120/360 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

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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 reminder.

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
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Fraction Simplification Table

FractionLowest Terms
120/3458/23
120/34660/173
120/347120/347
120/34810/29
120/349120/349
120/35012/35
120/35140/117
120/35215/44
120/353120/353
120/35420/59
120/35524/71
120/35630/89
120/35740/119
120/35860/179
120/359120/359
120/3601/3 (⅓)
120/361120/361
120/36260/181
120/36340/121
120/36430/91
120/36524/73
120/36620/61
120/367120/367
120/36815/46
120/36940/123
120/37012/37
120/371120/371
120/37210/31
120/373120/373
120/37460/187

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).

Fraction Simplifier Calculator

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FAQ

What is 120/360 Simplified?

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

See Also