1/16 + 1/16 In Fraction

Fraction Calculator

Beneath are multiple fraction calculators capable of improver, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line stand for the numerator, while fields beneath represent 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 Reckoner

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Big Number Fraction Calculator

Use 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. It 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 make up said whole. For example, in the fraction of

, the numerator is 3, and the denominator is 8. A more than illustrative case could involve a pie with viii slices. 1 of those 8 slices would constitute the numerator of a fraction, while the full of 8 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 be

equally 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 can undergo many different operations, some of which are mentioned below.

Addition:

Different adding and subtracting integers such as 2 and 8, 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 past the production of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each private denominator. The numerators also demand to be multiplied by the advisable factors to preserve the value of the fraction equally a whole. This is arguably the simplest fashion to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified class (the provided calculator computes the simplification automatically). Below is an example using this method.

This process tin be used for any number of fractions. Just multiply the numerators and denominators of each fraction in the problem past the production 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 make up one's mind the least common multiple (LCM) for the denominators, and then add or subtract the numerators every bit i would an integer. Using the to the lowest degree common multiple tin be more efficient and is more than likely to consequence in a fraction in simplified course. In the example above, the denominators were 4, six, and 2. The to the lowest degree common multiple is the start shared multiple of these three numbers.

Multiples of two: 2, 4, half dozen, 8 10, 12

Multiples of iv: iv, eight, 12

Multiples of half-dozen: vi, 12

The first multiple they all share is 12, and so this is the least common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the trouble 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 beneath for description.

Multiplication:

Multiplying fractions is adequately straightforward. Unlike adding and subtracting, information technology 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.

Partition:

The procedure 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 only

. 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 beneath for clarification.

Simplification:

It is frequently 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 class. In both cases, fractions are presented in their lowest forms past 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 understanding that each decimal place to the correct of the decimal signal represents a ability of 10; the kickoff decimal place being 10¹, the second 10^two, the third 10ⁱⁱⁱ, and and so on. Simply determine what power of 10 the decimal extends to, use that ability of x as 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 identify, which constitutes ten⁴, or 10,000. 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 10) can exist translated to decimal class using the same principles. Take the fraction

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

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

can be converted to 0.5. If the fraction were instead

, the decimal would then exist 0.05, so on. Across this, converting fractions into decimals requires the operation of long sectionalization.

Common Applied science Fraction to Decimal Conversions

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

64^th	32^nd	16^thursday	8^th	4^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	1.190625
4/64	2/32	1/16				0.0625	one.5875
5/64						0.078125	1.984375
half dozen/64	3/32					0.09375	ii.38125
7/64						0.109375	2.778125
8/64	iv/32	2/16	1/8			0.125	iii.175
9/64						0.140625	3.571875
ten/64	v/32					0.15625	iii.96875
11/64						0.171875	4.365625
12/64	6/32	iii/sixteen				0.1875	4.7625
thirteen/64						0.203125	5.159375
xiv/64	7/32					0.21875	5.55625
xv/64						0.234375	5.953125
xvi/64	8/32	4/16	two/viii	1/iv		0.25	half-dozen.35
17/64						0.265625	6.746875
18/64	9/32					0.28125	7.14375
nineteen/64						0.296875	vii.540625
20/64	10/32	5/16				0.3125	7.9375
21/64						0.328125	8.334375
22/64	xi/32					0.34375	8.73125
23/64						0.359375	9.128125
24/64	12/32	6/16	3/8			0.375	nine.525
25/64						0.390625	ix.921875
26/64	13/32					0.40625	10.31875
27/64						0.421875	ten.715625
28/64	fourteen/32	7/sixteen				0.4375	11.1125
29/64						0.453125	xi.509375
xxx/64	15/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	eight/xvi	4/viii	ii/four	1/2	0.v	12.7
33/64						0.515625	thirteen.096875
34/64	17/32					0.53125	xiii.49375
35/64						0.546875	13.890625
36/64	eighteen/32	9/16				0.5625	14.2875
37/64						0.578125	14.684375
38/64	19/32					0.59375	15.08125
39/64						0.609375	xv.478125
twoscore/64	20/32	x/16	5/viii			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	xi/16				0.6875	17.4625
45/64						0.703125	17.859375
46/64	23/32					0.71875	eighteen.25625
47/64						0.734375	18.653125
48/64	24/32	12/16	half dozen/eight	three/4		0.75	19.05
49/64						0.765625	xix.446875
fifty/64	25/32					0.78125	nineteen.84375
51/64						0.796875	20.240625
52/64	26/32	13/16				0.8125	xx.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	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	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/xvi	viii/viii	four/4	2/2	1	25.4