What is 120/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 120/360 Simplified?

Answer

Fraction 120/360 simplified to lowest terms is 1/3 (⅓)

120

360

=

1

3

1/3 (⅓) is the simplified fraction of 120/360.

Simplifying Fraction 120/360 using GCF

The first way to simplify the fraction 120/360 is to use the Greatest Common Factor (GCF) of our numerator [120] and denominator [360].

GCF of 120 and 360 is 120

And then divide both the numerator [120] and denominator [360] by the GCF [120].

120 ÷ 120

360 ÷ 120

=

1

3

Simplifying Fraction 120/360 using Prime Factors

Another method to reduce the fraction 120/360 to its simplest form is to use the Prime Factors of numerator [120] and denominator [360].

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

Prime Factors of 360: 2,2,2,3,3,5

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 × 3 × 3 × 5

=

1

3

Simplifying Fraction 120/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [120] and denominator [360] 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
/
360 ÷ 2
=60
/
180
60 ÷ 2
/
180 ÷ 2
=30
/
90
30 ÷ 2
/
90 ÷ 2
=15
/
45
15 ÷ 3
/
45 ÷ 3
=5
/
15
5 ÷ 5
/
15 ÷ 5
=1
/
3

Fraction Simplification Table

Fraction	Lowest Terms
120/345	8/23
120/346	60/173
120/347	120/347
120/348	10/29
120/349	120/349
120/350	12/35
120/351	40/117
120/352	15/44
120/353	120/353
120/354	20/59
120/355	24/71
120/356	30/89
120/357	40/119
120/358	60/179
120/359	120/359
120/360	1/3 (⅓)
120/361	120/361
120/362	60/181
120/363	40/121
120/364	30/91
120/365	24/73
120/366	20/61
120/367	120/367
120/368	15/46
120/369	40/123
120/370	12/37
120/371	120/371
120/372	10/31
120/373	120/373
120/374	60/187

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 120/360 Simplified? (The answer is: 1/3 (⅓)). Enter the fraction (numerator and denominator) (e.g. '120/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 120/360) 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).

120/360 Simplified