What is 216/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 216/360 Simplified?

Answer: Fraction 216/360 simplified to lowest terms is 3/5 (⅗)

216

/

360

=

3

/

5

3/5 (⅗) is the simplified fraction of 216/360.

Simplifying Fraction 216/360 using GCF

The first way to simplify the fraction 216/360 is to use the Greatest Common Factor (GCF) of our numerator [216] and denominator [360].

GCF of 216 and 360 is 72

And then divide both the numerator [216] and denominator [360] by the GCF [72].

216 ÷ 72

/

360 ÷ 72

=

3

/

5

Simplifying Fraction 216/360 using Prime Factors

Another method to reduce the fraction 216/360 to its simplest form is to use the Prime Factors of numerator [216] and denominator [360].

Prime Factors of 216: 2,2,2,3,3,3

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 × 3 × 3 × 3

/

2 × 2 × 2 × 3 × 3 × 5

=

3

/

5

Simplifying Fraction 216/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [216] 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.
216 ÷ 2
/
360 ÷ 2
=108
/
180
108 ÷ 2
/
180 ÷ 2
=54
/
90
54 ÷ 2
/
90 ÷ 2
=27
/
45
27 ÷ 3
/
45 ÷ 3
=9
/
15
9 ÷ 3
/
15 ÷ 3
=3
/
5

Fraction Simplification Table

Fraction	Lowest Terms
216/345	72/115
216/346	108/173
216/347	216/347
216/348	18/29
216/349	216/349
216/350	108/175
216/351	8/13
216/352	27/44
216/353	216/353
216/354	36/59
216/355	216/355
216/356	54/89
216/357	72/119
216/358	108/179
216/359	216/359
216/360	3/5 (⅗)
216/361	216/361
216/362	108/181
216/363	72/121
216/364	54/91
216/365	216/365
216/366	36/61
216/367	216/367
216/368	27/46
216/369	24/41
216/370	108/185
216/371	216/371
216/372	18/31
216/373	216/373
216/374	108/187

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 216/360 Simplified? (The answer is: 3/5 (⅗)). Enter the fraction (numerator and denominator) (e.g. '216/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 216/360) 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).

216/360 Simplified