Below are multiple fractivity brianowens.tvs capable of addition, subtraction, multiplication, division, simplification, and also convariation in between fractions and also decimals. Fields over the solid babsence line reexisting the numerator, while areas below recurrent the denominator.

You are watching: 2^(5/2)

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Mixed Numbers brianowens.tv

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Simplify Fractions brianowens.tv

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Decimal to Fraction brianowens.tv

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Fraction to Decimal brianowens.tv

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Big Number Fraction brianowens.tv

Use this brianowens.tv if the numerators or denominators are exceptionally substantial integers.

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In mathematics, a portion is a number that represents a component of a totality. It consists of a numerator and also a denominator. The numerator represents the number of equal parts of a entirety, while the denominator is the complete number of components that consist of sassist whole. For example, in the fraction of
3
8
, the numerator is 3, and also the denominator is 8. A more illustrative instance can involve a pie with 8 slices. 1 of those 8 slices would certainly constitute the numerator of a portion, while the total of 8 slices that comprises the entirety pie would certainly be the denominator. If a perchild were to eat 3 slices, the remaining fractivity of the pie would certainly therefore be
5
8
as shown in the image to the ideal. Note that the denominator of a portion cannot be 0, as it would certainly make the fractivity unidentified. Fractions have the right to undergo many type of different operations, some of which are mentioned below.

Addition:

Unfavor including and subtracting integers such as 2 and also 8, fractions call for a prevalent denominator to undergo these operations. One technique for finding a common denominator requires multiplying the numerators and denominators of every one of the fractions involved by the product of the denominators of each fractivity. Multiplying all of the denominators ensures that the brand-new denominator is certain to be a multiple of each individual denominator. The numerators also should be multiplied by the proper factors to preserve the worth of the fractivity as a whole. This is arguably the simplest means to ensure that the fractions have actually a common denominator. However before, in a lot of instances, the remedies to these equations will not show up in simplified develop (the provided brianowens.tv computes the simplification automatically). Below is an example utilizing this technique.

a
b
+ c
d
= a×d
b×d
+ c×b
d×b
= ad + bc
bd
EX: 3
4
+ 1
6
= 3×6
4×6
+ 1×4
6×4
= 22
24
= 11
12

This procedure can be provided for any kind of variety of fractions. Just multiply the numerators and denominators of each fractivity in the difficulty by the product of the denominators of all the various other fractions (not including its own corresponding denominator) in the problem.

EX: 1
4
+ 1
6
+ 1
2
= 1×6×2
4×6×2
+ 1×4×2
6×4×2
+ 1×4×6
2×4×6
=12
48
+ 8
48
+ 24
48
= 44
48
= 11
12

An alternative method for finding a common denominator is to recognize the least widespread multiple (LCM) for the denominators, then include or subtract the numerators as one would an integer. Using the least widespread multiple have the right to be more effective and also is even more likely to cause a portion in simplified develop. In the example above, the denominators were 4, 6, and also 2. The leastern common multiple is the initially mutual multiple of these 3 numbers.

Multiples of 2: 2, 4, 6, 8 10, 12
Multiples of 4: 4, 8, 12
Multiples of 6: 6, 12

The initially multiple they all share is 12, so this is the least common multiple. To complete an enhancement (or subtraction) difficulty, multiply the numerators and also denominators of each fraction in the difficulty by whatever before value will certainly make the denominators 12, then add the numerators.

EX: 1
4
+ 1
6
+ 1
2
= 1×3
4×3
+ 1×2
6×2
+ 1×6
2×6
=3
12
+ 2
12
+ 6
12
= 11
12

Subtraction:

Fractivity subtractivity is basically the same as fraction enhancement. A prevalent denominator is forced for the procedure to take place. Refer to the enhancement section as well as the equations listed below for clarification.

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a
b
– c
d
= a×d
b×d
– c×b
d×b
= ad – bc
bd
EX: 3
4
– 1
6
= 3×6
4×6
– 1×4
6×4
= 14
24
= 7
12

Multiplication:

Multiplying fractions is fairly straightforward. Unlike including and also subtracting, it is not necessary to compute a prevalent denominator in order to multiply fractions. Simply, the numerators and denominators of each fraction are multiplied, and the result forms a brand-new numerator and also denominator. If possible, the solution must be simplified. Refer to the equations listed below for clarification.

a
b
× c
d
= ac
bd
EX: 3
4
× 1
6
= 3
24
= 1
8

Division:

The procedure for separating fractions is similar to that for multiplying fractions. In order to divide fractions, the fractivity in the numerator is multiplied by the reciprocal of the fractivity in the denominator. The reciprocal of a number a is ssuggest
1
a
. When a is a fraction, this essentially requires extransforming the place of the numerator and also the denominator. The reciprocal of the fractivity
3
4
would therefore be
4
3
. Refer to the equations listed below for clarification.

a
b
/ c
d
= a
b
× d
c
= ad
bc
EX: 3
4
/ 1
6
= 3
4
× 6
1
= 18
4
= 9
2

Simplification:

It is frequently less complicated to occupational via streamlined fractions. Therefore, fractivity remedies are commonly expressed in their streamlined forms.
220
440
for instance, is even more cumbersome than
1
2
. The brianowens.tv offered retransforms fractivity inputs in both imappropriate fraction develop and also mixed number develop. In both cases, fractions are presented in their lowest creates by separating both numerator and denominator by their best widespread variable.

Converting between fractions and also decimals:

Converting from decimals to fractions is straightforward. It does, but, require the expertise that each decimal area to the right of the decimal suggest represents a power of 10; the first decimal area being 101, the second 102, the third 103, and also so on. Simply identify what power of 10 the decimal exhas a tendency to, usage that power of 10 as the denominator, enter each number to the best of the decimal allude 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 certainly make the fractivity
1234
10000
, which simplifies to
617
5000
, given that the best prevalent element in between the numerator and denominator is 2.

Similarly, fractions with denominators that are powers of 10 (or have the right to be converted to powers of 10) can be analyzed to decimal create utilizing the same ethics. Take the fraction
1
2
for example. To convert this fraction into a decimal, initially convert it into the fractivity of
5
10
. Knowing that the first decimal location represents 10-1,
5
10
have the right to be converted to 0.5. If the fractivity were instead
5
100
, the decimal would then be 0.05, and so on. Beyond this, converting fractions into decimals calls for the procedure of long division.

Usual Engineering Fraction to Decimal Conversions

In engineering, fractions are commonly provided to define the dimension of components such as pipes and also bolts. The the majority of prevalent fractional and decimal equivalents are listed listed below.

64th32nd16th8th4th2ndDecimalDecimal(inch to mm)
1/640.0156250.396875
2/641/320.031250.79375
3/640.0468751.190625
4/642/321/160.06251.5875
5/640.0781251.984375
6/643/320.093752.38125
7/640.1093752.778125
8/644/322/161/80.1253.175
9/640.1406253.571875
10/645/320.156253.96875
11/640.1718754.365625
12/646/323/160.18754.7625
13/640.2031255.159375
14/647/320.218755.55625
15/640.2343755.953125
16/648/324/162/81/40.256.35
17/640.2656256.746875
18/649/320.281257.14375
19/640.2968757.540625
20/6410/325/160.31257.9375
21/640.3281258.334375
22/6411/320.343758.73125
23/640.3593759.128125
24/6412/326/163/80.3759.525
25/640.3906259.921875
26/6413/320.4062510.31875
27/640.42187510.715625
28/6414/327/160.437511.1125
29/640.45312511.509375
30/6415/320.4687511.90625
31/640.48437512.303125
32/6416/328/164/82/41/20.512.7
33/640.51562513.096875
34/6417/320.5312513.49375
35/640.54687513.890625
36/6418/329/160.562514.2875
37/640.57812514.684375
38/6419/320.5937515.08125
39/640.60937515.478125
40/6420/3210/165/80.62515.875
41/640.64062516.271875
42/6421/320.6562516.66875
43/640.67187517.065625
44/6422/3211/160.687517.4625
45/640.70312517.859375
46/6423/320.7187518.25625
47/640.73437518.653125
48/6424/3212/166/83/40.7519.05
49/640.76562519.446875
50/6425/320.7812519.84375
51/640.79687520.240625
52/6426/3213/160.812520.6375
53/640.82812521.034375
54/6427/320.8437521.43125
55/640.85937521.828125
56/6428/3214/167/80.87522.225
57/640.89062522.621875
58/6429/320.9062523.01875
59/640.92187523.415625
60/6430/3215/160.937523.8125
61/640.95312524.209375
62/6431/320.9687524.60625
63/640.98437525.003125
64/6432/3216/168/84/42/2125.4