What is 120/200 Simplified to Simplest Form?

Fraction Simplifier Calculator

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].

Prime Factors of 120: 2,2,2,3,5

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

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

2 × 2 × 2 × 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 reminder.

120 ÷ 2

/

200 ÷ 2

=

60

/

100

60 ÷ 2

/

100 ÷ 2

=

30

/

50

30 ÷ 2

/

50 ÷ 2

=

15

/

25

15 ÷ 5

/

25 ÷ 5

=

3

/

5

Related Calculations

Fraction Simplification Table

Fraction	Lowest Terms
120/185	24/37
120/186	20/31
120/187	120/187
120/188	30/47
120/189	40/63
120/190	12/19
120/191	120/191
120/192	5/8 (⅝)
120/193	120/193
120/194	60/97
120/195	8/13
120/196	30/49
120/197	120/197
120/198	20/33
120/199	120/199
120/200	3/5 (⅗)
120/201	40/67
120/202	60/101
120/203	120/203
120/204	10/17
120/205	24/41
120/206	60/103
120/207	40/69
120/208	15/26
120/209	120/209
120/210	4/7
120/211	120/211
120/212	30/53
120/213	40/71
120/214	60/107

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).

120/200 Simplified