What is 330/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 330/360 Simplified?

Answer

Fraction 330/360 simplified to lowest terms is 11/12

330

360

=

11

12

11/12 is the simplified fraction of 330/360.

Simplifying Fraction 330/360 using GCF

The first way to simplify the fraction 330/360 is to use the Greatest Common Factor (GCF) of our numerator [330] and denominator [360].

GCF of 330 and 360 is 30

And then divide both the numerator [330] and denominator [360] by the GCF [30].

330 ÷ 30

360 ÷ 30

=

11

12

Simplifying Fraction 330/360 using Prime Factors

Another method to reduce the fraction 330/360 to its simplest form is to use the Prime Factors of numerator [330] and denominator [360].

Prime Factors of 330: 2,3,5,11

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 × 3 × 5 × 11

2 × 2 × 2 × 3 × 3 × 5

=

11

12

Simplifying Fraction 330/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [330] 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.

330 ÷ 2

360 ÷ 2

=

165

180

165 ÷ 3

180 ÷ 3

=

55

60

55 ÷ 5

60 ÷ 5

=

11

12

Fraction Simplification Table

Fraction	Lowest Terms
330/345	22/23
330/346	165/173
330/347	330/347
330/348	55/58
330/349	330/349
330/350	33/35
330/351	110/117
330/352	15/16
330/353	330/353
330/354	55/59
330/355	66/71
330/356	165/178
330/357	110/119
330/358	165/179
330/359	330/359
330/360	11/12
330/361	330/361
330/362	165/181
330/363	10/11
330/364	165/182
330/365	66/73
330/366	55/61
330/367	330/367
330/368	165/184
330/369	110/123
330/370	33/37
330/371	330/371
330/372	55/62
330/373	330/373
330/374	15/17

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 330/360 Simplified? (The answer is: 11/12). Enter the fraction (numerator and denominator) (e.g. '330/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 330/360) 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).

330/360 Simplified