105/300 Simplified

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].

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

FractionLowest Terms
105/285
105/286105/286
105/28715/41
105/28835/96
105/289105/289
105/29021/58
105/29135/97
105/292105/292
105/293105/293
105/294
105/29521/59
105/296105/296
105/29735/99
105/298105/298
105/299105/299
105/30115/43
105/302105/302
105/30335/101
105/304105/304
105/30521/61
105/30635/102
105/307105/307
105/308
105/30935/103
105/31021/62
105/311105/311
105/31235/104
105/313105/313
105/314105/314

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).

FAQ

What is 105/300 Simplified?

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