What is 45/180 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 45/180 Simplified?

Answer

Fraction 45/180 simplified to lowest terms is 1/4 (¼)

45

180

=

1

4

1/4 (¼) is the simplified fraction of 45/180.

Simplifying Fraction 45/180 using GCF

The first way to simplify the fraction 45/180 is to use the Greatest Common Factor (GCF) of our numerator [45] and denominator [180].

GCF of 45 and 180 is 45

And then divide both the numerator [45] and denominator [180] by the GCF [45].

45 ÷ 45

180 ÷ 45

=

1

4

Simplifying Fraction 45/180 using Prime Factors

Another method to reduce the fraction 45/180 to its simplest form is to use the Prime Factors of numerator [45] and denominator [180].

Prime Factors of 45: 3,3,5

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 × 5

2 × 2 × 3 × 3 × 5

=

1

4

Simplifying Fraction 45/180 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [45] 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.

45 ÷ 3

180 ÷ 3

=

15

60

15 ÷ 3

60 ÷ 3

=

5

20

5 ÷ 5

20 ÷ 5

=

1

4

Fraction Simplification Table

Fraction	Lowest Terms
45/165	3/11
45/166	45/166
45/167	45/167
45/168	15/56
45/169	45/169
45/170	9/34
45/171	5/19
45/172	45/172
45/173	45/173
45/174	15/58
45/175	9/35
45/176	45/176
45/177	15/59
45/178	45/178
45/179	45/179
45/180	1/4 (¼)
45/181	45/181
45/182	45/182
45/183	15/61
45/184	45/184
45/185	9/37
45/186	15/62
45/187	45/187
45/188	45/188
45/189	5/21
45/190	9/38
45/191	45/191
45/192	15/64
45/193	45/193
45/194	45/194

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 45/180 Simplified? (The answer is: 1/4 (¼)). Enter the fraction (numerator and denominator) (e.g. '45/180') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 45/180) 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).

45/180 Simplified