54/120 Simplified

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What is 54/120 Simplified?

Answer

Fraction 54/120 simplified to lowest terms is 9/20
54
120
=
9
20

9/20 is the simplified fraction of 54/120.

Simplifying Fraction 54/120 using GCF

The first way to simplify the fraction 54/120 is to use the Greatest Common Factor (GCF) of our numerator [54] and denominator [120].

GCF of 54 and 120 is 6

And then divide both the numerator [54] and denominator [120] by the GCF [6].

54 ÷ 6
120 ÷ 6
=
9
20

Simplifying Fraction 54/120 using Prime Factors

Another method to reduce the fraction 54/120 to its simplest form is to use the Prime Factors of numerator [54] and denominator [120].

Prime Factors of 54: 2,3,3,3

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 × 3 × 3 × 3
2 × 2 × 2 × 3 × 5
=
9
20

Simplifying Fraction 54/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [54] 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 remainder.

54 ÷ 2
120 ÷ 2
=
27
60
27 ÷ 3
60 ÷ 3
=
9
20

See Also

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 54/120 Simplified? (The answer is: 9/20). Enter the fraction (numerator and denominator) (e.g. '54/120') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 54/120) 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).

Fraction Simplifier Calculator

Simplify the Fraction

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Fraction Simplification Table

Fraction Lowest Terms
54/105 18/35
54/106 27/53
54/107 54/107
54/108 1/2 (½)
54/109 54/109
54/110 27/55
54/111 18/37
54/112 27/56
54/113 54/113
54/114 9/19
54/115 54/115
54/116 27/58
54/117 6/13
54/118 27/59
54/119 54/119
54/120 9/20
54/121 54/121
54/122 27/61
54/123 18/41
54/124 27/62
54/125 54/125
54/126 3/7
54/127 54/127
54/128 27/64
54/129 18/43
54/130 27/65
54/131 54/131
54/132 9/22
54/133 54/133
54/134 27/67

FAQ

What is 54/120 Simplified?
Fraction 54/120 simplified to lowest terms is 9/20

How do you simplify 54/120?
54/120 simplified to lowest terms is 9/20. Divide both the numerator and denominator by their GCF (6).

What is the GCF of 54 and 120?
The Greatest Common Factor of 54 and 120 is 6.

See Also