What is 36/120 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 36/120 Simplified?

Answer: Fraction 36/120 simplified to lowest terms is 3/10

36

/

120

=

3

/

10

3/10 is the simplified fraction of 36/120.

Simplifying Fraction 36/120 using GCF

The first way to simplify the fraction 36/120 is to use the Greatest Common Factor (GCF) of our numerator [36] and denominator [120].

GCF of 36 and 120 is 12

And then divide both the numerator [36] and denominator [120] by the GCF [12].

36 ÷ 12

/

120 ÷ 12

=

3

/

10

Simplifying Fraction 36/120 using Prime Factors

Another method to reduce the fraction 36/120 to its simplest form is to use the Prime Factors of numerator [36] and denominator [120].

Prime Factors of 36: 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 × 3 × 3

/

2 × 2 × 2 × 3 × 5

=

3

/

10

Simplifying Fraction 36/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [36] 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.

36 ÷ 2

/

120 ÷ 2

=

18

/

60

18 ÷ 2

/

60 ÷ 2

=

9

/

30

9 ÷ 3

/

30 ÷ 3

=

3

/

10

Fraction Simplification Table

Fraction	Lowest Terms
36/105	12/35
36/106	18/53
36/107	36/107
36/108	1/3 (⅓)
36/109	36/109
36/110	18/55
36/111	12/37
36/112	9/28
36/113	36/113
36/114	6/19
36/115	36/115
36/116	9/29
36/117	4/13
36/118	18/59
36/119	36/119
36/120	3/10
36/121	36/121
36/122	18/61
36/123	12/41
36/124	9/31
36/125	36/125
36/126	2/7
36/127	36/127
36/128	9/32
36/129	12/43
36/130	18/65
36/131	36/131
36/132	3/11
36/133	36/133
36/134	18/67

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 36/120 Simplified? (The answer is: 3/10). Enter the fraction (numerator and denominator) (e.g. '36/120') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 36/120) 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).

36/120 Simplified