Below are multiple fractivity couchsurfingcook.coms qualified of addition, subtraction, multiplication, division, simplification, and also convariation between fractions and decimals. Fields above the solid black line reexisting the numerator, while fields listed below represent the denominator.

You are watching: What is 3 4 of 8

+ - x / = ?
?

Mixed Numbers couchsurfingcook.com

+ - x / = ?

Simplify Fractions couchsurfingcook.com

=?

Decimal to Fractivity couchsurfingcook.com

=?
?

Fractivity to Decimal couchsurfingcook.com

= ?

Big Number Fractivity couchsurfingcook.com

Use this couchsurfingcook.com if the numerators or denominators are exceptionally big integers.

+ - x / = ?
*

In mathematics, a fraction is a number that represents a component of a totality. It is composed of a numerator and a denominator. The numerator represents the number of equal components of a whole, while the denominator is the complete number of parts that consist of said totality. For instance, in the fractivity of
3
8
, the numerator is 3, and also the denominator is 8. An even more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a portion, while the complete of 8 slices that comprises the whole pie would be the denominator. If a perboy were to eat 3 slices, the continuing to be fractivity of the pie would certainly therefore be
5
8
as shown in the picture to the appropriate. Note that the denominator of a fraction cannot be 0, as it would certainly make the fractivity unidentified. Fractions can undergo many type of different operations, some of which are stated below.

Addition:

Unfavor adding and also subtracting integers such as 2 and also 8, fractions need a widespread denominator to undergo these operations. One strategy for finding a prevalent denominator involves multiplying the numerators and also denominators of every one of the fractions associated by the product of the denominators of each fraction. Multiplying every one of the denominators ensures that the new denominator is specific to be a multiple of each individual denominator. The numerators also should be multiplied by the proper factors to keep the worth of the fractivity overall. This is arguably the simplest way to encertain that the fractions have actually a common denominator. However, in the majority of situations, the remedies to these equations will certainly not appear in streamlined create (the gave couchsurfingcook.com computes the simplification automatically). Below is an example making use of this strategy.

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 process deserve to be offered for any number of fractions. Just multiply the numerators and also denominators of each fractivity in the problem by the product of the denominators of all the various other fractions (not consisting of its very own particular denominator) in the trouble.

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 alternate strategy for finding a widespread denominator is to identify the least prevalent multiple (LCM) for the denominators, then include or subtract the numerators as one would certainly an integer. Using the leastern widespread multiple deserve to be even more effective and also is more likely to result in a fraction in streamlined form. In the instance over, the denominators were 4, 6, and also 2. The leastern common multiple is the first 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 leastern common multiple. To complete an enhancement (or subtraction) difficulty, multiply the numerators and denominators of each fractivity in the trouble by whatever worth will make the denominators 12, then include 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:

Fraction subtractivity is essentially the very same as fraction enhancement. A widespread denominator is forced for the operation to take place. Refer to the enhancement section and the equations below for clarification.

See more: Dreamworks" How To Train Your Dragon Arena Spectacular, How To Train Your Dragon Arena Spectacular

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. Unprefer adding and also subtracting, it is not vital to compute a widespread denominator in order to multiply fractions. Simply, the numerators and also denominators of each fraction are multiplied, and the outcome creates a brand-new numerator and denominator. If possible, the solution have to 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 process for dividing fractions is comparable 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 sindicate
1
a
. When a is a fraction, this basically entails extransforming the place of the numerator and also the denominator. The reciprocal of the fractivity
3
4
would certainly therefore be
4
3
. Refer to the equations 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 often easier to occupational through simplified fractions. Therefore, fractivity options are generally expressed in their simplified creates.
220
440
for instance, is more cumbersome than
1
2
. The couchsurfingcook.com provided retransforms fraction inputs in both improper fraction develop and also blended number create. In both instances, fractions are presented in their lowest develops by dividing both numerator and also denominator by their biggest common aspect.

Converting in between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, but, need the understanding that each decimal area to the ideal of the decimal suggest represents a power of 10; the initially decimal area being 101, the second 102, the third 103, and so on. Simply determine what power of 10 the decimal exhas a tendency to, use that power of 10 as the denominator, enter each number to the appropriate of the decimal suggest as the numerator, and also 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 biggest common aspect between the numerator and also denominator is 2.

Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of 10) can be analyzed to decimal form utilizing the exact same principles. Take the fractivity
1
2
for instance. To convert this fraction into a decimal, initially transform it into the fractivity of
5
10
. Knowing that the initially 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 certainly then be 0.05, and also so on. Beyond this, converting fractions into decimals requires the operation of long division.

Typical Engineering Fraction to Decimal Conversions

In engineering, fractions are extensively used to describe the dimension of components such as pipes and also bolts. The a lot of widespread fractional and also 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