Below are multiple portion tasiilaq.nets qualified of addition, subtraction, multiplication, division, simplification, and also conversion in between fractions and decimals. Fields over the solid black line stand for the numerator, while fields listed below represent the denominator.

You are watching: 15 divided by 6 2 3 as a fraction

+ - x / = ?
?

Mixed numbers tasiilaq.net

+ - x / = ?

Simplify fountain tasiilaq.net

=?

Decimal to portion tasiilaq.net

=?
?

Fraction come Decimal tasiilaq.net

= ?

Big Number portion tasiilaq.net

Use this tasiilaq.net if the molecule or denominators are very huge integers.

+ - x / = ?
\"*\"

In mathematics, a fraction is a number the represents a component of a whole. It is composed of a numerator and a denominator. The molecule represents the number of equal components of a whole, when the denominator is the total variety of parts that comprise said whole. Because that example, in the fraction of
3
8
, the molecule is 3, and also the denominator is 8. A an ext illustrative example might involve a pie with 8 slices. 1 the those 8 slices would certainly constitute the molecule of a fraction, if the total of 8 slices that comprises the totality pie would certainly be the denominator. If a human being were come eat 3 slices, the remaining fraction of the pie would as such be
5
8
as displayed in the image to the right. Note that the denominator that a fraction cannot be 0, as it would certainly make the fraction undefined. Fractions can undergo many different operations, some of which are discussed below.

Addition:

Unlike including and subtracting integers such together 2 and 8, fractions require a typical denominator to undergo these operations. One technique for finding a usual denominator entails multiplying the numerators and denominators of all of the fractions involved by the product of the platform of each fraction. Multiplying every one of the platform ensures the the brand-new denominator is particular to it is in a many of each individual denominator. The numerators also need to be multiply by the proper factors to preserve the worth of the fraction as a whole. This is maybe the simplest method to ensure the the fractions have actually a common denominator. However, in many cases, the solutions to these equations will not show up in simplified type (the provided tasiilaq.net computes the leveling automatically). Listed below is an instance using this method.

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 can be used for any variety of fractions. Simply multiply the numerators and also denominators the each portion in the problem by the product that the denominators of every the other fractions (not consisting of its own respective 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 technique for recognize a typical denominator is to determine the least usual multiple (LCM) because that the denominators, then include or subtract the numerators as one would an integer. Making use of the least common multiple deserve to be more efficient and is much more likely to result in a portion in simplified form. In the instance above, the denominators were 4, 6, and also 2. The least common multiple is the an initial shared many of these 3 numbers.

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

The very first multiple they all share is 12, therefore this is the least typical multiple. To complete an enhancement (or subtraction) problem, multiply the numerators and also denominators of each portion in the problem by everything value will certainly 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 subtraction is essentially the very same as portion addition. A typical denominator is forced for the procedure to occur. Describe the addition section and also the equations below for clarification.

See more: What Is A Clean Sheet In Soccer ? Clean Sheet

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 reasonably straightforward. Unlike adding and subtracting, that is not important to compute a usual denominator in stimulate to main point fractions. Simply, the numerators and also denominators the each portion are multiplied, and also the an outcome forms a new numerator and also denominator. If possible, the solution need to be simplified. Describe 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 splitting fractions is comparable to the for multiplying fractions. In order to division fractions, the fraction in the molecule is multiply by the reciprocal of the fraction in the denominator. The reciprocal of a number a is simply
1
a
. As soon as a is a fraction, this essentially involves exchanging the place of the numerator and the denominator. The mutual of the fraction
3
4
would therefore be
4
3
. Describe 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 often less complicated to job-related with streamlined fractions. Together such, portion solutions are generally expressed in their simplified forms.
220
440
because that example, is much more cumbersome than
1
2
. The tasiilaq.net provided returns fraction inputs in both improper fraction type as well as combined number form. In both cases, fractions are presented in your lowest creates by separating both numerator and also denominator by their greatest typical factor.

Converting between fractions and decimals:

Converting from decimals to fountain is straightforward. It does, however, call for the knowledge that each decimal ar to the appropriate of the decimal allude represents a power of 10; the very first decimal ar being 101, the 2nd 102, the third 103, and also so on. Simply recognize what strength of 10 the decimal extend to, use that power of 10 together the denominator, enter each number come the right of the decimal point as the numerator, and simplify. Because that example, looking in ~ the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 104, or 10,000. This would certainly make the fraction
1234
10000
, which simplifies to
617
5000
, since the greatest common factor in between the numerator and also denominator is 2.

Similarly, fractions through denominators that space powers the 10 (or can be convert to powers of 10) deserve to be analyzed to decimal kind using the same principles. Take the portion
1
2
for example. To convert this fraction into a decimal, very first convert it right into the portion of
5
10
. Learning that the very first decimal location represents 10-1,
5
10
deserve to be converted to 0.5. If the fraction were rather
5
100
, the decimal would certainly then be 0.05, and also so on. Past this, converting fractions right into decimals needs the operation of long division.

Common Engineering fraction to Decimal Conversions

In engineering, fractions are widely supplied to explain the size of components such together pipes and also bolts. The most typical fractional and decimal equivalents are 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