16 1/3 As A Fraction

Fraction Estimator

Beneath are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion betwixt fractions and decimals. Fields in a higher place the solid black line represent the numerator, while fields below correspond the denominator.

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Mixed Numbers Calculator

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Simplify Fractions Estimator

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

, the numerator is 3, and the denominator is 8. A more illustrative example could involve a pie with eight slices. i of those eight slices would establish the numerator of a fraction, while the total of 8 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 it would make the fraction undefined. Fractions tin undergo many dissimilar operations, some of which are mentioned below.

Addition:

Different adding and subtracting integers such as 2 and viii, fractions require a mutual denominator to undergo these operations. I 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 exist a multiple of each individual denominator. The numerators too need to be multiplied past 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 accept a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.

This procedure tin be used for whatever number of fractions. Just 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 problem.

An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, and so add or subtract the numerators as 1 would an integer. Using the least common multiple tin exist more than efficient and is more likely to result in a fraction in simplified form. In the instance in a higher place, the denominators were iv, 6, and 2. The to the lowest degree common multiple is the first shared multiple of these three numbers.

Multiples of 2: two, four, six, eight 10, 12

Multiples of 4: four, 8, 12

Multiples of half-dozen: 6, 12

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

Subtraction:

Fraction subtraction is substantially the same as fraction improver. A common denominator is required for the functioning to occur. Refer to the addition section also equally the equations below for clarification.

Multiplication:

Multiplying fractions is adequately straightforward. Dissimilar adding and subtracting, it is not necessary to compute a common denominator in order 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 beneath for clarification.

Division:

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. Every bit such, fraction solutions are usually expressed in their simplified forms.

for example, is more cumbersome than

. The calculator provided returns fraction inputs in both improper fraction grade as well every bit mixed number form. In both cases, fractions are presented in their everyman forms by dividing both numerator and denominator by their greatest common factor.

Converting betwixt fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the right of the decimal point represents a power of ten; the first decimal place being 10¹, the second 10², the tertiary x³, and so on. Simply determine what ability of 10 the decimal extends to, use that power of 10 equally the denominator, enter each number to the right of the decimal indicate every bit the numerator, and simplify. For case, looking at the number 0.1234, the number four is in the fourth decimal place, which constitutes x^four, or 10,000. This would brand 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 10 (or can be converted to powers of x) can be translated to decimal form using the same principles. Accept the fraction

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

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

can exist converted to 0.5. If the fraction were instead

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

Mutual Engineering Fraction to Decimal Conversions

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

64^th	32^nd	16^thursday	8^th	iv^th	2^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
two/64	1/32					0.03125	0.79375
3/64						0.046875	ane.190625
iv/64	2/32	i/16				0.0625	1.5875
v/64						0.078125	one.984375
6/64	3/32					0.09375	ii.38125
7/64						0.109375	two.778125
8/64	4/32	2/16	i/eight			0.125	3.175
ix/64						0.140625	3.571875
10/64	5/32					0.15625	3.96875
xi/64						0.171875	4.365625
12/64	6/32	3/sixteen				0.1875	4.7625
13/64						0.203125	5.159375
14/64	7/32					0.21875	v.55625
xv/64						0.234375	v.953125
xvi/64	8/32	4/16	2/8	ane/iv		0.25	6.35
17/64						0.265625	6.746875
18/64	9/32					0.28125	7.14375
19/64						0.296875	7.540625
20/64	10/32	five/16				0.3125	7.9375
21/64						0.328125	8.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	9.128125
24/64	12/32	6/xvi	iii/8			0.375	nine.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/16				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	16/32	8/16	four/eight	two/4	1/ii	0.5	12.7
33/64						0.515625	13.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	13.890625
36/64	eighteen/32	ix/16				0.5625	fourteen.2875
37/64						0.578125	fourteen.684375
38/64	19/32					0.59375	xv.08125
39/64						0.609375	xv.478125
forty/64	xx/32	10/16	five/eight			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	xviii.25625
47/64						0.734375	xviii.653125
48/64	24/32	12/16	half dozen/8	3/iv		0.75	xix.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	thirteen/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	xiv/16	7/eight			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	thirty/32	15/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	xvi/sixteen	eight/8	iv/four	2/two	1	25.4