What is 30/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 30/360 Simplified?

Answer: Fraction 30/360 simplified to lowest terms is 1/12

30

/

360

=

1

/

12

1/12 is the simplified fraction of 30/360.

Simplifying Fraction 30/360 using GCF

The first way to simplify the fraction 30/360 is to use the Greatest Common Factor (GCF) of our numerator [30] and denominator [360].

GCF of 30 and 360 is 30

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

30 ÷ 30

/

360 ÷ 30

=

1

/

12

Simplifying Fraction 30/360 using Prime Factors

Another method to reduce the fraction 30/360 to its simplest form is to use the Prime Factors of numerator [30] and denominator [360].

Prime Factors of 30: 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 × 3 × 5

/

2 × 2 × 2 × 3 × 3 × 5

=

1

/

12

Simplifying Fraction 30/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [30] 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.

30 ÷ 2

/

360 ÷ 2

=

15

/

180

15 ÷ 3

/

180 ÷ 3

=

5

/

60

5 ÷ 5

/

60 ÷ 5

=

1

/

12

Related Calculations

Fraction Simplification Table

Fraction	Lowest Terms
30/345	2/23
30/346	15/173
30/347	30/347
30/348	5/58
30/349	30/349
30/350	3/35
30/351	10/117
30/352	15/176
30/353	30/353
30/354	5/59
30/355	6/71
30/356	15/178
30/357	10/119
30/358	15/179
30/359	30/359
30/360	1/12
30/361	30/361
30/362	15/181
30/363	10/121
30/364	15/182
30/365	6/73
30/366	5/61
30/367	30/367
30/368	15/184
30/369	10/123
30/370	3/37
30/371	30/371
30/372	5/62
30/373	30/373
30/374	15/187

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 30/360 Simplified? (The answer is: 1/12). Enter the fraction (numerator and denominator) (e.g. '30/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 30/360) 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).

30/360 Simplified