What is 105/20 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 105/20 Simplified?

Answer

Fraction 105/20 simplified to lowest terms is 21/4

105

20

=

21

4

21/4 is the simplified fraction of 105/20.

Since the numerator [105] is greater than the denominator [20] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

21

4

=5

1

4

Simplifying Fraction 105/20 using GCF

The first way to simplify the fraction 105/20 is to use the Greatest Common Factor (GCF) of our numerator [105] and denominator [20].

GCF of 105 and 20 is 5

And then divide both the numerator [105] and denominator [20] by the GCF [5].

105 ÷ 5

20 ÷ 5

=

21

4

Simplifying Fraction 105/20 using Prime Factors

Another method to reduce the fraction 105/20 to its simplest form is to use the Prime Factors of numerator [105] and denominator [20].

Prime Factors of 105: 3,5,7

Prime Factors of 20: 2,2,5

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 × 5

=

21

4

Simplifying Fraction 105/20 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [105] and denominator [20] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

105 ÷ 5

20 ÷ 5

=

21

4

Fraction Simplification Table

Fraction	Lowest Terms
105/10	21/2
105/20	21/4
105/21	5/1
105/30	7/2
105/70	3/2
105/120	7/8 (⅞)
105/140	3/4 (¾)
105/150	7/10
105/165	7/11
105/180	7/12
105/200	21/40
105/300	7/20
105/360	7/24
105/700	3/20
105/1200	7/80

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 105/20 Simplified? (The answer is: 21/4). Enter the fraction (numerator and denominator) (e.g. '105/20') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 105/20) 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).

105/20 Simplified