5/8 Divided By 1 1/3

Fraction Calculator

Beneath are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion betwixt fractions and decimals. Fields to a higher place the solid black line stand for the numerator, while fields below correspond the denominator.

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Mixed Numbers Calculator

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Simplify Fractions Calculator

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Decimal to Fraction Calculator

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Fraction to Decimal Calculator

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Big Number Fraction Figurer

Use this figurer 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 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 than illustrative example could involve a pie with viii slices. ane of those 8 slices would found 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. Note that the denominator of a fraction cannot be 0, as it would brand the fraction undefined. Fractions tin undergo many dissimilar operations, some of which are mentioned below.

Add-on:

Unlike calculation and subtracting integers such every bit 2 and 8, fractions require 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 certain to be a multiple of each private denominator. The numerators also demand to exist 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 take a common denominator. Yet, in most cases, the solutions to these equations will not announced in simplified grade (the provided reckoner computes the simplification automatically). Below is an example using this method.

This procedure tin can exist used for any number of fractions. Just multiply the numerators and denominators of each fraction in the trouble by the production of the denominators of all the other fractions (not including its ain respective denominator) in the problem.

An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, and so add together or subtract the numerators as 1 would an integer. Using the least common multiple can be more than efficient and is more likely to result in a fraction in simplified grade. In the example higher up, the denominators were 4, 6, and 2. The to the lowest degree common multiple is the beginning shared multiple of these three numbers.

Multiples of 2: 2, iv, 6, 8 10, 12

Multiples of four: four, 8, 12

Multiples of half dozen: six, 12

The offset multiple they all share is 12, so this is the to the lowest degree common multiple. To complete an add-on (or subtraction) problem, multiply the numerators and denominators of each fraction in the trouble past whatever value volition make the denominators 12, then add the numerators.

Subtraction:

Fraction subtraction is essentially the same as fraction add-on. A common denominator is required for the performance to occur. Refer to the improver section besides as the equations below for clarification.

Multiplication:

Multiplying fractions is adequately straightforward. Unlike adding and subtracting, it is non necessary to compute a common denominator in lodge 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.

Division:

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

. 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 instance, is more cumbersome than

. The calculator provided returns fraction inputs in both improper fraction form equally well as mixed number form. In both cases, fractions are presented in their lowest forms by 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 agreement that each decimal place to the right of the decimal point represents a ability of 10; the start decimal place being 10^one, the 2d 10², the third ten³, and and so on. Simply determine what power of 10 the decimal extends to, employ that power of ten as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For instance, looking at the number 0.1234, the number 4 is in the fourth decimal identify, which constitutes 10⁴, or 10,000. This would brand the fraction

, which simplifies to

, since the greatest common factor between the numerator and denominator is ii.

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

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

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

can be converted to 0.v. If the fraction were instead

, the decimal would and so be 0.05, and so on. Across this, converting fractions into decimals requires the performance of long sectionalisation.

Common Engineering Fraction to Decimal Conversions

In engineering, fractions are widely used to describe the size of components such equally pipes and bolts. The most common fractional and decimal equivalents are listed beneath.

64th	32nd	sixteenth	8th	4thursday	2nd	Decimal	Decimal (inch to mm)
i/64						0.015625	0.396875
2/64	1/32					0.03125	0.79375
three/64						0.046875	i.190625
4/64	2/32	ane/16				0.0625	1.5875
v/64						0.078125	one.984375
vi/64	3/32					0.09375	2.38125
7/64						0.109375	2.778125
eight/64	4/32	2/xvi	1/viii			0.125	3.175
9/64						0.140625	3.571875
ten/64	5/32					0.15625	3.96875
11/64						0.171875	4.365625
12/64	6/32	iii/16				0.1875	4.7625
13/64						0.203125	5.159375
14/64	vii/32					0.21875	5.55625
fifteen/64						0.234375	5.953125
16/64	8/32	iv/16	two/eight	1/4		0.25	vi.35
17/64						0.265625	6.746875
18/64	ix/32					0.28125	7.14375
xix/64						0.296875	seven.540625
xx/64	10/32	v/16				0.3125	vii.9375
21/64						0.328125	8.334375
22/64	11/32					0.34375	viii.73125
23/64						0.359375	9.128125
24/64	12/32	6/xvi	3/eight			0.375	nine.525
25/64						0.390625	9.921875
26/64	13/32					0.40625	ten.31875
27/64						0.421875	10.715625
28/64	fourteen/32	seven/16				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	8/sixteen	4/8	2/4	1/two	0.five	12.seven
33/64						0.515625	13.096875
34/64	17/32					0.53125	thirteen.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	19/32					0.59375	15.08125
39/64						0.609375	15.478125
40/64	20/32	x/16	v/eight			0.625	fifteen.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	18.25625
47/64						0.734375	18.653125
48/64	24/32	12/xvi	6/8	3/4		0.75	19.05
49/64						0.765625	19.446875
fifty/64	25/32					0.78125	19.84375
51/64						0.796875	twenty.240625
52/64	26/32	13/sixteen				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	7/eight			0.875	22.225
57/64						0.890625	22.621875
58/64	29/32					0.90625	23.01875
59/64						0.921875	23.415625
threescore/64	xxx/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	8/8	4/4	2/two	1	25.4

5/8 Divided By 1 1/3,

Source: https://www.calculator.net/fraction-calculator.html

Posted by: keithshou1999.blogspot.com

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