What Is 3 X 1/6

Fraction Calculator

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion betwixt fractions and decimals. Fields higher up the solid blackness line represent the numerator, while fields below stand for the denominator.

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Mixed Numbers Computer

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Simplify Fractions Calculator

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Decimal to Fraction Computer

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Fraction to Decimal Computer

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Big Number Fraction Figurer

Utilize 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 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 upwardly said whole. For example, in the fraction of

, the numerator is 3, and the denominator is 8. A more illustrative instance could involve a pie with eight slices. ane 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 swallow three 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 can undergo many different operations, some of which are mentioned below.

Addition:

Different adding and subtracting integers such every bit 2 and 8, fractions crave a mutual 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 sure to be a multiple of each private denominator. The numerators besides demand to be multiplied by the advisable factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations volition not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.

This process can be used for any number of fractions. Only 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 own respective denominator) in the trouble.

An culling method for finding a common denominator is to determine the to the lowest degree common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least mutual multiple tin be more efficient and is more likely to consequence in a fraction in simplified form. In the example higher up, the denominators were 4, 6, and 2. The least common multiple is the outset shared multiple of these 3 numbers.

Multiples of ii: ii, four, half-dozen, 8 10, 12

Multiples of 4: 4, 8, 12

Multiples of 6: half dozen, 12

The first multiple they all share is 12, and then this is the to the lowest degree mutual multiple. To consummate an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem past any 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 as well as the equations below for clarification.

Multiplication:

Multiplying fractions is adequately straightforward. Different calculation 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 consequence forms a new numerator and denominator. If possible, the solution should be simplified. Refer to the equations below for clarification.

Segmentation:

The procedure for dividing fractions is similar to that for multiplying fractions. In gild 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:

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 calculator provided returns fraction inputs in both improper fraction form besides as mixed number grade. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest mutual factor.

Converting between 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 bespeak represents a power of 10; the first decimal place being x¹, the second ten², the third 10^three, and and then on. Simply make up one's mind what ability of 10 the decimal extends to, utilize 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 4 is in the quaternary decimal place, which constitutes 10⁴, or x,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 be converted to powers of x) can exist translated to decimal grade using the same principles. Have the fraction

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

. Knowing that the starting time decimal place represents 10^-i,

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 functioning of long division.

Mutual Applied science Fraction to Decimal Conversions

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

64^th	32^nd	16^th	8^thursday	4^th	ii^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
2/64	1/32					0.03125	0.79375
3/64						0.046875	one.190625
4/64	2/32	i/16				0.0625	1.5875
5/64						0.078125	1.984375
vi/64	3/32					0.09375	2.38125
7/64						0.109375	two.778125
eight/64	iv/32	two/xvi	1/8			0.125	3.175
ix/64						0.140625	three.571875
10/64	5/32					0.15625	3.96875
11/64						0.171875	four.365625
12/64	6/32	3/xvi				0.1875	4.7625
13/64						0.203125	5.159375
14/64	vii/32					0.21875	5.55625
fifteen/64						0.234375	5.953125
16/64	8/32	four/xvi	2/8	ane/4		0.25	vi.35
17/64						0.265625	six.746875
18/64	ix/32					0.28125	7.14375
nineteen/64						0.296875	seven.540625
xx/64	10/32	5/xvi				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/viii			0.375	9.525
25/64						0.390625	ix.921875
26/64	13/32					0.40625	10.31875
27/64						0.421875	10.715625
28/64	fourteen/32	7/16				0.4375	11.1125
29/64						0.453125	11.509375
30/64	15/32					0.46875	xi.90625
31/64						0.484375	12.303125
32/64	16/32	8/16	4/8	2/4	i/2	0.five	12.vii
33/64						0.515625	13.096875
34/64	17/32					0.53125	thirteen.49375
35/64						0.546875	13.890625
36/64	xviii/32	ix/xvi				0.5625	fourteen.2875
37/64						0.578125	14.684375
38/64	19/32					0.59375	xv.08125
39/64						0.609375	15.478125
xl/64	twenty/32	10/16	5/eight			0.625	15.875
41/64						0.640625	xvi.271875
42/64	21/32					0.65625	16.66875
43/64						0.671875	17.065625
44/64	22/32	xi/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	vi/8	3/4		0.75	19.05
49/64						0.765625	xix.446875
50/64	25/32					0.78125	19.84375
51/64						0.796875	20.240625
52/64	26/32	13/sixteen				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	xiv/16	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
lx/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/xvi	viii/eight	4/4	2/ii	1	25.four

What Is 3 X 1/6,

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