Below are multiple fraction wgc2010.orgs capable of addition, subtraction, multiplication, division, simplification, and also conversion in between fractions and also decimals. Fields over the solid black line represent the numerator, while fields below represent the denominator.

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 + - x / = ? ?

## Mixed number wgc2010.org

 + - x / = ?

 =?

 = ? ?

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## Big Number fraction wgc2010.org

Use this wgc2010.org if the numerators or denominators room 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 also a denominator. The molecule represents the variety of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction of
 3 8
, the numerator is 3, and the denominator is 8. A much more illustrative example can involve a pie with 8 slices. 1 of those 8 slices would certainly constitute the molecule of a fraction, while the complete of 8 slices that comprises the whole pie would certainly be the denominator. If a person were come eat 3 slices, the remaining fraction of the pie would because of this be
 5 8
as displayed in the picture to the right. Note that the denominator the a fraction cannot be 0, as it would make the fraction undefined. Fractions deserve to undergo countless different operations, few of which are pointed out below.

Unlike adding and individually integers such together 2 and 8, fractions call for a typical denominator come undergo this operations. One method for recognize a usual denominator entails multiplying the numerators and denominators of every one of the fractions associated by the product that the denominators of every fraction. Multiplying all of the platform ensures the the new denominator is certain to be a multiple of every individual denominator. The numerators additionally need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is maybe the simplest means to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will certainly not appear in simplified type (the listed wgc2010.org computes the simplification automatically). Listed below is an instance using this method.

 a b
+ c
d
= a×d
b×d
+ c×b
d×b
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 number of fractions. Just multiply the numerators and also denominators the each fraction in the trouble by the product the the platform of every the other fractions (not consisting of 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 method for detect a typical denominator is to identify the least usual multiple (LCM) for the denominators, then add or subtract the numerators together one would an integer. Using the least usual multiple deserve to be an ext efficient and is an ext likely to result in a portion in streamlined form. In the instance above, the denominators were 4, 6, and also 2. The least usual multiple is the very first shared multiple of these three numbers.

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

The an initial multiple they every share is 12, for this reason this is the least usual multiple. To finish an enhancement (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by every little thing value will make the platform 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 individually is basically the same as portion addition. A common denominator is required for the operation to occur. Refer to the addition section and also the equations listed below for clarification.

See more: " You Are Doing That Too Much. Try Again In 8 Minutes., You Are Doing That Too Much

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

### Multiplication:

Multiplying fractions is relatively straightforward. Unlike including and subtracting, it is not crucial to compute a common denominator in order to multiply fractions. Simply, the numerators and also denominators the each fraction are multiplied, and also the an outcome forms a brand-new numerator and denominator. If possible, the solution need to 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 procedure for dividing fractions is similar to the for multiply fractions. In bespeak to divide fractions, the portion in the molecule is multiply by the mutual of the portion in the denominator. The mutual of a number a is simply
 1 a
. As soon as a is a fraction, this essentially entails exchanging the position of the numerator and also the denominator. The mutual of the portion
 3 4
would because of this be
 4 3
. Describe the equations listed below for clarification.

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

### Simplification:

It is often simpler to job-related with streamlined fractions. Together such, portion solutions are typically expressed in their streamlined forms.
 220 440
because that example, is more cumbersome than
 1 2
. The wgc2010.org listed returns fraction inputs in both not correct fraction kind as fine as blended number form. In both cases, fractions are presented in their lowest forms by separating both numerator and also denominator by your greatest typical factor.

### Converting in between fractions and decimals:

Converting from decimal to fractions is straightforward. That does, however, require the expertise that every decimal ar to the best of the decimal suggest represents a strength of 10; the an initial decimal place being 101, the 2nd 102, the third 103, and also so on. Simply determine what strength of 10 the decimal expand to, usage that strength of 10 together the denominator, enter each number come the right of the decimal point 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 portion
 1234 10000
, i beg your pardon simplifies to
 617 5000
, because the greatest common factor between the numerator and also denominator is 2.

Similarly, fractions v denominators that room powers the 10 (or deserve to be converted to strength of 10) can be interpreted to decimal form using the very same principles. Take it the portion
 1 2
for example. To transform this portion into a decimal, very first convert it into the portion of
 5 10
. Learning that the very first 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 then be 0.05, and also so on. Beyond this, convert fractions into decimals requires the operation of lengthy division.

### Common Engineering portion to Decimal Conversions

In engineering, fractions room widely used to describe the dimension of contents such as pipes and also bolts. The most common fractional and also decimal equivalents are listed below.

 64th 32nd 16th 8th 4th 2nd Decimal Decimal(inch to mm) 1/64 0.015625 0.396875 2/64 1/32 0.03125 0.79375 3/64 0.046875 1.190625 4/64 2/32 1/16 0.0625 1.5875 5/64 0.078125 1.984375 6/64 3/32 0.09375 2.38125 7/64 0.109375 2.778125 8/64 4/32 2/16 1/8 0.125 3.175 9/64 0.140625 3.571875 10/64 5/32 0.15625 3.96875 11/64 0.171875 4.365625 12/64 6/32 3/16 0.1875 4.7625 13/64 0.203125 5.159375 14/64 7/32 0.21875 5.55625 15/64 0.234375 5.953125 16/64 8/32 4/16 2/8 1/4 0.25 6.35 17/64 0.265625 6.746875 18/64 9/32 0.28125 7.14375 19/64 0.296875 7.540625 20/64 10/32 5/16 0.3125 7.9375 21/64 0.328125 8.334375 22/64 11/32 0.34375 8.73125 23/64 0.359375 9.128125 24/64 12/32 6/16 3/8 0.375 9.525 25/64 0.390625 9.921875 26/64 13/32 0.40625 10.31875 27/64 0.421875 10.715625 28/64 14/32 7/16 0.4375 11.1125 29/64 0.453125 11.509375 30/64 15/32 0.46875 11.90625 31/64 0.484375 12.303125 32/64 16/32 8/16 4/8 2/4 1/2 0.5 12.7 33/64 0.515625 13.096875 34/64 17/32 0.53125 13.49375 35/64 0.546875 13.890625 36/64 18/32 9/16 0.5625 14.2875 37/64 0.578125 14.684375 38/64 19/32 0.59375 15.08125 39/64 0.609375 15.478125 40/64 20/32 10/16 5/8 0.625 15.875 41/64 0.640625 16.271875 42/64 21/32 0.65625 16.66875 43/64 0.671875 17.065625 44/64 22/32 11/16 0.6875 17.4625 45/64 0.703125 17.859375 46/64 23/32 0.71875 18.25625 47/64 0.734375 18.653125 48/64 24/32 12/16 6/8 3/4 0.75 19.05 49/64 0.765625 19.446875 50/64 25/32 0.78125 19.84375 51/64 0.796875 20.240625 52/64 26/32 13/16 0.8125 20.6375 53/64 0.828125 21.034375 54/64 27/32 0.84375 21.43125 55/64 0.859375 21.828125 56/64 28/32 14/16 7/8 0.875 22.225 57/64 0.890625 22.621875 58/64 29/32 0.90625 23.01875 59/64 0.921875 23.415625 60/64 30/32 15/16 0.9375 23.8125 61/64 0.953125 24.209375 62/64 31/32 0.96875 24.60625 63/64 0.984375 25.003125 64/64 32/32 16/16 8/8 4/4 2/2 1 25.4