120/200 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

What is 120/200 Simplified?

Answer

Fraction 120/200 simplified to lowest terms is
3/5 (⅗)
120
200
=
3
5

3/5 (⅗) is the simplified fraction of 120/200.

Simplifying Fraction 120/200 using GCF

The first way to simplify the fraction 120/200 is to use the Greatest Common Factor (GCF) of our numerator [120] and denominator [200].

GCF of 120 and 200 is 40

And then divide both the numerator [120] and denominator [200] by the GCF [40].

120 ÷ 40
200 ÷ 40
=
3
5

Simplifying Fraction 120/200 using Prime Factors

Another method to reduce the fraction 120/200 to its simplest form is to use the Prime Factors of numerator [120] and denominator [200].

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

2 × 2 × 2 × 3 × 5
2 × 2 × 2 × 5 × 5
=
3
5

Simplifying Fraction 120/200 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [120] and denominator [200] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

120 ÷ 2
200 ÷ 2
=
60
100
60 ÷ 2
100 ÷ 2
=
30
50
30 ÷ 2
50 ÷ 2
=
15
25
15 ÷ 5
25 ÷ 5
=
3
5

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 120/200 Simplified? (The answer is: 3/5 (⅗)). Enter the fraction (numerator and denominator) (e.g. '120/200') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 120/200) 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 120/200 Simplified?

Fraction 120/200 simplified to lowest terms is 3/5 (⅗)

What is 120/200 as a decimal?

Divide the reduced numerator by the reduced denominator: 3 ÷ 5 = 0.6, rounded to three decimal places. Reducing the fraction first does not change the value, only the numbers you divide.

What is the GCF of 120 and 200?

The Greatest Common Factor of 120 and 200 is 40, and dividing the numerator and the denominator by it is what brings the fraction to 3/5 (⅗). A GCF of 1 means the fraction is already in lowest terms.