What is 40/105 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 40/105 Simplified?

Answer: Fraction 40/105 simplified to lowest terms is 8/21

40

/

105

=

8

/

21

8/21 is the simplified fraction of 40/105.

Simplifying Fraction 40/105 using GCF

The first way to simplify the fraction 40/105 is to use the Greatest Common Factor (GCF) of our numerator [40] and denominator [105].

GCF of 40 and 105 is 5

And then divide both the numerator [40] and denominator [105] by the GCF [5].

40 ÷ 5

/

105 ÷ 5

=

8

/

21

Simplifying Fraction 40/105 using Prime Factors

Another method to reduce the fraction 40/105 to its simplest form is to use the Prime Factors of numerator [40] and denominator [105].

Prime Factors of 40: 2,2,2,5

Prime Factors of 105: 3,5,7

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

2 × 2 × 2 × 5

/

3 × 5 × 7

=

8

/

21

Simplifying Fraction 40/105 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [40] and denominator [105] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

40 ÷ 5

/

105 ÷ 5

=

8

/

21

Related Calculations

What is 40% off 105?

Fraction Simplification Table

Fraction	Lowest Terms
40/90	4/9
40/91	40/91
40/92	10/23
40/93	40/93
40/94	20/47
40/95	8/19
40/96	5/12
40/97	40/97
40/98	20/49
40/99	40/99
40/100	2/5 (⅖)
40/101	40/101
40/102	20/51
40/103	40/103
40/104	5/13
40/105	8/21
40/106	20/53
40/107	40/107
40/108	10/27
40/109	40/109
40/110	4/11
40/111	40/111
40/112	5/14
40/113	40/113
40/114	20/57
40/115	8/23
40/116	10/29
40/117	40/117
40/118	20/59
40/119	40/119

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 40/105 Simplified? (The answer is: 8/21). Enter the fraction (numerator and denominator) (e.g. '40/105') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 40/105) 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).

40/105 Simplified