What is 200/180 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 200/180 Simplified?

Answer: Fraction 200/180 simplified to lowest terms is 10/9

200

/

180

=

10

/

9

10/9 is the simplified fraction of 200/180.

Since the numerator [200] 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:

10

/

9

=1

1

/

9

Simplifying Fraction 200/180 using GCF

The first way to simplify the fraction 200/180 is to use the Greatest Common Factor (GCF) of our numerator [200] and denominator [180].

GCF of 200 and 180 is 20

And then divide both the numerator [200] and denominator [180] by the GCF [20].

200 ÷ 20

/

180 ÷ 20

=

10

/

9

Simplifying Fraction 200/180 using Prime Factors

Another method to reduce the fraction 200/180 to its simplest form is to use the Prime Factors of numerator [200] and denominator [180].

Prime Factors of 200: 2,2,2,5,5

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 × 2 × 5 × 5

/

2 × 2 × 3 × 3 × 5

=

10

/

9

Simplifying Fraction 200/180 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [200] 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.

200 ÷ 2

/

180 ÷ 2

=

100

/

90

100 ÷ 2

/

90 ÷ 2

=

50

/

45

50 ÷ 5

/

45 ÷ 5

=

10

/

9

Related Calculations

200 is what percent greater than 180?

Fraction Simplification Table

Fraction	Lowest Terms
200/165	40/33
200/166	100/83
200/167	200/167
200/168	25/21
200/169	200/169
200/170	20/17
200/171	200/171
200/172	50/43
200/173	200/173
200/174	100/87
200/175	8/7
200/176	25/22
200/177	200/177
200/178	100/89
200/179	200/179
200/180	10/9
200/181	200/181
200/182	100/91
200/183	200/183
200/184	25/23
200/185	40/37
200/186	100/93
200/187	200/187
200/188	50/47
200/189	200/189
200/190	20/19
200/191	200/191
200/192	25/24
200/193	200/193
200/194	100/97

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 200/180 Simplified? (The answer is: 10/9). Enter the fraction (numerator and denominator) (e.g. '200/180') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 200/180) 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).

200/180 Simplified