What Is 2 3 8

Fraction Calculator

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

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Mixed Numbers Figurer

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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 Estimator

Utilize 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 role 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 8. A more illustrative case could involve a pie with 8 slices. ane of those viii slices would plant the numerator of a fraction, while the full of eight slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore exist

every bit shown in the image to the right. Annotation that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.

Addition:

Unlike calculation and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. 1 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 be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate 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. Notwithstanding, in most 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 be used for any number of fractions. But 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 corresponding denominator) in the problem.

An alternative method for finding a mutual denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators every bit 1 would an integer. Using the least mutual multiple can be more efficient and is more likely to result in a fraction in simplified form. In the example above, the denominators were 4, 6, and 2. The least mutual multiple is the first shared multiple of these iii numbers.

Multiples of two: 2, 4, 6, eight ten, 12

Multiples of four: 4, 8, 12

Multiples of 6: half dozen, 12

The first 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, so add the numerators.

Subtraction:

Fraction subtraction is essentially the aforementioned as fraction add-on. 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 fairly straightforward. Different adding and subtracting, information technology is not necessary to compute a common denominator in club to multiply fractions. Only, 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 description.

Sectionalization:

The process for dividing fractions is similar to that for multiplying fractions. In order to carve up fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number a is merely

. 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 ofttimes easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.

for case, is more cumbersome than

. The computer provided returns fraction inputs in both improper fraction form as well as mixed number form. 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 identify to the correct of the decimal point represents a power of 10; the first decimal identify existence ten^ane, the second ten², the tertiary 10^three, and and then on. Simply make up one's mind what power of x the decimal extends to, utilize that power of ten equally 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 four is in the fourth decimal place, which constitutes 10^four, or x,000. This would make the fraction

, which simplifies to

, since the greatest mutual cistron between the numerator and denominator is 2.

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

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

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

can exist converted to 0.5. If the fraction were instead

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

Common Engineering science Fraction to Decimal Conversions

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

64^thursday	32^nd	xvi^th	8^th	4^th	2^nd	Decimal	Decimal (inch to mm)
one/64						0.015625	0.396875
2/64	1/32					0.03125	0.79375
3/64						0.046875	1.190625
4/64	2/32	1/16				0.0625	one.5875
five/64						0.078125	1.984375
half dozen/64	3/32					0.09375	ii.38125
7/64						0.109375	ii.778125
eight/64	four/32	2/16	1/8			0.125	3.175
ix/64						0.140625	three.571875
10/64	v/32					0.15625	3.96875
11/64						0.171875	iv.365625
12/64	6/32	3/16				0.1875	4.7625
13/64						0.203125	5.159375
14/64	7/32					0.21875	5.55625
15/64						0.234375	five.953125
16/64	8/32	iv/xvi	2/eight	i/4		0.25	6.35
17/64						0.265625	6.746875
18/64	9/32					0.28125	7.14375
19/64						0.296875	vii.540625
twenty/64	10/32	5/16				0.3125	7.9375
21/64						0.328125	8.334375
22/64	11/32					0.34375	viii.73125
23/64						0.359375	ix.128125
24/64	12/32	vi/16	3/8			0.375	9.525
25/64						0.390625	nine.921875
26/64	13/32					0.40625	ten.31875
27/64						0.421875	10.715625
28/64	14/32	7/sixteen				0.4375	eleven.1125
29/64						0.453125	xi.509375
30/64	15/32					0.46875	eleven.90625
31/64						0.484375	12.303125
32/64	16/32	8/xvi	4/eight	2/4	1/two	0.5	12.7
33/64						0.515625	thirteen.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	13.890625
36/64	eighteen/32	nine/16				0.5625	fourteen.2875
37/64						0.578125	fourteen.684375
38/64	xix/32					0.59375	15.08125
39/64						0.609375	15.478125
40/64	20/32	10/xvi	v/viii			0.625	fifteen.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	11/xvi				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	12/16	6/8	3/4		0.75	19.05
49/64						0.765625	19.446875
l/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	14/16	vii/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	xxx/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	16/16	8/8	iv/4	2/ii	1	25.iv

What Is 2 3 8,

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