Whats 3 As A Fraction

Fraction Reckoner

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

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Mixed Numbers Estimator

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Simplify Fractions Figurer

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Decimal to Fraction Calculator

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Fraction to Decimal Reckoner

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Large Number Fraction Calculator

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. 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 example, in the fraction of

, the numerator is 3, and the denominator is 8. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute 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 consume 3 slices, the remaining fraction of the pie would therefore exist

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

Add-on:

Unlike adding and subtracting integers such as 2 and 8, fractions require a mutual denominator to undergo these operations. Ane 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 sure to exist a multiple of each individual denominator. The numerators also need to exist 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 mutual denominator. However, in near cases, the solutions to these equations will not appear in simplified form (the provided estimator computes the simplification automatically). Below is an example using this method.

This procedure can be used for any 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 (non including its ain respective denominator) in the problem.

An culling method for finding a mutual denominator is to make up one's mind the least common multiple (LCM) for the denominators, then add or subtract the numerators as ane would an integer. Using the least common multiple can be more efficient and is more probable to event in a fraction in simplified form. In the instance above, the denominators were 4, 6, and ii. The least common multiple is the first shared multiple of these three numbers.

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

Multiples of four: 4, 8, 12

Multiples of 6: 6, 12

The kickoff multiple they all share is 12, and then this is the to the lowest degree common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatever value will make the denominators 12, then add the numerators.

Subtraction:

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

Multiplication:

Multiplying fractions is fairly straightforward. Dissimilar calculation and subtracting, information technology is not necessary to compute a common denominator in order to multiply fractions. Merely, 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.

Partitioning:

The process for dividing fractions is like to that for multiplying fractions. In guild to divide fractions, the fraction in the numerator is multiplied past 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:

It is often easier to work with simplified fractions. Every bit such, fraction solutions are normally expressed in their simplified forms.

for example, is more cumbersome than

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

Converting betwixt fractions and decimals:

Converting from decimals to fractions is straightforward. Information technology does, however, crave the understanding that each decimal place to the right of the decimal point represents a ability of 10; the first decimal place existence 10¹, the second x², the third x³, and and so on. Simply determine what power of 10 the decimal extends to, utilize that ability of 10 as the denominator, enter each number to the correct of the decimal betoken as the numerator, and simplify. For instance, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes ten^four, or 10,000. This would brand the fraction

, which simplifies to

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

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

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

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

can exist 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 operation of long division.

Mutual Technology Fraction to Decimal Conversions

In applied science, fractions are widely used to describe the size of components such as pipes and bolts. The most common partial and decimal equivalents are listed beneath.

64^th	32^nd	xvi^th	8^th	four^thursday	ii^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
2/64	ane/32					0.03125	0.79375
3/64						0.046875	1.190625
iv/64	two/32	1/xvi				0.0625	1.5875
v/64						0.078125	ane.984375
half dozen/64	3/32					0.09375	2.38125
7/64						0.109375	two.778125
viii/64	4/32	2/sixteen	1/8			0.125	iii.175
ix/64						0.140625	3.571875
10/64	5/32					0.15625	3.96875
11/64						0.171875	4.365625
12/64	6/32	3/16				0.1875	4.7625
13/64						0.203125	v.159375
xiv/64	7/32					0.21875	5.55625
fifteen/64						0.234375	v.953125
xvi/64	8/32	iv/sixteen	2/8	ane/four		0.25	half dozen.35
17/64						0.265625	6.746875
18/64	nine/32					0.28125	7.14375
xix/64						0.296875	seven.540625
20/64	10/32	v/16				0.3125	vii.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	3/viii			0.375	9.525
25/64						0.390625	9.921875
26/64	13/32					0.40625	x.31875
27/64						0.421875	10.715625
28/64	fourteen/32	vii/sixteen				0.4375	11.1125
29/64						0.453125	11.509375
xxx/64	15/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	eight/16	4/viii	2/four	ane/two	0.v	12.7
33/64						0.515625	13.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	13.890625
36/64	18/32	9/16				0.5625	14.2875
37/64						0.578125	xiv.684375
38/64	xix/32					0.59375	15.08125
39/64						0.609375	15.478125
forty/64	20/32	x/16	5/8			0.625	15.875
41/64						0.640625	sixteen.271875
42/64	21/32					0.65625	xvi.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	eighteen.653125
48/64	24/32	12/sixteen	6/eight	iii/iv		0.75	xix.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/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
lx/64	30/32	fifteen/sixteen				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	4/4	two/2	one	25.iv