What is 216/144 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 216/144 Simplified?

Answer

Fraction 216/144 simplified to lowest terms is 3/2

216

144

=

3

2

3/2 is the simplified fraction of 216/144.

Since the numerator [216] is greater than the denominator [144] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

3

2

=1

1

2

Simplifying Fraction 216/144 using GCF

The first way to simplify the fraction 216/144 is to use the Greatest Common Factor (GCF) of our numerator [216] and denominator [144].

GCF of 216 and 144 is 72

And then divide both the numerator [216] and denominator [144] by the GCF [72].

216 ÷ 72

144 ÷ 72

=

3

2

Simplifying Fraction 216/144 using Prime Factors

Another method to reduce the fraction 216/144 to its simplest form is to use the Prime Factors of numerator [216] and denominator [144].

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

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

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 × 2 × 3 × 3

=

3

2

Simplifying Fraction 216/144 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [216] and denominator [144] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.
216 ÷ 2
/
144 ÷ 2
=108
/
72
108 ÷ 2
/
72 ÷ 2
=54
/
36
54 ÷ 2
/
36 ÷ 2
=27
/
18
27 ÷ 3
/
18 ÷ 3
=9
/
6
9 ÷ 3
/
6 ÷ 3
=3
/
2

Fraction Simplification Table

Fraction	Lowest Terms
216/129	72/43
216/130	108/65
216/131	216/131
216/132	18/11
216/133	216/133
216/134	108/67
216/135	8/5
216/136	27/17
216/137	216/137
216/138	36/23
216/139	216/139
216/140	54/35
216/141	72/47
216/142	108/71
216/143	216/143
216/144	3/2
216/145	216/145
216/146	108/73
216/147	72/49
216/148	54/37
216/149	216/149
216/150	36/25
216/151	216/151
216/152	27/19
216/153	24/17
216/154	108/77
216/155	216/155
216/156	18/13
216/157	216/157
216/158	108/79

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 216/144 Simplified? (The answer is: 3/2). Enter the fraction (numerator and denominator) (e.g. '216/144') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 216/144) 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).

216/144 Simplified