Below are multiple fraction soimg.orgs capable of addition, subtractivity, multiplication, department, simplification, and convariation between fractions and decimals. Fields over the solid black line represent the numerator, while fields listed below reexisting the denominator.

You are watching: 1/6 plus 1/6

 + - x / = ? ?

## Mixed Numbers soimg.org

 + - x / = ?

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## Big Number Fraction soimg.org

Use this soimg.org if the numerators or denominators are incredibly significant integers.

 + - x / = ? In mathematics, a portion is a number that represents a part of a entirety. It is composed of a numerator and a denominator. The numerator represents the number of equal parts of a entirety, while the denominator is the full number of parts that consist of sassist entirety. For example, in the fractivity of
 3 8
, the numerator is 3, and the denominator is 8. A more illustrative example can involve a pie through 8 slices. 1 of those 8 slices would certainly constitute the numerator of a portion, while the full of 8 slices that comprises the totality pie would be the denominator. If a perchild were to eat 3 slices, the staying fractivity of the pie would therefore be
 5 8
as shown in the picture to the ideal. Keep in mind that the denominator of a portion cannot be 0, as it would certainly make the fractivity unidentified. Fractions can undergo many various operations, some of which are pointed out below.

Unlike adding and subtracting integers such as 2 and 8, fractions call for a common denominator to undergo these operations. One approach for finding a common denominator entails multiplying the numerators and denominators of every one of the fractions affiliated by the product of the denominators of each fractivity. Multiplying all of the denominators ensures that the brand-new denominator is certain to be a multiple of each individual denominator. The numerators additionally have to be multiplied by the proper determinants to maintain the worth of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a widespread denominator. However before, in a lot of cases, the solutions to these equations will certainly not show up in simplified create (the provided soimg.org computes the simplification automatically). Below is an instance making use of 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 procedure have the right to be used for any type of variety of fractions. Just multiply the numerators and also denominators of each fraction in the problem by the product of the denominators of all the various other fractions (not including its own corresponding 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 approach for finding a prevalent denominator is to recognize the leastern widespread multiple (LCM) for the denominators, then add or subtract the numerators as one would certainly an integer. Using the leastern prevalent multiple deserve to be more reliable and also is even more most likely to bring about a fraction in simplified form. In the instance above, the denominators were 4, 6, and also 2. The leastern prevalent multiple is the initially mutual multiple of these three 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 least prevalent multiple. To complete an enhancement (or subtraction) trouble, multiply the numerators and also denominators of each fractivity in the problem 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 subtraction is fundamentally the very same as fractivity enhancement. A prevalent denominator is required for the operation to occur. Refer to the addition area and the equations below for clarification.

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 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 fairly straightforward. Unprefer including and also subtracting, it is not crucial to compute a common denominator in order to multiply fractions. Ssuggest, the numerators and also denominators of each fraction are multiplied, and also the outcome develops a brand-new numerator and also denominator. If feasible, the solution must be simplified. Refer to the equations below for clarification.

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

### Division:

The process for splitting fractions is similar 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 portion, this essentially involves exaltering the position of the numerator and the denominator. The reciprocal of the fraction
 3 4
would therefore be
 4 3
. Refer to 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 regularly simpler to work with simplified fractions. Because of this, fraction services are generally expressed in their streamlined develops.
 220 440
for instance, is even more cumbersome than
 1 2
. The soimg.org provided returns fraction inputs in both imappropriate fractivity develop and also combined number develop. In both instances, fractions are presented in their lowest develops by dividing both numerator and also denominator by their greatest prevalent variable.

### Converting in between fractions and also decimals:

Converting from decimals to fractions is straightforward. It does, however, require the knowledge that each decimal location to the appropriate of the decimal suggest represents a power of 10; the first decimal area being 101, the second 102, the third 103, and so on. Sindicate identify 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 allude as the numerator, and simplify. For instance, looking at the number 0.1234, the number 4 is in the fourth decimal location, which constitutes 104, or 10,000. This would certainly make the fractivity
 1234 10000
, which simplifies to
 617 5000
, since the greatest common aspect between the numerator and denominator is 2.

Similarly, fractions via denominators that are powers of 10 (or deserve to be converted to powers of 10) have the right to be translated to decimal form using the exact same values. Take the fraction
 1 2
for instance. To convert this fractivity right into a decimal, initially transform it into the fraction of
 5 10
. Knowing that the initially decimal area represents 10-1,
 5 10
can be converted to 0.5. If the fraction were instead
 5 100
, the decimal would then be 0.05, and so on. Beyond this, converting fractions right into decimals calls for the operation of lengthy division.

### Typical Engineering Fractivity to Decimal Conversions

In engineering, fractions are extensively offered to define the size of components such as pipes and bolts. The a lot of prevalent fractional and also decimal equivalents are noted 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