What is 105/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 105/360 Simplified?

Answer: Fraction 105/360 simplified to lowest terms is 7/24

105

/

360

=

7

/

24

7/24 is the simplified fraction of 105/360.

Simplifying Fraction 105/360 using GCF

The first way to simplify the fraction 105/360 is to use the Greatest Common Factor (GCF) of our numerator [105] and denominator [360].

GCF of 105 and 360 is 15

And then divide both the numerator [105] and denominator [360] by the GCF [15].

105 ÷ 15

/

360 ÷ 15

=

7

/

24

Simplifying Fraction 105/360 using Prime Factors

Another method to reduce the fraction 105/360 to its simplest form is to use the Prime Factors of numerator [105] and denominator [360].

Prime Factors of 105: 3,5,7

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:

3 × 5 × 7

/

2 × 2 × 2 × 3 × 3 × 5

=

7

/

24

Simplifying Fraction 105/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [105] 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.

105 ÷ 3

/

360 ÷ 3

=

35

/

120

35 ÷ 5

/

120 ÷ 5

=

7

/

24

Fraction Simplification Table

Fraction	Lowest Terms
105/345	7/23
105/346	105/346
105/347	105/347
105/348	35/116
105/349	105/349
105/350	3/10
105/351	35/117
105/352	105/352
105/353	105/353
105/354	35/118
105/355	21/71
105/356	105/356
105/357	5/17
105/358	105/358
105/359	105/359
105/360	7/24
105/361	105/361
105/362	105/362
105/363	35/121
105/364	15/52
105/365	21/73
105/366	35/122
105/367	105/367
105/368	105/368
105/369	35/123
105/370	21/74
105/371	15/53
105/372	35/124
105/373	105/373
105/374	105/374

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 105/360 Simplified? (The answer is: 7/24). Enter the fraction (numerator and denominator) (e.g. '105/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 105/360) 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).

105/360 Simplified