What is 100/120 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 100/120 Simplified?

Answer

Fraction 100/120 simplified to lowest terms is 5/6 (⅚)

100

120

=

5

6

5/6 (⅚) is the simplified fraction of 100/120.

Simplifying Fraction 100/120 using GCF

The first way to simplify the fraction 100/120 is to use the Greatest Common Factor (GCF) of our numerator [100] and denominator [120].

GCF of 100 and 120 is 20

And then divide both the numerator [100] and denominator [120] by the GCF [20].

100 ÷ 20

120 ÷ 20

=

5

6

Simplifying Fraction 100/120 using Prime Factors

Another method to reduce the fraction 100/120 to its simplest form is to use the Prime Factors of numerator [100] and denominator [120].

Prime Factors of 100: 2,2,5,5

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 × 5 × 5

2 × 2 × 2 × 3 × 5

=

5

6

Simplifying Fraction 100/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [100] 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.

100 ÷ 2

120 ÷ 2

=

50

60

50 ÷ 2

60 ÷ 2

=

25

30

25 ÷ 5

30 ÷ 5

=

5

6

Related Calculations

Fraction Simplification Table

Fraction	Lowest Terms
100/105	20/21
100/106	50/53
100/107	100/107
100/108	25/27
100/109	100/109
100/110	10/11
100/111	100/111
100/112	25/28
100/113	100/113
100/114	50/57
100/115	20/23
100/116	25/29
100/117	100/117
100/118	50/59
100/119	100/119
100/120	5/6 (⅚)
100/121	100/121
100/122	50/61
100/123	100/123
100/124	25/31
100/125	4/5 (⅘)
100/126	50/63
100/127	100/127
100/128	25/32
100/129	100/129
100/130	10/13
100/131	100/131
100/132	25/33
100/133	100/133
100/134	50/67

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 100/120 Simplified? (The answer is: 5/6 (⅚)). Enter the fraction (numerator and denominator) (e.g. '100/120') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 100/120) 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).

100/120 Simplified