189/144 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

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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
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Fraction Simplification Table

FractionLowest Terms
189/12963/43
189/130189/130
189/131189/131
189/13263/44
189/13327/19
189/134189/134
189/1357/5
189/136189/136
189/137189/137
189/13863/46
189/139189/139
189/14027/20
189/14163/47
189/142189/142
189/143189/143
189/14421/16
189/145189/145
189/146189/146
189/1479/7
189/148189/148
189/149189/149
189/15063/50
189/151189/151
189/152189/152
189/15321/17
189/15427/22
189/155189/155
189/15663/52
189/157189/157
189/158189/158

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).

Fraction Simplifier Calculator

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FAQ

What is 189/144 Simplified?

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

See Also