5 6 Divided By 8

Fraction Calculator

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion betwixt fractions and decimals. Fields above the solid black line stand for the numerator, while fields below 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 estimator if the numerators or denominators are very big integers.

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In mathematics, a fraction is a number that represents a function 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 up said whole. For instance, in the fraction of

, the numerator is 3, and the denominator is 8. A more than illustrative example could involve a pie with viii slices. 1 of those viii slices would constitute the numerator of a fraction, while the total of viii 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 paradigm to the right. Notation that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.

Addition:

Dissimilar adding and subtracting integers such equally ii and 8, fractions require a common denominator to undergo these operations. One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product 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 likewise need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a mutual denominator. However, in almost cases, the solutions to these equations will not appear in simplified class (the provided calculator computes the simplification automatically). Beneath is an example using this method.

This procedure can be used for any number of fractions. Only multiply the numerators and denominators of each fraction in the problem past the product of the denominators of all the other fractions (non including its ain corresponding denominator) in the problem.

An alternative method for finding a common denominator is to decide the least common multiple (LCM) for the denominators, and so add or decrease the numerators as one would an integer. Using the least mutual multiple can exist more efficient and is more likely to upshot in a fraction in simplified form. In the example above, the denominators were iv, vi, and 2. The least common multiple is the kickoff shared multiple of these 3 numbers.

Multiples of 2: two, four, 6, 8 10, 12

Multiples of 4: 4, 8, 12

Multiples of half dozen: 6, 12

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

Subtraction:

Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation to occur. Refer to the addition section as well as the equations below for clarification.

Multiplication:

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

Division:

The process for dividing fractions is like to that for multiplying fractions. In lodge 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 exist

. Refer to the equations beneath for clarification.

Simplification:

It 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 reckoner provided returns fraction inputs in both improper fraction form besides as mixed number form. In both cases, fractions are presented in their everyman forms by dividing both numerator and denominator by their greatest common gene.

Converting betwixt fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, require the agreement that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10^one, the second x², the third 10³, and and then on. Merely decide what power of 10 the decimal extends to, utilise that power of 10 as the denominator, enter each number to the right of the decimal bespeak every bit the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 10^iv, 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 x (or can exist converted to powers of 10) tin can exist translated to decimal grade using the same principles. Take the fraction

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

. Knowing that the first decimal place represents x^-ane,

can be converted to 0.5. If the fraction were instead

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

Mutual Engineering Fraction to Decimal Conversions

In engineering, fractions are widely used to describe the size of components such equally pipes and bolts. The well-nigh common fractional and decimal equivalents are listed below.

64^th	32^nd	16^thursday	8^thursday	4^th	2^nd	Decimal	Decimal (inch to mm)
i/64						0.015625	0.396875
2/64	1/32					0.03125	0.79375
three/64						0.046875	1.190625
4/64	ii/32	1/16				0.0625	1.5875
five/64						0.078125	i.984375
6/64	3/32					0.09375	2.38125
seven/64						0.109375	two.778125
8/64	4/32	2/16	ane/viii			0.125	3.175
9/64						0.140625	3.571875
x/64	5/32					0.15625	3.96875
11/64						0.171875	4.365625
12/64	half dozen/32	3/16				0.1875	4.7625
13/64						0.203125	5.159375
14/64	7/32					0.21875	five.55625
15/64						0.234375	v.953125
xvi/64	8/32	4/sixteen	2/8	i/four		0.25	half-dozen.35
17/64						0.265625	6.746875
18/64	9/32					0.28125	7.14375
19/64						0.296875	7.540625
20/64	ten/32	five/16				0.3125	7.9375
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	3/viii			0.375	ix.525
25/64						0.390625	9.921875
26/64	xiii/32					0.40625	10.31875
27/64						0.421875	10.715625
28/64	14/32	seven/16				0.4375	11.1125
29/64						0.453125	11.509375
xxx/64	15/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	sixteen/32	8/16	4/eight	two/4	1/two	0.5	12.seven
33/64						0.515625	13.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	xiii.890625
36/64	eighteen/32	9/sixteen				0.5625	14.2875
37/64						0.578125	14.684375
38/64	19/32					0.59375	15.08125
39/64						0.609375	15.478125
xl/64	20/32	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	eighteen.25625
47/64						0.734375	xviii.653125
48/64	24/32	12/16	6/8	3/4		0.75	19.05
49/64						0.765625	19.446875
50/64	25/32					0.78125	nineteen.84375
51/64						0.796875	xx.240625
52/64	26/32	13/16				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/sixteen	7/8			0.875	22.225
57/64						0.890625	22.621875
58/64	29/32					0.90625	23.01875
59/64						0.921875	23.415625
threescore/64	30/32	xv/xvi				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/viii	4/four	2/2	i	25.4

5 6 Divided By 8,

Source: https://www.calculator.net/fraction-calculator.html

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