What is 108/72 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 108/72 Simplified?

Answer

Fraction 108/72 simplified to lowest terms is 3/2

108

72

=

3

2

3/2 is the simplified fraction of 108/72.

Since the numerator [108] is greater than the denominator [72] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

3

2

=1

1

2

Simplifying Fraction 108/72 using GCF

The first way to simplify the fraction 108/72 is to use the Greatest Common Factor (GCF) of our numerator [108] and denominator [72].

GCF of 108 and 72 is 36

And then divide both the numerator [108] and denominator [72] by the GCF [36].

108 ÷ 36

72 ÷ 36

=

3

2

Simplifying Fraction 108/72 using Prime Factors

Another method to reduce the fraction 108/72 to its simplest form is to use the Prime Factors of numerator [108] and denominator [72].

Prime Factors of 108: 2,2,3,3,3

Prime Factors of 72: 2,2,2,3,3

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 × 3

2 × 2 × 2 × 3 × 3

=

3

2

Simplifying Fraction 108/72 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [108] and denominator [72] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

108 ÷ 2

72 ÷ 2

=

54

36

54 ÷ 2

36 ÷ 2

=

27

18

27 ÷ 3

18 ÷ 3

=

9

6

9 ÷ 3

6 ÷ 3

=

3

2

Fraction Simplification Table

Fraction	Lowest Terms
108/57	36/19
108/58	54/29
108/59	108/59
108/60	9/5
108/61	108/61
108/62	54/31
108/63	12/7
108/64	27/16
108/65	108/65
108/66	18/11
108/67	108/67
108/68	27/17
108/69	36/23
108/70	54/35
108/71	108/71
108/72	3/2
108/73	108/73
108/74	54/37
108/75	36/25
108/76	27/19
108/77	108/77
108/78	18/13
108/79	108/79
108/80	27/20
108/81	4/3
108/82	54/41
108/83	108/83
108/84	9/7
108/85	108/85
108/86	54/43

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 108/72 Simplified? (The answer is: 3/2). Enter the fraction (numerator and denominator) (e.g. '108/72') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 108/72) 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).

108/72 Simplified