2 Divided By 5 Fraction

Fraction Calculator

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line stand for the numerator, while fields beneath represent the denominator.

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Mixed Numbers Calculator

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Simplify Fractions Calculator

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Decimal to Fraction Calculator

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Fraction to Decimal Calculator

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Big Number Fraction Calculator

Use this calculator if the numerators or denominators are very big integers.

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In mathematics, a fraction is a number that represents a role of a whole. Information technology consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make upward said whole. For example, in the fraction of

, the numerator is iii, and the denominator is 8. A more than illustrative example could involve a pie with eight slices. 1 of those eight slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be

as shown in the prototype to the right. Note that the denominator of a fraction cannot exist 0, equally it would make the fraction undefined. Fractions can undergo many dissimilar operations, some of which are mentioned below.

Addition:

Dissimilar adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. One method for finding a mutual denominator involves multiplying the numerators and denominators of all of the fractions involved by the production of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators as well need to exist multiplied past the appropriate factors to preserve the value of the fraction equally a whole. This is arguably the simplest way to ensure that the fractions accept a common denominator. However, in most cases, the solutions to these equations will not announced in simplified course (the provided calculator computes the simplification automatically). Below is an example using this method.

This process can exist used for any number of fractions. Only multiply the numerators and denominators of each fraction in the problem by the product of the denominators of all the other fractions (not including its own respective denominator) in the problem.

An alternative method for finding a common denominator is to determine the least mutual multiple (LCM) for the denominators, and then add together or decrease the numerators as one would an integer. Using the least common multiple can be more efficient and is more probable to event in a fraction in simplified form. In the example in a higher place, the denominators were iv, six, and 2. The to the lowest degree common multiple is the get-go shared multiple of these iii numbers.

Multiples of 2: 2, iv, half-dozen, 8 10, 12

Multiples of four: 4, 8, 12

Multiples of 6: vi, 12

The commencement multiple they all share is 12, so this is the least mutual multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatsoever value volition make the denominators 12, and so add the numerators.

Subtraction:

Fraction subtraction is substantially the same every bit fraction add-on. A common denominator is required for the operation to occur. Refer to the add-on section equally well as the equations below for clarification.

Multiplication:

Multiplying fractions is fairly straightforward. Different adding and subtracting, it is not necessary to compute a common denominator in society to multiply fractions. Just, the numerators and denominators of each fraction are multiplied, and the result forms a new numerator and denominator. If possible, the solution should be simplified. Refer to the equations beneath for description.

Division:

The process for dividing fractions is similar to that for multiplying fractions. In club to divide fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number a is simply

. When a is a fraction, this substantially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction

would therefore be

. Refer to the equations below for clarification.

Simplification:

It is oftentimes easier to work with simplified fractions. As such, fraction solutions are usually expressed in their simplified forms.

for case, is more than cumbersome than

. The calculator provided returns fraction inputs in both improper fraction grade as well equally mixed number grade. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest common factor.

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, crave the agreement that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10ⁱ, the 2d 10², the third 10³, and then on. Just make up one's mind what power of x the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal indicate equally the numerator, and simplify. For example, looking at the number 0.1234, the number four is in the fourth decimal place, which constitutes x⁴, or 10,000. This would make the fraction

, which simplifies to

, since the greatest common factor between the numerator and denominator is 2.

Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of ten) can be translated to decimal form using the same principles. Take the fraction

for example. To convert this fraction into a decimal, first convert it into the fraction of

. Knowing that the showtime decimal place represents 10^-ane,

can be converted to 0.5. If the fraction were instead

, the decimal would so be 0.05, and so on. Beyond this, converting fractions into decimals requires the operation of long division.

Common Engineering Fraction to Decimal Conversions

In technology, fractions are widely used to depict the size of components such as pipes and bolts. The most common fractional and decimal equivalents are listed below.

64^th	32^nd	16^thursday	8^th	4^th	2^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
2/64	one/32					0.03125	0.79375
3/64						0.046875	i.190625
4/64	2/32	1/16				0.0625	1.5875
5/64						0.078125	1.984375
6/64	iii/32					0.09375	2.38125
7/64						0.109375	2.778125
8/64	four/32	2/16	one/8			0.125	3.175
9/64						0.140625	3.571875
10/64	5/32					0.15625	iii.96875
xi/64						0.171875	4.365625
12/64	6/32	three/16				0.1875	4.7625
13/64						0.203125	5.159375
fourteen/64	7/32					0.21875	5.55625
15/64						0.234375	5.953125
16/64	8/32	4/xvi	two/8	i/four		0.25	6.35
17/64						0.265625	6.746875
eighteen/64	9/32					0.28125	seven.14375
19/64						0.296875	7.540625
20/64	10/32	5/16				0.3125	seven.9375
21/64						0.328125	8.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	nine.128125
24/64	12/32	vi/16	three/8			0.375	9.525
25/64						0.390625	9.921875
26/64	xiii/32					0.40625	ten.31875
27/64						0.421875	10.715625
28/64	14/32	7/16				0.4375	11.1125
29/64						0.453125	11.509375
xxx/64	fifteen/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	8/xvi	iv/8	2/iv	1/2	0.5	12.7
33/64						0.515625	13.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	13.890625
36/64	18/32	9/16				0.5625	fourteen.2875
37/64						0.578125	14.684375
38/64	nineteen/32					0.59375	15.08125
39/64						0.609375	15.478125
twoscore/64	twenty/32	10/16	5/viii			0.625	fifteen.875
41/64						0.640625	sixteen.271875
42/64	21/32					0.65625	16.66875
43/64						0.671875	17.065625
44/64	22/32	xi/16				0.6875	17.4625
45/64						0.703125	17.859375
46/64	23/32					0.71875	18.25625
47/64						0.734375	18.653125
48/64	24/32	12/16	6/8	iii/iv		0.75	19.05
49/64						0.765625	19.446875
50/64	25/32					0.78125	nineteen.84375
51/64						0.796875	20.240625
52/64	26/32	13/xvi				0.8125	20.6375
53/64						0.828125	21.034375
54/64	27/32					0.84375	21.43125
55/64						0.859375	21.828125
56/64	28/32	14/sixteen	vii/eight			0.875	22.225
57/64						0.890625	22.621875
58/64	29/32					0.90625	23.01875
59/64						0.921875	23.415625
60/64	xxx/32	15/16				0.9375	23.8125
61/64						0.953125	24.209375
62/64	31/32					0.96875	24.60625
63/64						0.984375	25.003125
64/64	32/32	16/16	8/8	4/four	2/ii	ane	25.4