What is 108/102 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 108/102 Simplified?

Answer

Fraction 108/102 simplified to lowest terms is 18/17

108

102

=

18

17

18/17 is the simplified fraction of 108/102.

Since the numerator [108] is greater than the denominator [102] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

18

17

=1

1

17

Simplifying Fraction 108/102 using GCF

The first way to simplify the fraction 108/102 is to use the Greatest Common Factor (GCF) of our numerator [108] and denominator [102].

GCF of 108 and 102 is 6

And then divide both the numerator [108] and denominator [102] by the GCF [6].

108 ÷ 6

102 ÷ 6

=

18

17

Simplifying Fraction 108/102 using Prime Factors

Another method to reduce the fraction 108/102 to its simplest form is to use the Prime Factors of numerator [108] and denominator [102].

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

Prime Factors of 102: 2,3,17

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 × 3 × 17

=

18

17

Simplifying Fraction 108/102 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [108] and denominator [102] 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

102 ÷ 2

=

54

51

54 ÷ 3

51 ÷ 3

=

18

17

Fraction Simplification Table

Fraction	Lowest Terms
108/87	36/29
108/88	27/22
108/89	108/89
108/90	6/5
108/91	108/91
108/92	27/23
108/93	36/31
108/94	54/47
108/95	108/95
108/96	9/8
108/97	108/97
108/98	54/49
108/99	12/11
108/100	27/25
108/101	108/101
108/102	18/17
108/103	108/103
108/104	27/26
108/105	36/35
108/106	54/53
108/107	108/107
108/108	1/1
108/109	108/109
108/110	54/55
108/111	36/37
108/112	27/28
108/113	108/113
108/114	18/19
108/115	108/115
108/116	27/29

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 108/102 Simplified? (The answer is: 18/17). Enter the fraction (numerator and denominator) (e.g. '108/102') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 108/102) 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).

108/102 Simplified