What is 225/180 Simplified to Simplest Form?

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What is 225/180 Simplified?

Answer

Fraction 225/180 simplified to lowest terms is

5/4

225

180

=

5

4

5/4 is the simplified fraction of 225/180.

Since the numerator [225] is greater than the denominator [180] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

5

4

=1

1

4

Simplifying Fraction 225/180 using GCF

The first way to simplify the fraction 225/180 is to use the Greatest Common Factor (GCF) of our numerator [225] and denominator [180].

GCF of 225 and 180 is 45

And then divide both the numerator [225] and denominator [180] by the GCF [45].

225 ÷ 45

180 ÷ 45

=

5

4

Simplifying Fraction 225/180 using Prime Factors

Another method to reduce the fraction 225/180 to its simplest form is to use the Prime Factors of numerator [225] and denominator [180].

Prime Factors of 225: 3,3,5,5

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 × 5

2 × 2 × 3 × 3 × 5

=

5

4

Simplifying Fraction 225/180 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [225] 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.

225 ÷ 3

180 ÷ 3

=

75

60

75 ÷ 3

60 ÷ 3

=

25

20

25 ÷ 5

20 ÷ 5

=

5

4

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 225/180 Simplified? (The answer is: 5/4). Enter the fraction (numerator and denominator) (e.g. '225/180') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 225/180) 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).

Fraction Simplifier Calculator

Fraction Simplification Table

Fraction	Lowest Terms
225/165	15/11
225/166	225/166
225/167	225/167
225/168	75/56
225/169	225/169
225/170	45/34
225/171	25/19
225/172	225/172
225/173	225/173
225/174	75/58
225/175	9/7
225/176	225/176
225/177	75/59
225/178	225/178
225/179	225/179
225/180	5/4
225/181	225/181
225/182	225/182
225/183	75/61
225/184	225/184
225/185	45/37
225/186	75/62
225/187	225/187
225/188	225/188
225/189	25/21
225/190	45/38
225/191	225/191
225/192	75/64
225/193	225/193
225/194	225/194

225/180 Simplified