What is 117/180 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 117/180 Simplified?

Answer: Fraction 117/180 simplified to lowest terms is 13/20

117

/

180

=

13

/

20

13/20 is the simplified fraction of 117/180.

Simplifying Fraction 117/180 using GCF

The first way to simplify the fraction 117/180 is to use the Greatest Common Factor (GCF) of our numerator [117] and denominator [180].

GCF of 117 and 180 is 9

And then divide both the numerator [117] and denominator [180] by the GCF [9].

117 ÷ 9

/

180 ÷ 9

=

13

/

20

Simplifying Fraction 117/180 using Prime Factors

Another method to reduce the fraction 117/180 to its simplest form is to use the Prime Factors of numerator [117] and denominator [180].

Prime Factors of 117: 3,3,13

Prime Factors of 180: 2,2,3,3,5

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

3 × 3 × 13

/

2 × 2 × 3 × 3 × 5

=

13

/

20

Simplifying Fraction 117/180 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [117] and denominator [180] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

117 ÷ 3

/

180 ÷ 3

=

39

/

60

39 ÷ 3

/

60 ÷ 3

=

13

/

20

Fraction Simplification Table

Fraction	Lowest Terms
117/165	39/55
117/166	117/166
117/167	117/167
117/168	39/56
117/169	9/13
117/170	117/170
117/171	13/19
117/172	117/172
117/173	117/173
117/174	39/58
117/175	117/175
117/176	117/176
117/177	39/59
117/178	117/178
117/179	117/179
117/180	13/20
117/181	117/181
117/182	9/14
117/183	39/61
117/184	117/184
117/185	117/185
117/186	39/62
117/187	117/187
117/188	117/188
117/189	13/21
117/190	117/190
117/191	117/191
117/192	39/64
117/193	117/193
117/194	117/194

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 117/180 Simplified? (The answer is: 13/20). Enter the fraction (numerator and denominator) (e.g. '117/180') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 117/180) 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).

117/180 Simplified