What is 300/180 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 300/180 Simplified?

Answer: Fraction 300/180 simplified to lowest terms is 5/3

300

/

180

=

5

/

3

5/3 is the simplified fraction of 300/180.

Since the numerator [300] 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

/

3

=1

2

/

3

Simplifying Fraction 300/180 using GCF

The first way to simplify the fraction 300/180 is to use the Greatest Common Factor (GCF) of our numerator [300] and denominator [180].

GCF of 300 and 180 is 60

And then divide both the numerator [300] and denominator [180] by the GCF [60].

300 ÷ 60

/

180 ÷ 60

=

5

/

3

Simplifying Fraction 300/180 using Prime Factors

Another method to reduce the fraction 300/180 to its simplest form is to use the Prime Factors of numerator [300] and denominator [180].

Prime Factors of 300: 2,2,3,5,5

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:

2 × 2 × 3 × 5 × 5

/

2 × 2 × 3 × 3 × 5

=

5

/

3

Simplifying Fraction 300/180 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [300] 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.

300 ÷ 2

/

180 ÷ 2

=

150

/

90

150 ÷ 2

/

90 ÷ 2

=

75

/

45

75 ÷ 3

/

45 ÷ 3

=

25

/

15

25 ÷ 5

/

15 ÷ 5

=

5

/

3

Related Calculations

300 is what percent greater than 180?

Fraction Simplification Table

Fraction	Lowest Terms
300/165	20/11
300/166	150/83
300/167	300/167
300/168	25/14
300/169	300/169
300/170	30/17
300/171	100/57
300/172	75/43
300/173	300/173
300/174	50/29
300/175	12/7
300/176	75/44
300/177	100/59
300/178	150/89
300/179	300/179
300/180	5/3
300/181	300/181
300/182	150/91
300/183	100/61
300/184	75/46
300/185	60/37
300/186	50/31
300/187	300/187
300/188	75/47
300/189	100/63
300/190	30/19
300/191	300/191
300/192	25/16
300/193	300/193
300/194	150/97

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 300/180 Simplified? (The answer is: 5/3). Enter the fraction (numerator and denominator) (e.g. '300/180') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 300/180) 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).

300/180 Simplified