What is 144/120 Simplified to Simplest Form?

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What is 144/120 Simplified?

Answer: Fraction 144/120 simplified to lowest terms is 6/5

144

/

120

=

6

/

5

6/5 is the simplified fraction of 144/120.

Since the numerator [144] is greater than the denominator [120] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

6

/

5

=1

1

/

5

Simplifying Fraction 144/120 using GCF

The first way to simplify the fraction 144/120 is to use the Greatest Common Factor (GCF) of our numerator [144] and denominator [120].

GCF of 144 and 120 is 24

And then divide both the numerator [144] and denominator [120] by the GCF [24].

144 ÷ 24

/

120 ÷ 24

=

6

/

5

Simplifying Fraction 144/120 using Prime Factors

Another method to reduce the fraction 144/120 to its simplest form is to use the Prime Factors of numerator [144] and denominator [120].

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

Prime Factors of 120: 2,2,2,3,5

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

2 × 2 × 2 × 2 × 3 × 3

/

2 × 2 × 2 × 3 × 5

=

6

/

5

Simplifying Fraction 144/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [144] and denominator [120] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

144 ÷ 2

/

120 ÷ 2

=

72

/

60

72 ÷ 2

/

60 ÷ 2

=

36

/

30

36 ÷ 2

/

30 ÷ 2

=

18

/

15

18 ÷ 3

/

15 ÷ 3

=

6

/

5

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 144/120 Simplified? (The answer is: 6/5). Enter the fraction (numerator and denominator) (e.g. '144/120') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 144/120) 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).

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Fraction Simplification Table

Fraction	Lowest Terms
144/105	48/35
144/106	72/53
144/107	144/107
144/108	4/3
144/109	144/109
144/110	72/55
144/111	48/37
144/112	9/7
144/113	144/113
144/114	24/19
144/115	144/115
144/116	36/29
144/117	16/13
144/118	72/59
144/119	144/119
144/120	6/5
144/121	144/121
144/122	72/61
144/123	48/41
144/124	36/31
144/125	144/125
144/126	8/7
144/127	144/127
144/128	9/8
144/129	48/43
144/130	72/65
144/131	144/131
144/132	12/11
144/133	144/133
144/134	72/67

144/120 Simplified

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