What is 144/168 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 144/168 Simplified?

Answer

Fraction 144/168 simplified to lowest terms is 6/7

144

168

=

6

7

6/7 is the simplified fraction of 144/168.

Simplifying Fraction 144/168 using GCF

The first way to simplify the fraction 144/168 is to use the Greatest Common Factor (GCF) of our numerator [144] and denominator [168].

GCF of 144 and 168 is 24

And then divide both the numerator [144] and denominator [168] by the GCF [24].

144 ÷ 24

168 ÷ 24

=

6

7

Simplifying Fraction 144/168 using Prime Factors

Another method to reduce the fraction 144/168 to its simplest form is to use the Prime Factors of numerator [144] and denominator [168].

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

Prime Factors of 168: 2,2,2,3,7

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 × 7

=

6

7

Simplifying Fraction 144/168 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [144] and denominator [168] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

144 ÷ 2

168 ÷ 2

=

72

84

72 ÷ 2

84 ÷ 2

=

36

42

36 ÷ 2

42 ÷ 2

=

18

21

18 ÷ 3

21 ÷ 3

=

6

7

Fraction Simplification Table

Fraction	Lowest Terms
144/153	16/17
144/154	72/77
144/155	144/155
144/156	12/13
144/157	144/157
144/158	72/79
144/159	48/53
144/160	9/10
144/161	144/161
144/162	8/9
144/163	144/163
144/164	36/41
144/165	48/55
144/166	72/83
144/167	144/167
144/168	6/7
144/169	144/169
144/170	72/85
144/171	16/19
144/172	36/43
144/173	144/173
144/174	24/29
144/175	144/175
144/176	9/11
144/177	48/59
144/178	72/89
144/179	144/179
144/180	4/5 (⅘)
144/181	144/181
144/182	72/91

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 144/168 Simplified? (The answer is: 6/7). Enter the fraction (numerator and denominator) (e.g. '144/168') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 144/168) 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).

144/168 Simplified