4 12 As A Fraction

Fraction Calculator

Beneath 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 correspond 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

Utilize 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 full number of parts that make up said whole. For instance, in the fraction of

, the numerator is three, and the denominator is 8. A more than illustrative instance could involve a pie with 8 slices. 1 of those 8 slices would found 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 three slices, the remaining fraction of the pie would therefore be

as shown in the paradigm to the right. Note that the denominator of a fraction cannot be 0, every bit information technology would make the fraction undefined. Fractions tin undergo many different operations, some of which are mentioned below.

Add-on:

Unlike adding and subtracting integers such every bit 2 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 sure to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction equally a whole. This is arguably the simplest style to ensure that the fractions have a common denominator. However, in about cases, the solutions to these equations will not appear in simplified form (the provided computer computes the simplification automatically). Below is an instance using this method.

This procedure can be used for whatsoever number of fractions. Merely 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 respective denominator) in the problem.

An culling method for finding a common denominator is to make up one's mind the to the lowest degree common multiple (LCM) for the denominators, then add together or subtract the numerators as i would an integer. Using the to the lowest degree mutual multiple can be more than efficient and is more 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 starting time shared multiple of these 3 numbers.

Multiples of ii: two, 4, 6, eight ten, 12

Multiples of four: 4, eight, 12

Multiples of 6: six, 12

The first multiple they all share is 12, so this is the least common multiple. To complete an add-on (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem past whatever value will brand the denominators 12, and so add the numerators.

Subtraction:

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

Multiplication:

Multiplying fractions is fairly straightforward. Unlike adding and subtracting, information technology is not necessary to compute a common denominator in gild 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 below for clarification.

Sectionalization:

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 exist

. Refer to the equations below for clarification.

Simplification:

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

for case, is more cumbersome than

. The reckoner provided returns fraction inputs in both improper fraction course every bit well as mixed number form. In both cases, fractions are presented in their everyman forms by dividing both numerator and denominator by their greatest mutual cistron.

Converting betwixt fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal identify to the right of the decimal signal represents a power of 10; the showtime decimal identify beingness x¹, the second 10^two, the third 10ⁱⁱⁱ, and and so on. Simply determine what power of ten the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal point every bit the numerator, and simplify. For example, looking at the number 0.1234, the number four is in the fourth decimal identify, which constitutes 10⁴, or ten,000. This would make the fraction

, which simplifies to

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

Similarly, fractions with denominators that are powers of ten (or tin 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 kickoff decimal place represents 10^-1,

can be converted to 0.5. If the fraction were instead

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

Mutual Technology Fraction to Decimal Conversions

In applied science, fractions are widely used to depict the size of components such as pipes and bolts. The nearly mutual fractional and decimal equivalents are listed below.

64^th	32^nd	16^th	eight^thursday	4^thursday	two^nd	Decimal	Decimal (inch to mm)
ane/64						0.015625	0.396875
2/64	1/32					0.03125	0.79375
3/64						0.046875	1.190625
4/64	2/32	1/xvi				0.0625	1.5875
5/64						0.078125	1.984375
6/64	3/32					0.09375	2.38125
7/64						0.109375	ii.778125
8/64	4/32	2/16	one/8			0.125	three.175
nine/64						0.140625	three.571875
ten/64	5/32					0.15625	3.96875
xi/64						0.171875	4.365625
12/64	6/32	3/xvi				0.1875	iv.7625
xiii/64						0.203125	5.159375
xiv/64	7/32					0.21875	5.55625
15/64						0.234375	5.953125
16/64	8/32	four/16	2/eight	one/4		0.25	6.35
17/64						0.265625	six.746875
18/64	9/32					0.28125	7.14375
19/64						0.296875	vii.540625
20/64	10/32	5/16				0.3125	7.9375
21/64						0.328125	8.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	9.128125
24/64	12/32	6/16	3/8			0.375	9.525
25/64						0.390625	ix.921875
26/64	13/32					0.40625	x.31875
27/64						0.421875	10.715625
28/64	xiv/32	7/16				0.4375	eleven.1125
29/64						0.453125	xi.509375
thirty/64	xv/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	8/16	4/8	ii/4	1/2	0.five	12.7
33/64						0.515625	xiii.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	13.890625
36/64	xviii/32	9/16				0.5625	14.2875
37/64						0.578125	fourteen.684375
38/64	xix/32					0.59375	15.08125
39/64						0.609375	15.478125
xl/64	20/32	ten/16	v/8			0.625	fifteen.875
41/64						0.640625	16.271875
42/64	21/32					0.65625	sixteen.66875
43/64						0.671875	17.065625
44/64	22/32	11/xvi				0.6875	17.4625
45/64						0.703125	17.859375
46/64	23/32					0.71875	eighteen.25625
47/64						0.734375	18.653125
48/64	24/32	12/xvi	6/8	three/4		0.75	xix.05
49/64						0.765625	19.446875
fifty/64	25/32					0.78125	19.84375
51/64						0.796875	20.240625
52/64	26/32	xiii/16				0.8125	twenty.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	seven/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
60/64	xxx/32	15/sixteen				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	xvi/16	8/eight	four/4	ii/2	1	25.iv

4 12 As A Fraction,

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