What's Half Of 1 8

Fraction Calculator

Beneath are multiple fraction calculators capable of improver, subtraction, multiplication, sectionalization, simplification, and conversion between fractions and decimals. Fields higher up the solid blackness line stand for the numerator, while fields below represent the denominator.

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Mixed Numbers Figurer

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Simplify Fractions Figurer

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Decimal to Fraction Reckoner

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Fraction to Decimal Figurer

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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 part 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 full number of parts that make upwardly said whole. For case, in the fraction of

, the numerator is 3, and the denominator is viii. A more illustrative example could involve a pie with 8 slices. i of those 8 slices would institute the numerator of a fraction, while the full of eight slices that comprises the whole pie would exist the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be

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

Addition:

Unlike adding and subtracting integers such every bit ii and 8, fractions crave 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 past the production of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to exist a multiple of each private 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 way to ensure that the fractions have a mutual denominator. However, in about cases, the solutions to these equations will not announced in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.

This process can exist used for whatsoever number of fractions. Simply multiply the numerators and denominators of each fraction in the problem past the production of the denominators of all the other fractions (not including its ain respective denominator) in the trouble.

An alternative method for finding a common denominator is to determine the least mutual multiple (LCM) for the denominators, then add together or subtract the numerators equally ane would an integer. Using the least common multiple can be more efficient and is more likely to issue in a fraction in simplified form. In the example above, the denominators were 4, six, and 2. The to the lowest degree common multiple is the beginning shared multiple of these three numbers.

Multiples of 2: 2, 4, half-dozen, 8 10, 12

Multiples of iv: 4, 8, 12

Multiples of 6: six, 12

The beginning 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 problem by whatever value will make the denominators 12, then add together the numerators.

Subtraction:

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

Multiplication:

Multiplying fractions is adequately straightforward. Unlike adding and subtracting, it is not necessary to compute a mutual denominator in order 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.

Partitioning:

The procedure 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 frequently easier to piece of work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.

for example, is more cumbersome than

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

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, notwithstanding, crave the understanding that each decimal place to the right of the decimal indicate represents a power of x; the first decimal place being xⁱ, the second x^two, the 3rd ten³, and so on. Simply determine what power of x the decimal extends to, utilise that power of 10 as the denominator, enter each number to the correct of the decimal indicate equally the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal identify, which constitutes 10⁴, or 10,000. This would make the fraction

, which simplifies to

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

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

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

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

can be converted to 0.5. If the fraction were instead

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

Common Applied science Fraction to Decimal Conversions

In engineering, fractions are widely used to describe the size of components such as pipes and bolts. The most common partial and decimal equivalents are listed beneath.

64^th	32^nd	16^th	8^thursday	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	1.190625
4/64	two/32	1/xvi				0.0625	1.5875
five/64						0.078125	ane.984375
vi/64	3/32					0.09375	2.38125
7/64						0.109375	ii.778125
8/64	4/32	ii/xvi	ane/eight			0.125	3.175
9/64						0.140625	3.571875
10/64	v/32					0.15625	3.96875
xi/64						0.171875	4.365625
12/64	vi/32	three/16				0.1875	4.7625
thirteen/64						0.203125	v.159375
fourteen/64	seven/32					0.21875	5.55625
15/64						0.234375	5.953125
16/64	eight/32	4/16	2/eight	1/4		0.25	6.35
17/64						0.265625	6.746875
18/64	ix/32					0.28125	seven.14375
19/64						0.296875	7.540625
xx/64	10/32	v/sixteen				0.3125	7.9375
21/64						0.328125	viii.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	nine.128125
24/64	12/32	6/sixteen	3/8			0.375	9.525
25/64						0.390625	nine.921875
26/64	13/32					0.40625	10.31875
27/64						0.421875	10.715625
28/64	14/32	7/xvi				0.4375	eleven.1125
29/64						0.453125	11.509375
30/64	15/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	eight/16	4/viii	two/4	1/two	0.five	12.vii
33/64						0.515625	13.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	13.890625
36/64	18/32	nine/16				0.5625	xiv.2875
37/64						0.578125	14.684375
38/64	xix/32					0.59375	fifteen.08125
39/64						0.609375	15.478125
40/64	20/32	10/16	five/viii			0.625	15.875
41/64						0.640625	16.271875
42/64	21/32					0.65625	sixteen.66875
43/64						0.671875	17.065625
44/64	22/32	eleven/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/sixteen	6/8	3/4		0.75	19.05
49/64						0.765625	19.446875
l/64	25/32					0.78125	xix.84375
51/64						0.796875	xx.240625
52/64	26/32	13/16				0.8125	xx.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	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	30/32	fifteen/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/sixteen	eight/8	4/4	two/2	1	25.4

What's Half Of 1 8,

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