Below space multiple portion thedesigningfairy.coms qualified of addition, subtraction, multiplication, division, simplification, and conversion in between fractions and decimals. Fields above the solid black color line stand for the numerator, if fields listed below represent the denominator.

You are watching: 1/2 times 1/2

+ - x / = ?
?

Mixed number thedesigningfairy.com

+ - x / = ?

Simplify fountain thedesigningfairy.com

=?

Decimal to portion thedesigningfairy.com

=?
?

Fraction come Decimal thedesigningfairy.com

= ?

Big Number fraction thedesigningfairy.com

Use this thedesigningfairy.com if the molecule or denominators are very big integers.

+ - x / = ?
\"*\"

In mathematics, a portion is a number that represents a part of a whole. It consists of a numerator and a denominator. The molecule represents the variety of equal components of a whole, while the denominator is the total variety of parts that consist of said whole. For example, in the portion of
3
8
, the molecule is 3, and also the denominator is 8. A much more illustrative example could involve a pie v 8 slices. 1 of those 8 slices would constitute the molecule of a fraction, if the complete of 8 slices the comprises the totality pie would be the denominator. If a person were come eat 3 slices, the remaining portion of the pie would as such be
5
8
as displayed in the photo to the right. Keep in mind that the denominator the a fraction cannot it is in 0, together it would make the portion undefined. Fractions can undergo countless different operations, some of which are mentioned below.

Addition:

Unlike adding and subtracting integers such as 2 and 8, fractions call for a typical denominator come undergo these operations. One method for recognize a common denominator entails multiplying the numerators and denominators of every one of the fractions associated by the product that the denominators of each fraction. Multiplying every one of the platform ensures that the brand-new denominator is particular to it is in a many of every individual denominator. The numerators additionally need come be multiplied by the suitable factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure the the fractions have actually a common denominator. However, in many cases, the options to this equations will not appear in simplified form (the listed thedesigningfairy.com computes the simplification automatically). 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 procedure can be offered for any variety of fractions. Just multiply the numerators and also denominators of each portion in the difficulty by the product of the platform of every the various other fractions (not including its very 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 common denominator is to recognize the least common multiple (LCM) because that the denominators, then include or subtract the numerators together one would certainly an integer. Utilizing the least common multiple have the right to be more efficient and also is more likely to result in a portion in streamlined form. In the example above, the denominators to be 4, 6, and also 2. The least typical multiple is the very first shared multiple of these 3 numbers.

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

The an initial multiple they all share is 12, for this reason this is the least common multiple. To complete an addition (or subtraction) problem, main point the numerators and denominators that each portion in the problem by every little thing value 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 subtraction is essentially the same as fraction addition. A typical denominator is compelled for the procedure to occur. Refer to the enhancement section and also the equations listed below for clarification.

See more: Watch The Man Show Season 6 Episode 10, List Of The Man Show Episodes

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 relatively straightforward. Unlike including and subtracting, that is not vital to compute a usual denominator in stimulate to multiply fractions. Simply, the numerators and denominators of each fraction are multiplied, and also the result forms a new numerator and also denominator. If possible, the solution should be simplified. Describe the equations below for clarification.

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

Division:

The process for separating fractions is comparable to that for multiplying fractions. In stimulate to divide fractions, the fraction in the molecule is multiply by the mutual of the fraction in the denominator. The reciprocal of a number a is merely
1
a
. As soon as a is a fraction, this essentially involves exchanging the position of the numerator and also the denominator. The reciprocal of the portion
3
4
would as such 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 much easier to occupational with simplified fractions. Together such, portion solutions are generally expressed in their streamlined forms.
220
440
for example, is much more cumbersome 보다
1
2
. The thedesigningfairy.com detailed returns portion inputs in both not correct fraction form as well as mixed number form. In both cases, fractions space presented in their lowest creates by splitting both numerator and also denominator by your greatest usual factor.

Converting between fractions and also decimals:

Converting from decimals to fountain is straightforward. That does, however, require the expertise that every decimal ar to the ideal of the decimal allude represents a strength of 10; the an initial decimal ar being 101, the 2nd 102, the 3rd 103, and so on. Simply recognize what power of 10 the decimal extend to, use that power of 10 as the denominator, enter each number to the right of the decimal allude as the numerator, and also simplify. For example, looking at the number 0.1234, the number 4 is in the 4th decimal place, i beg your pardon constitutes 104, or 10,000. This would certainly make the fraction
1234
10000
, which simplifies to
617
5000
, because the greatest typical factor in between the numerator and also denominator is 2.

Similarly, fractions with denominators that room powers the 10 (or deserve to be convert to strength of 10) have the right to be translated to decimal kind using the very same principles. Take the fraction
1
2
for example. To transform this fraction into a decimal, first convert it right into the portion of
5
10
. Knowing that the an initial decimal ar represents 10-1,
5
10
have the right to be converted to 0.5. If the portion were instead
5
100
, the decimal would certainly then be 0.05, and also so on. Beyond this, converting fractions into decimals calls for the operation of long division.

Common Engineering fraction to Decimal Conversions

In engineering, fractions room widely provided to describe the size of components such as pipes and also bolts. The most common fractional and also decimal equivalents are provided 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