What is 72/180 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 72/180 Simplified?

Answer

Fraction 72/180 simplified to lowest terms is 2/5 (⅖)

72

180

=

2

5

2/5 (⅖) is the simplified fraction of 72/180.

Simplifying Fraction 72/180 using GCF

The first way to simplify the fraction 72/180 is to use the Greatest Common Factor (GCF) of our numerator [72] and denominator [180].

GCF of 72 and 180 is 36

And then divide both the numerator [72] and denominator [180] by the GCF [36].

72 ÷ 36

180 ÷ 36

=

2

5

Simplifying Fraction 72/180 using Prime Factors

Another method to reduce the fraction 72/180 to its simplest form is to use the Prime Factors of numerator [72] and denominator [180].

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

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:

2 × 2 × 2 × 3 × 3

2 × 2 × 3 × 3 × 5

=

2

5

Simplifying Fraction 72/180 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [72] 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 remainder.

72 ÷ 2

180 ÷ 2

=

36

90

36 ÷ 2

90 ÷ 2

=

18

45

18 ÷ 3

45 ÷ 3

=

6

15

6 ÷ 3

15 ÷ 3

=

2

5

Fraction Simplification Table

Fraction	Lowest Terms
72/165	24/55
72/166	36/83
72/167	72/167
72/168	3/7
72/169	72/169
72/170	36/85
72/171	8/19
72/172	18/43
72/173	72/173
72/174	12/29
72/175	72/175
72/176	9/22
72/177	24/59
72/178	36/89
72/179	72/179
72/180	2/5 (⅖)
72/181	72/181
72/182	36/91
72/183	24/61
72/184	9/23
72/185	72/185
72/186	12/31
72/187	72/187
72/188	18/47
72/189	8/21
72/190	36/95
72/191	72/191
72/192	3/8 (⅜)
72/193	72/193
72/194	36/97

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 72/180 Simplified? (The answer is: 2/5 (⅖)). Enter the fraction (numerator and denominator) (e.g. '72/180') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 72/180) 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).

72/180 Simplified