11 100 As A Fraction

Fraction Calculator

Below are multiple fraction calculators capable of addition, 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 Calculator

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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 Figurer

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 total number of parts that make up said whole. For example, in the fraction of

, the numerator is three, and the denominator is eight. A more than illustrative example could involve a pie with 8 slices. i of those 8 slices would plant 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. Note that the denominator of a fraction cannot exist 0, as it would brand the fraction undefined. Fractions can undergo many different operations, some of which are mentioned beneath.

Addition:

Unlike calculation and subtracting integers such as 2 and eight, fractions crave a mutual denominator to undergo these operations. One method for finding a common 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 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. Nevertheless, in well-nigh cases, the solutions to these equations volition not announced in simplified class (the provided reckoner computes the simplification automatically). Below is an example using this method.

This process can exist 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 decide the least mutual multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple can exist more efficient and is more than likely to issue in a fraction in simplified class. In the example above, the denominators were 4, 6, and 2. The least mutual multiple is the first shared multiple of these three numbers.

Multiples of 2: two, 4, 6, 8 ten, 12

Multiples of 4: 4, viii, 12

Multiples of half-dozen: 6, 12

The starting time multiple they all share is 12, then this is the least mutual multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by any value will make the denominators 12, then add together 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 department equally well as the equations below for description.

Multiplication:

Multiplying fractions is adequately straightforward. Unlike 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 effect forms a new numerator and denominator. If possible, the solution should be simplified. Refer to the equations beneath for clarification.

Partitioning:

The procedure for dividing fractions is similar to that for multiplying fractions. In order to separate fractions, the fraction in the numerator is multiplied past the reciprocal of the fraction in the denominator. The reciprocal of a number a is only

. 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 clarification.

Simplification:

It is often 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 calculator provided returns fraction inputs in both improper fraction form as well as mixed number form. In both cases, fractions are presented in their everyman forms by dividing both numerator and denominator by their greatest common cistron.

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 bespeak represents a power of 10; the first decimal identify being 10^ane, the 2nd 10², the third 10³, and so on. Simply make up one's mind what ability of 10 the decimal extends to, utilize that power of 10 every bit the denominator, enter each number to the right of the decimal point equally the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes ten⁴, or 10,000. This would make the fraction

, which simplifies to

, since the greatest common cistron between the numerator and denominator is two.

Similarly, fractions with denominators that are powers of x (or can be converted to powers of ten) can exist translated to decimal form using the aforementioned principles. Take the fraction

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

. Knowing that the first decimal identify represents x^-1,

can be converted to 0.5. If the fraction were instead

, the decimal would then be 0.05, and and then on. Across this, converting fractions into decimals requires the operation of long division.

Common Engineering Fraction to Decimal Conversions

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

64^thursday	32^nd	16^th	8^th	4^th	ii^nd	Decimal	Decimal (inch to mm)
one/64						0.015625	0.396875
two/64	one/32					0.03125	0.79375
3/64						0.046875	1.190625
4/64	two/32	1/sixteen				0.0625	1.5875
5/64						0.078125	1.984375
6/64	iii/32					0.09375	2.38125
7/64						0.109375	2.778125
8/64	4/32	2/16	1/8			0.125	three.175
nine/64						0.140625	three.571875
ten/64	five/32					0.15625	3.96875
11/64						0.171875	4.365625
12/64	6/32	3/16				0.1875	iv.7625
xiii/64						0.203125	5.159375
14/64	7/32					0.21875	five.55625
15/64						0.234375	5.953125
xvi/64	8/32	4/16	2/eight	ane/4		0.25	6.35
17/64						0.265625	6.746875
18/64	ix/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	nine.128125
24/64	12/32	6/16	three/8			0.375	9.525
25/64						0.390625	9.921875
26/64	thirteen/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	eleven.509375
30/64	fifteen/32					0.46875	xi.90625
31/64						0.484375	12.303125
32/64	xvi/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	13.49375
35/64						0.546875	13.890625
36/64	18/32	ix/sixteen				0.5625	fourteen.2875
37/64						0.578125	fourteen.684375
38/64	19/32					0.59375	15.08125
39/64						0.609375	15.478125
xl/64	20/32	10/16	5/8			0.625	15.875
41/64						0.640625	16.271875
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	xviii.25625
47/64						0.734375	18.653125
48/64	24/32	12/sixteen	6/eight	3/4		0.75	19.05
49/64						0.765625	nineteen.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	xiv/sixteen	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
60/64	30/32	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/xvi	8/8	iv/4	2/2	1	25.four