40/360 Simplified

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What is 40/360 Simplified?

Answer

Fraction 40/360 simplified to lowest terms is 1/9 (⅑)
40
360
=
1
9

1/9 (⅑) is the simplified fraction of 40/360.

Simplifying Fraction 40/360 using GCF

The first way to simplify the fraction 40/360 is to use the Greatest Common Factor (GCF) of our numerator [40] and denominator [360].

GCF of 40 and 360 is 40

And then divide both the numerator [40] and denominator [360] by the GCF [40].

40 ÷ 40
360 ÷ 40
=
1
9

Simplifying Fraction 40/360 using Prime Factors

Another method to reduce the fraction 40/360 to its simplest form is to use the Prime Factors of numerator [40] and denominator [360].

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

Prime Factors of 360: 2,2,2,3,3,5

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
2 × 2 × 2 × 3 × 3 × 5
=
1
9

Simplifying Fraction 40/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [40] and denominator [360] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

40 ÷ 2
360 ÷ 2
=
20
180
20 ÷ 2
180 ÷ 2
=
10
90
10 ÷ 2
90 ÷ 2
=
5
45
5 ÷ 5
45 ÷ 5
=
1
9

Related Calculations

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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 40/360 Simplified? (The answer is: 1/9 (⅑)). Enter the fraction (numerator and denominator) (e.g. '40/360') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 40/360) 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).

Fraction Simplifier Calculator

Simplify the Fraction

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Fraction Simplification Table

FractionLowest Terms
40/758/15
40/7610/19
40/801/2 (½)
40/8410/21
40/858/17
40/885/11
40/904/9
40/958/19
40/965/12
40/9940/99
40/1002/5 (⅖)
40/1058/21
40/1104/11
40/1201/3 (⅓)
40/1304/13
40/1402/7
40/1504/15
40/1601/4 (¼)
40/1704/17
40/1802/9
40/1904/19
40/2001/5 (⅕)
40/2085/26
40/3002/15
40/3601/9 (⅑)
40/4001/10 (⅒)
40/5002/25
40/6001/15
40/8001/20
40/10001/25

FAQ

What is 40/360 Simplified?

Fraction 40/360 simplified to lowest terms is 1/9 (⅑)

How do you simplify 40/360?

40/360 simplified to lowest terms is 1/9 (⅑). Divide both the numerator and denominator by their GCF (40).

What is the GCF of 40 and 360?

The Greatest Common Factor of 40 and 360 is 40.

See Also