What is 105/180 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 105/180 Simplified?

Answer: Fraction 105/180 simplified to lowest terms is 7/12

105

/

180

=

7

/

12

7/12 is the simplified fraction of 105/180.

Simplifying Fraction 105/180 using GCF

The first way to simplify the fraction 105/180 is to use the Greatest Common Factor (GCF) of our numerator [105] and denominator [180].

GCF of 105 and 180 is 15

And then divide both the numerator [105] and denominator [180] by the GCF [15].

105 ÷ 15

/

180 ÷ 15

=

7

/

12

Simplifying Fraction 105/180 using Prime Factors

Another method to reduce the fraction 105/180 to its simplest form is to use the Prime Factors of numerator [105] and denominator [180].

Prime Factors of 105: 3,5,7

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 × 5 × 7

/

2 × 2 × 3 × 3 × 5

=

7

/

12

Simplifying Fraction 105/180 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [105] 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.

105 ÷ 3

/

180 ÷ 3

=

35

/

60

35 ÷ 5

/

60 ÷ 5

=

7

/

12

Fraction Simplification Table

Fraction	Lowest Terms
105/165	7/11
105/166	105/166
105/167	105/167
105/168	5/8 (⅝)
105/169	105/169
105/170	21/34
105/171	35/57
105/172	105/172
105/173	105/173
105/174	35/58
105/175	3/5 (⅗)
105/176	105/176
105/177	35/59
105/178	105/178
105/179	105/179
105/180	7/12
105/181	105/181
105/182	15/26
105/183	35/61
105/184	105/184
105/185	21/37
105/186	35/62
105/187	105/187
105/188	105/188
105/189	5/9
105/190	21/38
105/191	105/191
105/192	35/64
105/193	105/193
105/194	105/194

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 105/180 Simplified? (The answer is: 7/12). Enter the fraction (numerator and denominator) (e.g. '105/180') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 105/180) 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).

105/180 Simplified