What is 40/13 Simplified to Simplest Form?

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What is 40/13 Simplified?

Answer: Fraction 40/13 simplified to lowest terms is 40/13

40

/

13

The fraction 40/13 is already in the simplest form, so it isn't possible to reduce it any further - numerator 40 and denominator 13 have no common factors other than 1 (one)

Since the numerator [40] is greater than the denominator [13] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

40

/

13

=3

1

/

13

Simplifying Fraction 40/13 using GCF

The first way to simplify the fraction 40/13 is to use the Greatest Common Factor (GCF) of our numerator [40] and denominator [13].

GCF of 40 and 13 is 1

And then divide both the numerator [40] and denominator [13] by the GCF [1].

40 ÷ 1

/

13 ÷ 1

=

40

/

13

Simplifying Fraction 40/13 using Prime Factors

Another method to reduce the fraction 40/13 to its simplest form is to use the Prime Factors of numerator [40] and denominator [13].

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

Prime Factors of 13: 13

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

/

13

=

40

/

13

Simplifying Fraction 40/13 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [40] and denominator [13] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

In our case (40/13) there is no possible numbers to divide our numerator and denominator.

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This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 40/13 Simplified? (The answer is: 40/13). Enter the fraction (numerator and denominator) (e.g. '40/13') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 40/13) 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).

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Fraction Simplification Table

Fraction	Lowest Terms
40/1	40/1
40/2	20/1
40/3	40/3
40/4	10/1
40/5	8/1
40/6	20/3
40/7	40/7
40/8	5/1
40/9	40/9
40/10	4/1
40/11	40/11
40/12	10/3
40/13	40/13
40/14	20/7
40/15	8/3
40/16	5/2
40/17	40/17
40/18	20/9
40/19	40/19
40/20	2/1
40/21	40/21
40/22	20/11
40/23	40/23
40/24	5/3
40/25	8/5
40/26	20/13
40/27	40/27
40/28	10/7
40/29	40/29
40/30	4/3

40/13 Simplified

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