8 Divided By 6 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 represent the numerator, while fields beneath correspond the denominator.

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Mixed Numbers Calculator

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Simplify Fractions Reckoner

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Decimal to Fraction Figurer

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Fraction to Decimal Calculator

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Big Number Fraction Calculator

Utilise this calculator if the numerators or denominators are very large integers.

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In mathematics, a fraction is a number that represents a part of a whole. It 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 upwards said whole. For example, in the fraction of

, the numerator is three, and the denominator is viii. A more 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

equally shown in the paradigm to the right. Note that the denominator of a fraction cannot be 0, every bit it would brand the fraction undefined. Fractions can undergo many dissimilar operations, some of which are mentioned below.

Addition:

Different adding and subtracting integers such equally 2 and eight, fractions require a common denominator to undergo these operations. 1 method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved past the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is sure to be a multiple of each individual denominator. The numerators as well need to be multiplied by the advisable factors to preserve the value of the fraction as a whole. This is arguably the simplest manner to ensure that the fractions have a common denominator. Nonetheless, in virtually cases, the solutions to these equations volition not announced in simplified form (the provided reckoner computes the simplification automatically). Beneath is an instance using this method.

This process can be used for any number of fractions. Just 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 ain corresponding denominator) in the problem.

An alternative method for finding a common denominator is to decide the least mutual multiple (LCM) for the denominators, then add together or decrease the numerators equally 1 would an integer. Using the least common multiple tin can be more than efficient and is more than likely to result in a fraction in simplified class. In the example above, the denominators were 4, 6, and 2. The to the lowest degree common multiple is the beginning shared multiple of these three numbers.

Multiples of 2: 2, 4, vi, 8 10, 12

Multiples of 4: four, 8, 12

Multiples of vi: 6, 12

The kickoff multiple they all share is 12, so this is the least common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the trouble by whatever value will make the denominators 12, then add the numerators.

Subtraction:

Fraction subtraction is essentially the same every bit fraction addition. A mutual denominator is required for the operation to occur. Refer to the addition department every bit well as the equations below for clarification.

Multiplication:

Multiplying fractions is adequately straightforward. Unlike adding and subtracting, information technology is not necessary to compute a common denominator in order to multiply fractions. Simply, 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 clarification.

Division:

The process for dividing fractions is similar to that for multiplying fractions. In order 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 essentially 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:

Information technology is often easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.

for example, is more cumbersome than

. The figurer provided returns fraction inputs in both improper fraction grade as well every bit mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator past their greatest mutual factor.

Converting betwixt fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the correct of the decimal betoken represents a power of 10; the starting time decimal identify beingness 10^ane, the second 10², the third 10³, then on. Just make up one's mind what power of 10 the decimal extends to, use that ability of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal identify, which constitutes 10^four, or 10,000. This would make the fraction

, which simplifies to

, since the greatest mutual factor between the numerator and denominator is two.

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

for example. To catechumen this fraction into a decimal, first convert information technology into the fraction of

. Knowing that the first decimal identify represents 10^-1,

can be converted to 0.5. If the fraction were instead

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

Common Engineering Fraction to Decimal Conversions

In engineering science, fractions are widely used to draw 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^thursday	iv^th	2^nd	Decimal	Decimal (inch to mm)
one/64						0.015625	0.396875
2/64	1/32					0.03125	0.79375
iii/64						0.046875	1.190625
four/64	ii/32	1/16				0.0625	i.5875
v/64						0.078125	1.984375
half-dozen/64	three/32					0.09375	2.38125
vii/64						0.109375	2.778125
8/64	4/32	two/16	1/8			0.125	iii.175
9/64						0.140625	3.571875
10/64	5/32					0.15625	3.96875
xi/64						0.171875	4.365625
12/64	6/32	3/16				0.1875	4.7625
13/64						0.203125	5.159375
xiv/64	7/32					0.21875	5.55625
15/64						0.234375	5.953125
16/64	8/32	4/16	2/8	1/4		0.25	6.35
17/64						0.265625	six.746875
18/64	ix/32					0.28125	vii.14375
19/64						0.296875	7.540625
20/64	10/32	5/xvi				0.3125	7.9375
21/64						0.328125	eight.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	9.128125
24/64	12/32	6/16	three/8			0.375	9.525
25/64						0.390625	9.921875
26/64	xiii/32					0.40625	x.31875
27/64						0.421875	10.715625
28/64	14/32	vii/16				0.4375	11.1125
29/64						0.453125	xi.509375
30/64	fifteen/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	sixteen/32	8/sixteen	4/8	2/iv	one/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	xiv.2875
37/64						0.578125	fourteen.684375
38/64	19/32					0.59375	15.08125
39/64						0.609375	15.478125
40/64	xx/32	ten/sixteen	5/eight			0.625	15.875
41/64						0.640625	sixteen.271875
42/64	21/32					0.65625	16.66875
43/64						0.671875	17.065625
44/64	22/32	11/16				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	3/4		0.75	19.05
49/64						0.765625	nineteen.446875
50/64	25/32					0.78125	19.84375
51/64						0.796875	twenty.240625
52/64	26/32	thirteen/16				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	14/16	7/viii			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	30/32	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	sixteen/16	8/8	four/four	2/2	1	25.4