What is 300/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 300/360 Simplified?

Answer

Fraction 300/360 simplified to lowest terms is 5/6 (⅚)

300

360

=

5

6

5/6 (⅚) is the simplified fraction of 300/360.

Simplifying Fraction 300/360 using GCF

The first way to simplify the fraction 300/360 is to use the Greatest Common Factor (GCF) of our numerator [300] and denominator [360].

GCF of 300 and 360 is 60

And then divide both the numerator [300] and denominator [360] by the GCF [60].

300 ÷ 60

360 ÷ 60

=

5

6

Simplifying Fraction 300/360 using Prime Factors

Another method to reduce the fraction 300/360 to its simplest form is to use the Prime Factors of numerator [300] and denominator [360].

Prime Factors of 300: 2,2,3,5,5

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 × 3 × 5 × 5

2 × 2 × 2 × 3 × 3 × 5

=

5

6

Simplifying Fraction 300/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [300] 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.

300 ÷ 2

360 ÷ 2

=

150

180

150 ÷ 2

180 ÷ 2

=

75

90

75 ÷ 3

90 ÷ 3

=

25

30

25 ÷ 5

30 ÷ 5

=

5

6

Fraction Simplification Table

Fraction	Lowest Terms
300/345	20/23
300/346	150/173
300/347	300/347
300/348	25/29
300/349	300/349
300/350	6/7
300/351	100/117
300/352	75/88
300/353	300/353
300/354	50/59
300/355	60/71
300/356	75/89
300/357	100/119
300/358	150/179
300/359	300/359
300/360	5/6 (⅚)
300/361	300/361
300/362	150/181
300/363	100/121
300/364	75/91
300/365	60/73
300/366	50/61
300/367	300/367
300/368	75/92
300/369	100/123
300/370	30/37
300/371	300/371
300/372	25/31
300/373	300/373
300/374	150/187

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 300/360 Simplified? (The answer is: 5/6 (⅚)). Enter the fraction (numerator and denominator) (e.g. '300/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 300/360) 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).

300/360 Simplified