4 Divided By 2 2/3

Fraction Figurer

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

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Mixed Numbers Calculator

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Simplify Fractions Computer

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Decimal to Fraction Calculator

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Fraction to Decimal Calculator

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Big Number Fraction Calculator

Use this computer 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 total number of parts that make up said whole. For case, in the fraction of

, the numerator is 3, and the denominator is viii. A more illustrative instance could involve a pie with 8 slices. i of those 8 slices would constitute the numerator of a fraction, while the total of eight 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 exist

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

Addition:

Different adding and subtracting integers such equally 2 and viii, 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 past 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 private denominator. The numerators likewise need 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 accept a common denominator. Withal, in most cases, the solutions to these equations will not announced in simplified form (the provided estimator computes the simplification automatically). Below is an example using this method.

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

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

Multiples of two: 2, 4, six, eight x, 12

Multiples of 4: 4, 8, 12

Multiples of half-dozen: vi, 12

The first 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 past whatever value will make the denominators 12, then add the numerators.

Subtraction:

Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation to occur. Refer to the addition section equally well as the equations below for clarification.

Multiplication:

Multiplying fractions is fairly 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 result forms a new numerator and denominator. If possible, the solution should be simplified. Refer to the equations below for clarification.

Division:

The process for dividing fractions is similar to that for multiplying fractions. In order to dissever 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 oft easier to work with simplified fractions. As such, fraction solutions are usually expressed in their simplified forms.

for example, is more than cumbersome than

. The reckoner provided returns fraction inputs in both improper fraction form equally well as mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest common factor.

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, require the agreement that each decimal place to the right of the decimal indicate represents a power of 10; the first decimal place being 10^one, the 2nd 10², the third ten³, and so on. Simply decide what power of 10 the decimal extends to, employ that power of 10 every bit the denominator, enter each number to the right of the decimal signal as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 10^four, 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 ten) can be translated to decimal form using the same principles. Have the fraction

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

. Knowing that the first decimal identify represents 10^-ane,

can be 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 functioning of long partitioning.

Mutual Engineering science Fraction to Decimal Conversions

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

64^th	32^nd	16^th	8^th	4^th	2^nd	Decimal	Decimal (inch to mm)
ane/64						0.015625	0.396875
2/64	ane/32					0.03125	0.79375
three/64						0.046875	1.190625
4/64	2/32	1/xvi				0.0625	ane.5875
five/64						0.078125	1.984375
vi/64	3/32					0.09375	2.38125
7/64						0.109375	2.778125
viii/64	iv/32	ii/sixteen	1/eight			0.125	three.175
9/64						0.140625	3.571875
10/64	5/32					0.15625	3.96875
11/64						0.171875	iv.365625
12/64	six/32	iii/16				0.1875	4.7625
13/64						0.203125	five.159375
xiv/64	7/32					0.21875	five.55625
15/64						0.234375	5.953125
16/64	8/32	4/16	2/eight	1/4		0.25	6.35
17/64						0.265625	6.746875
18/64	ix/32					0.28125	7.14375
xix/64						0.296875	7.540625
20/64	10/32	five/xvi				0.3125	seven.9375
21/64						0.328125	8.334375
22/64	eleven/32					0.34375	8.73125
23/64						0.359375	nine.128125
24/64	12/32	half-dozen/16	3/8			0.375	9.525
25/64						0.390625	9.921875
26/64	13/32					0.40625	ten.31875
27/64						0.421875	10.715625
28/64	14/32	7/16				0.4375	eleven.1125
29/64						0.453125	11.509375
30/64	xv/32					0.46875	xi.90625
31/64						0.484375	12.303125
32/64	16/32	8/16	four/8	2/4	1/ii	0.5	12.7
33/64						0.515625	thirteen.096875
34/64	17/32					0.53125	thirteen.49375
35/64						0.546875	13.890625
36/64	xviii/32	nine/16				0.5625	fourteen.2875
37/64						0.578125	fourteen.684375
38/64	19/32					0.59375	fifteen.08125
39/64						0.609375	15.478125
40/64	xx/32	ten/16	v/8			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	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/sixteen	6/eight	3/4		0.75	19.05
49/64						0.765625	19.446875
50/64	25/32					0.78125	19.84375
51/64						0.796875	20.240625
52/64	26/32	13/16				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	14/xvi	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	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/sixteen	8/viii	iv/4	ii/2	i	25.4