 × 5

=

2

5

Simplifying Fraction 144/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [144] 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 remainder.
144 ÷ 2
/
360 ÷ 2
=72
/
180
72 ÷ 2
/
180 ÷ 2
=36
/
90
36 ÷ 2
/
90 ÷ 2
=18
/
45
18 ÷ 3
/
45 ÷ 3
=6
/
15
6 ÷ 3
/
15 ÷ 3
=2
/
5

Fraction Simplification Table

Fraction	Lowest Terms
144/345	48/115
144/346	72/173
144/347	144/347
144/348	12/29
144/349	144/349
144/350	72/175
144/351	16/39
144/352	9/22
144/353	144/353
144/354	24/59
144/355	144/355
144/356	36/89
144/357	48/119
144/358	72/179
144/359	144/359
144/360	2/5 (⅖)
144/361	144/361
144/362	72/181
144/363	48/121
144/364	36/91
144/365	144/365
144/366	24/61
144/367	144/367
144/368	9/23
144/369	16/41
144/370	72/185
144/371	144/371
144/372	12/31
144/373	144/373
144/374	72/187

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 144/360 Simplified? (The answer is: 2/5 (⅖)). Enter the fraction (numerator and denominator) (e.g. '144/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 144/360) 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).

144/360 Simplified