144/360 Simplified

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].

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 reminder.

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

FractionLowest Terms
144/34548/115
144/34672/173
144/347144/347
144/348
144/349144/349
144/35072/175
144/35116/39
144/352
144/353144/353
144/35424/59
144/355144/355
144/35636/89
144/35748/119
144/35872/179
144/359144/359
144/361144/361
144/36272/181
144/36348/121
144/36436/91
144/365144/365
144/36624/61
144/367144/367
144/368
144/369
144/37072/185
144/371144/371
144/372
144/373144/373
144/37472/187

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).

FAQ

What is 144/360 Simplified?

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