What is 189/144 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 189/144 Simplified?

Answer: Fraction 189/144 simplified to lowest terms is 21/16

189

/

144

=

21

/

16

21/16 is the simplified fraction of 189/144.

Since the numerator [189] 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:

21

/

16

=1

5

/

16

Simplifying Fraction 189/144 using GCF

The first way to simplify the fraction 189/144 is to use the Greatest Common Factor (GCF) of our numerator [189] and denominator [144].

GCF of 189 and 144 is 9

And then divide both the numerator [189] and denominator [144] by the GCF [9].

189 ÷ 9

/

144 ÷ 9

=

21

/

16

Simplifying Fraction 189/144 using Prime Factors

Another method to reduce the fraction 189/144 to its simplest form is to use the Prime Factors of numerator [189] and denominator [144].

Prime Factors of 189: 3,3,3,7

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:

3 × 3 × 3 × 7

/

2 × 2 × 2 × 2 × 3 × 3

=

21

/

16

Simplifying Fraction 189/144 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [189] 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 reminder.

189 ÷ 3

/

144 ÷ 3

=

63

/

48

63 ÷ 3

/

48 ÷ 3

=

21

/

16

Fraction Simplification Table

Fraction	Lowest Terms
189/129	63/43
189/130	189/130
189/131	189/131
189/132	63/44
189/133	27/19
189/134	189/134
189/135	7/5
189/136	189/136
189/137	189/137
189/138	63/46
189/139	189/139
189/140	27/20
189/141	63/47
189/142	189/142
189/143	189/143
189/144	21/16
189/145	189/145
189/146	189/146
189/147	9/7
189/148	189/148
189/149	189/149
189/150	63/50
189/151	189/151
189/152	189/152
189/153	21/17
189/154	27/22
189/155	189/155
189/156	63/52
189/157	189/157
189/158	189/158

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 189/144 Simplified? (The answer is: 21/16). Enter the fraction (numerator and denominator) (e.g. '189/144') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 189/144) 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).

189/144 Simplified