200/180 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

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].

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 remainder.

200 ÷ 2
180 ÷ 2
=
100
90
100 ÷ 2
90 ÷ 2
=
50
45
50 ÷ 5
45 ÷ 5
=
10
9

See Also

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).
Fraction Simplifier Calculator

Simplify the Fraction

FAQ

What is 200/180 Simplified?

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

What is 200/180 as a decimal?

Divide the reduced numerator by the reduced denominator: 10 ÷ 9 = 1.111, rounded to three decimal places. Reducing the fraction first does not change the value, only the numbers you divide.

What is the GCF of 200 and 180?

The Greatest Common Factor of 200 and 180 is 20, and dividing the numerator and the denominator by it is what brings the fraction to 10/9. A GCF of 1 means the fraction is already in lowest terms.