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

See Also

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
120/304
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

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).

FAQ

What is 120/300 Simplified?

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