What is 105/300 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 105/300 Simplified?

Answer: Fraction 105/300 simplified to lowest terms is 7/20

105

/

300

=

7

/

20

7/20 is the simplified fraction of 105/300.

Simplifying Fraction 105/300 using GCF

The first way to simplify the fraction 105/300 is to use the Greatest Common Factor (GCF) of our numerator [105] and denominator [300].

GCF of 105 and 300 is 15

And then divide both the numerator [105] and denominator [300] by the GCF [15].

105 ÷ 15

/

300 ÷ 15

=

7

/

20

Simplifying Fraction 105/300 using Prime Factors

Another method to reduce the fraction 105/300 to its simplest form is to use the Prime Factors of numerator [105] and denominator [300].

Prime Factors of 105: 3,5,7

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

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 × 3 × 5 × 5

=

7

/

20

Simplifying Fraction 105/300 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [105] and denominator [300] 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

/

300 ÷ 3

=

35

/

100

35 ÷ 5

/

100 ÷ 5

=

7

/

20

Fraction Simplification Table

Fraction	Lowest Terms
105/285	7/19
105/286	105/286
105/287	15/41
105/288	35/96
105/289	105/289
105/290	21/58
105/291	35/97
105/292	105/292
105/293	105/293
105/294	5/14
105/295	21/59
105/296	105/296
105/297	35/99
105/298	105/298
105/299	105/299
105/300	7/20
105/301	15/43
105/302	105/302
105/303	35/101
105/304	105/304
105/305	21/61
105/306	35/102
105/307	105/307
105/308	15/44
105/309	35/103
105/310	21/62
105/311	105/311
105/312	35/104
105/313	105/313
105/314	105/314

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 105/300 Simplified? (The answer is: 7/20). Enter the fraction (numerator and denominator) (e.g. '105/300') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 105/300) 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).

105/300 Simplified