75/120 Simplified

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What is 75/120 Simplified?

Answer

Fraction 75/120 simplified to lowest terms is 5/8 (⅝)
75
120
=
5
8

5/8 (⅝) is the simplified fraction of 75/120.

Simplifying Fraction 75/120 using GCF

The first way to simplify the fraction 75/120 is to use the Greatest Common Factor (GCF) of our numerator [75] and denominator [120].

GCF of 75 and 120 is 15

And then divide both the numerator [75] and denominator [120] by the GCF [15].

75 ÷ 15
120 ÷ 15
=
5
8

Simplifying Fraction 75/120 using Prime Factors

Another method to reduce the fraction 75/120 to its simplest form is to use the Prime Factors of numerator [75] and denominator [120].

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

3 × 5 × 5
2 × 2 × 2 × 3 × 5
=
5
8

Simplifying Fraction 75/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [75] 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.

75 ÷ 3
120 ÷ 3
=
25
40
25 ÷ 5
40 ÷ 5
=
5
8

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 75/120 Simplified? (The answer is: 5/8 (⅝)). Enter the fraction (numerator and denominator) (e.g. '75/120') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 75/120) 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

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Fraction Simplification Table

Fraction Lowest Terms
75/105 5/7
75/106 75/106
75/107 75/107
75/108 25/36
75/109 75/109
75/110 15/22
75/111 25/37
75/112 75/112
75/113 75/113
75/114 25/38
75/115 15/23
75/116 75/116
75/117 25/39
75/118 75/118
75/119 75/119
75/120 5/8 (⅝)
75/121 75/121
75/122 75/122
75/123 25/41
75/124 75/124
75/125 3/5 (⅗)
75/126 25/42
75/127 75/127
75/128 75/128
75/129 25/43
75/130 15/26
75/131 75/131
75/132 25/44
75/133 75/133
75/134 75/134

FAQ

What is 75/120 Simplified?

Fraction 75/120 simplified to lowest terms is 5/8 (⅝)

How do you simplify 75/120?

75/120 simplified to lowest terms is 5/8 (⅝). Divide both the numerator and denominator by their GCF (15).

What is the GCF of 75 and 120?

The Greatest Common Factor of 75 and 120 is 15.