What Is 1/6 Of 2

Fraction Calculator

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

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Mixed Numbers Estimator

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Simplify Fractions Calculator

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Decimal to Fraction Figurer

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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 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 case, in the fraction of

, the numerator is iii, and the denominator is 8. A more illustrative example could involve a pie with 8 slices. ane 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 iii slices, the remaining fraction of the pie would therefore be

as shown in the image to the correct. Notation that the denominator of a fraction cannot be 0, as it 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 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 also demand to be multiplied by the appropriate factors to preserve the value of the fraction every bit a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. Nevertheless, in most cases, the solutions to these equations volition not announced in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.

This procedure can be used for any number of fractions. Simply multiply the numerators and denominators of each fraction in the trouble by the product of the denominators of all the other fractions (not including its ain respective denominator) in the problem.

An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add together or decrease the numerators equally one would an integer. Using the least common multiple tin can be more efficient and is more likely to result in a fraction in simplified grade. In the instance above, the denominators were 4, vi, and 2. The to the lowest degree common multiple is the get-go shared multiple of these 3 numbers.

Multiples of 2: 2, 4, 6, viii x, 12

Multiples of 4: 4, viii, 12

Multiples of 6: 6, 12

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

Subtraction:

Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the performance to occur. Refer to the addition section besides equally the equations beneath for clarification.

Multiplication:

Multiplying fractions is adequately straightforward. Unlike adding and subtracting, it is non necessary to compute a mutual denominator in social club 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 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 beneath for description.

Simplification:

It is ofttimes 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 computer provided returns fraction inputs in both improper fraction course as well as mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator past their greatest common gene.

Converting betwixt fractions and decimals:

Converting from decimals to fractions is straightforward. Information technology does, however, require the agreement that each decimal place to the correct of the decimal bespeak represents a power of 10; the first decimal place being ten¹, the second 10ⁱⁱ, the third 10^three, and then on. Merely determine what power of 10 the decimal extends to, employ that power of 10 as the denominator, enter each number to the right of the decimal betoken as the numerator, and simplify. For example, looking at the number 0.1234, the number four is in the fourth decimal place, which constitutes ten^iv, or x,000. This would make the fraction

, which simplifies to

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

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

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

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

tin can exist converted to 0.5. If the fraction were instead

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

Common Engineering Fraction to Decimal Conversions

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

64^th	32^nd	16^th	8^th	4^th	two^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
ii/64	1/32					0.03125	0.79375
three/64						0.046875	ane.190625
4/64	2/32	1/16				0.0625	i.5875
five/64						0.078125	one.984375
6/64	3/32					0.09375	2.38125
7/64						0.109375	2.778125
eight/64	4/32	2/16	1/8			0.125	3.175
ix/64						0.140625	three.571875
x/64	5/32					0.15625	three.96875
11/64						0.171875	iv.365625
12/64	6/32	iii/16				0.1875	iv.7625
13/64						0.203125	five.159375
14/64	vii/32					0.21875	5.55625
15/64						0.234375	5.953125
16/64	8/32	4/sixteen	2/eight	1/4		0.25	6.35
17/64						0.265625	6.746875
xviii/64	9/32					0.28125	7.14375
19/64						0.296875	seven.540625
twenty/64	ten/32	5/16				0.3125	7.9375
21/64						0.328125	8.334375
22/64	xi/32					0.34375	8.73125
23/64						0.359375	9.128125
24/64	12/32	6/16	three/8			0.375	ix.525
25/64						0.390625	9.921875
26/64	13/32					0.40625	10.31875
27/64						0.421875	10.715625
28/64	14/32	seven/xvi				0.4375	eleven.1125
29/64						0.453125	11.509375
30/64	xv/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	xvi/32	viii/16	4/eight	ii/4	1/two	0.5	12.seven
33/64						0.515625	13.096875
34/64	17/32					0.53125	thirteen.49375
35/64						0.546875	xiii.890625
36/64	18/32	9/xvi				0.5625	14.2875
37/64						0.578125	14.684375
38/64	19/32					0.59375	15.08125
39/64						0.609375	15.478125
40/64	20/32	ten/sixteen	5/8			0.625	xv.875
41/64						0.640625	xvi.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	eighteen.653125
48/64	24/32	12/16	6/8	iii/iv		0.75	19.05
49/64						0.765625	xix.446875
50/64	25/32					0.78125	xix.84375
51/64						0.796875	20.240625
52/64	26/32	thirteen/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	14/16	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
threescore/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	16/16	8/8	4/four	2/ii	one	25.4

What Is 1/6 Of 2,

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