What is 205/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 205/360 Simplified?

Answer: Fraction 205/360 simplified to lowest terms is 41/72

205

/

360

=

41

/

72

41/72 is the simplified fraction of 205/360.

Simplifying Fraction 205/360 using GCF

The first way to simplify the fraction 205/360 is to use the Greatest Common Factor (GCF) of our numerator [205] and denominator [360].

GCF of 205 and 360 is 5

And then divide both the numerator [205] and denominator [360] by the GCF [5].

205 ÷ 5

/

360 ÷ 5

=

41

/

72

Simplifying Fraction 205/360 using Prime Factors

Another method to reduce the fraction 205/360 to its simplest form is to use the Prime Factors of numerator [205] and denominator [360].

Prime Factors of 205: 5,41

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:

5 × 41

/

2 × 2 × 2 × 3 × 3 × 5

=

41

/

72

Simplifying Fraction 205/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [205] 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.

205 ÷ 5

/

360 ÷ 5

=

41

/

72

Fraction Simplification Table

Fraction	Lowest Terms
205/345	41/69
205/346	205/346
205/347	205/347
205/348	205/348
205/349	205/349
205/350	41/70
205/351	205/351
205/352	205/352
205/353	205/353
205/354	205/354
205/355	41/71
205/356	205/356
205/357	205/357
205/358	205/358
205/359	205/359
205/360	41/72
205/361	205/361
205/362	205/362
205/363	205/363
205/364	205/364
205/365	41/73
205/366	205/366
205/367	205/367
205/368	205/368
205/369	5/9
205/370	41/74
205/371	205/371
205/372	205/372
205/373	205/373
205/374	205/374

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 205/360 Simplified? (The answer is: 41/72). Enter the fraction (numerator and denominator) (e.g. '205/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 205/360) 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).

205/360 Simplified