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 reminder.

105 ÷ 5

/

20 ÷ 5

=

21

/

4

Fraction Simplification Table

Fraction	Lowest Terms
105/5	21/1
105/6	35/2
105/7	15/1
105/8	105/8
105/9	35/3
105/10	21/2
105/11	105/11
105/12	35/4
105/13	105/13
105/14	15/2
105/15	7/1
105/16	105/16
105/17	105/17
105/18	35/6
105/19	105/19
105/20	21/4
105/21	5/1
105/22	105/22
105/23	105/23
105/24	35/8
105/25	21/5
105/26	105/26
105/27	35/9
105/28	15/4
105/29	105/29
105/30	7/2
105/31	105/31
105/32	105/32
105/33	35/11
105/34	105/34

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