75/120 Simplified

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 reminder.

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 Simplification Table

FractionLowest Terms
75/105
75/10675/106
75/10775/107
75/10825/36
75/10975/109
75/110
75/11125/37
75/11275/112
75/11375/113
75/11425/38
75/115
75/11675/116
75/11725/39
75/11875/118
75/11975/119
75/12175/121
75/12275/122
75/12325/41
75/12475/124
75/12625/42
75/12775/127
75/12875/128
75/12925/43
75/130
75/13175/131
75/13225/44
75/13375/133
75/13475/134

FAQ

What is 75/120 Simplified?

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