120/300 Simplified

What is 120/300 Simplified?

Answer: Fraction 120/300 simplified to lowest terms is 2/5 (⅖)
120
/
300
=
2
/
5

2/5 (⅖) is the simplified fraction of 120/300.

Simplifying Fraction 120/300 using GCF

The first way to simplify the fraction 120/300 is to use the Greatest Common Factor (GCF) of our numerator [120] and denominator [300].

GCF of 120 and 300 is 60

And then divide both the numerator [120] and denominator [300] by the GCF [60].

120 ÷ 60
/
300 ÷ 60
=
2
/
5

Simplifying Fraction 120/300 using Prime Factors

Another method to reduce the fraction 120/300 to its simplest form is to use the Prime Factors of numerator [120] and denominator [300].

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 × 3 × 5 × 5
=
2
/
5

Simplifying Fraction 120/300 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [120] and denominator [300] 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
/
300 ÷ 2
=
60
/
150
60 ÷ 2
/
150 ÷ 2
=
30
/
75
30 ÷ 3
/
75 ÷ 3
=
10
/
25
10 ÷ 5
/
25 ÷ 5
=
2
/
5

Related Calculations

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 120/300 Simplified? (The answer is: 2/5 (⅖)). Enter the fraction (numerator and denominator) (e.g. '120/300') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 120/300) 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 Simplification Table

FractionLowest Terms
120/285
120/28660/143
120/287120/287
120/288
120/289120/289
120/290
120/29140/97
120/29230/73
120/293120/293
120/29420/49
120/29524/59
120/296
120/29740/99
120/29860/149
120/299120/299
120/301120/301
120/30260/151
120/30340/101
120/30415/38
120/30524/61
120/30620/51
120/307120/307
120/30830/77
120/30940/103
120/310
120/311120/311
120/312
120/313120/313
120/31460/157

FAQ

What is 120/300 Simplified?

Fraction 120/300 simplified to lowest terms is 2/5 (⅖)