14 2/3 As A Fraction

Fraction Calculator

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields higher up 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 Calculator

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Decimal to Fraction Calculator

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Fraction to Decimal Estimator

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Big Number Fraction Calculator

Utilise 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 brand up said whole. For example, in the fraction of

, the numerator is three, and the denominator is eight. A more illustrative example could involve a pie with 8 slices. i of those 8 slices would constitute the numerator of a fraction, while the total of viii slices that comprises the whole pie would exist the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore exist

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

Add-on:

Unlike adding and subtracting integers such as ii and viii, 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 by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is sure to be a multiple of each individual denominator. The numerators likewise need to be multiplied past 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. Even so, in about cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an instance using this method.

This process tin can be used for whatsoever number of fractions. Just multiply the numerators and denominators of each fraction in the trouble past 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 determine the to the lowest degree mutual multiple (LCM) for the denominators, so add or subtract the numerators equally 1 would an integer. Using the least common multiple tin be more efficient and is more than likely to result in a fraction in simplified class. In the case in a higher place, the denominators were 4, vi, and 2. The least common multiple is the first shared multiple of these three numbers.

Multiples of 2: ii, 4, vi, 8 ten, 12

Multiples of 4: four, 8, 12

Multiples of 6: 6, 12

The first multiple they all share is 12, so this is the to the lowest degree 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, and so add together the numerators.

Subtraction:

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

Multiplication:

Multiplying fractions is fairly straightforward. Unlike adding and subtracting, it is non necessary to compute a common denominator in order to multiply fractions. Simply, the numerators and denominators of each fraction are multiplied, and the event forms a new numerator and denominator. If possible, the solution should be simplified. Refer to the equations below for description.

Division:

The procedure for dividing fractions is like to that for multiplying fractions. In gild 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 but

. 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 below for clarification.

Simplification:

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

for example, is more than cumbersome than

. The reckoner provided returns fraction inputs in both improper fraction course as well as mixed number class. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest mutual gene.

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, still, crave the understanding that each decimal place to the right of the decimal point represents a ability of 10; the start decimal place beingness 10¹, the 2d ten², the 3rd 10³, and so on. Just determine what ability of 10 the decimal extends to, apply that power of 10 as the denominator, enter each number to the correct of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 10⁴, or 10,000. This would brand the fraction

, which simplifies to

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

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

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

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

can be converted to 0.5. If the fraction were instead

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

Common Applied science Fraction to Decimal Conversions

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

64^th	32^nd	16^th	eight^th	four^thursday	two^nd	Decimal	Decimal (inch to mm)
i/64						0.015625	0.396875
ii/64	1/32					0.03125	0.79375
iii/64						0.046875	1.190625
4/64	two/32	ane/16				0.0625	one.5875
5/64						0.078125	1.984375
6/64	3/32					0.09375	2.38125
7/64						0.109375	2.778125
8/64	4/32	2/sixteen	1/8			0.125	3.175
ix/64						0.140625	iii.571875
x/64	5/32					0.15625	3.96875
11/64						0.171875	four.365625
12/64	6/32	three/16				0.1875	4.7625
13/64						0.203125	5.159375
14/64	7/32					0.21875	5.55625
15/64						0.234375	v.953125
16/64	8/32	four/xvi	two/viii	1/4		0.25	vi.35
17/64						0.265625	vi.746875
18/64	ix/32					0.28125	7.14375
nineteen/64						0.296875	7.540625
20/64	10/32	five/16				0.3125	7.9375
21/64						0.328125	eight.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	nine.128125
24/64	12/32	6/16	3/eight			0.375	9.525
25/64						0.390625	9.921875
26/64	13/32					0.40625	ten.31875
27/64						0.421875	x.715625
28/64	xiv/32	seven/xvi				0.4375	11.1125
29/64						0.453125	eleven.509375
xxx/64	15/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	8/16	4/eight	2/4	1/2	0.v	12.seven
33/64						0.515625	xiii.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	xiii.890625
36/64	xviii/32	ix/16				0.5625	14.2875
37/64						0.578125	14.684375
38/64	19/32					0.59375	15.08125
39/64						0.609375	15.478125
xl/64	20/32	10/xvi	v/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/xvi				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	12/16	6/8	3/4		0.75	19.05
49/64						0.765625	nineteen.446875
l/64	25/32					0.78125	19.84375
51/64						0.796875	20.240625
52/64	26/32	thirteen/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/viii			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	thirty/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	16/16	8/eight	4/iv	2/two	i	25.four