Below room multiple fraction ubraintv-jp.coms capable of addition, subtraction, multiplication, division, simplification, and also conversion between fractions and decimals. Fields above the solid black line stand for the numerator, while fields below represent the denominator.

You are watching: 1 divided by 1/5

+ - x / = ?
?

Mixed numbers ubraintv-jp.com

+ - x / = ?

Simplify fractions ubraintv-jp.com

=?

Decimal to fraction ubraintv-jp.com

=?
?

Fraction to Decimal ubraintv-jp.com

= ?

Big Number portion ubraintv-jp.com

Use this ubraintv-jp.com if the molecule or denominators are very big integers.

+ - x / = ?
*

In mathematics, a fraction is a number the represents a part of a whole. It is composed of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total variety of parts that comprise said whole. For example, in the portion of
3
8
, the molecule is 3, and also the denominator is 8. A more illustrative example can involve a pie through 8 slices. 1 the those 8 slices would certainly constitute the numerator of a fraction, while the complete of 8 slices the comprises the whole pie would certainly be the denominator. If a human being were come eat 3 slices, the remaining fraction of the pie would therefore be
5
8
as shown in the picture to the right. Keep in mind that the denominator that a fraction cannot be 0, together it would make the portion undefined. Fractions can undergo countless different operations, some of which are mentioned below.

Addition:

Unlike including and subtracting integers such as 2 and 8, fractions call for a usual denominator come undergo these operations. One an approach for recognize a typical denominator involves multiplying the numerators and denominators of every one of the fractions connected by the product of the platform of every fraction. Multiplying all of the denominators ensures that the new denominator is particular to it is in a many of every individual denominator. The numerators also need to be multiply by the appropriate factors to keep the worth of the portion as a whole. This is arguably the simplest means to ensure the the fractions have actually a usual denominator. However, in many cases, the solutions to these equations will certainly not show up in simplified form (the noted ubraintv-jp.com computes the simplification automatically). Listed below is an example 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 procedure can be used for any variety of fractions. Just multiply the numerators and denominators the each fraction in the problem by the product the the platform of every the other fractions (not including 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 finding a usual denominator is to recognize the least usual multiple (LCM) for the denominators, then include or subtract the numerators as one would certainly an integer. Using the least typical multiple can be more efficient and also is more likely to result in a fraction in streamlined form. In the example above, the denominators to be 4, 6, and 2. The least common multiple is the very first shared multiple of these 3 numbers.

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

The first multiple they every share is 12, so this is the least typical multiple. To complete an enhancement (or subtraction) problem, main point the numerators and also denominators of each portion in the trouble by everything value will make the platform 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:

Fraction individually is basically the exact same as portion addition. A common denominator is required for the operation to occur. Refer to the addition section and the equations below for clarification.

See more: Fl A Major Goal Of Buddhism Is M, Introduction To Buddhism

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 fountain is reasonably straightforward. Unlike adding and subtracting, it is not vital to compute a common denominator in order to multiply fractions. Simply, the numerators and denominators the each fraction are multiplied, and also the result forms a brand-new numerator and 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 dividing fractions is comparable to that for multiplying fractions. In bespeak to division fractions, the fraction in the molecule is multiply by the reciprocal of the portion in the denominator. The reciprocal of a number a is simply
1
a
. Once a is a fraction, this essentially requires exchanging the position of the numerator and the denominator. The mutual of the portion
3
4
would 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 less complicated to job-related with streamlined fractions. As such, fraction solutions are frequently expressed in their streamlined forms.
220
440
for example, is an ext cumbersome 보다
1
2
. The ubraintv-jp.com detailed returns fraction inputs in both not correct fraction form as well as blended number form. In both cases, fractions are presented in their lowest develops by dividing both numerator and denominator by their greatest typical factor.

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. That does, however, call for the understanding that every decimal location to the ideal of the decimal allude represents a power of 10; the an initial decimal location being 101, the 2nd 102, the 3rd 103, and also so on. Simply identify what power of 10 the decimal expand to, use that strength of 10 as the denominator, enter each number to the right of the decimal suggest as the numerator, and also 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
, i m sorry simplifies to
617
5000
, due to the fact that the greatest common factor between the numerator and denominator is 2.

Similarly, fractions through denominators that room powers that 10 (or can be converted to strength of 10) have the right to be translated to decimal form using the same principles. Take it the fraction
1
2
because that example. To transform this fraction into a decimal, very first convert it into the portion of
5
10
. Learning that the an initial decimal place represents 10-1,
5
10
deserve to be convert to 0.5. If the fraction were instead
5
100
, the decimal would certainly then it is in 0.05, and also so on. Beyond this, convert fractions into decimals needs the procedure of lengthy division.

Common Engineering portion to Decimal Conversions

In engineering, fractions space widely used to explain the dimension of materials such together pipes and also bolts. The most typical fractional and also 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