Below space multiple portion couchsurfingcook.coms qualified of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields over the solid black line stand for the numerator, while fields below represent the denominator.

You are watching: What is 3 4 of 8

 + - x / = ? ?

## Mixed number couchsurfingcook.com

 + - x / = ?

 =?

 = ? ?

 = ?

## Big Number portion couchsurfingcook.com

Use this couchsurfingcook.com if the numerators or denominators are very huge 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 numerator represents the number of equal components of a whole, while the denominator is the total number 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 more illustrative example could involve a pie through 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, when the complete of 8 slices that comprises the totality pie would be the denominator. If a human were to eat 3 slices, the remaining portion of the pie would as such be
 5 8
as displayed in the image to the right. Note that the denominator the a fraction cannot it is in 0, as it would make the fraction undefined. Fractions have the right to undergo many different operations, several of which are pointed out below.

Unlike including and individually integers such together 2 and 8, fractions require a common denominator to undergo these operations. One method for finding a common denominator requires multiplying the numerators and denominators of all of the fractions affiliated by the product of the denominators of every fraction. Multiplying all of the platform ensures the the new denominator is details to be a lot of of each individual denominator. The numerators additionally need to be multiply by the appropriate factors to preserve the worth of the fraction as a whole. This is maybe the simplest means to ensure the the fractions have a typical denominator. However, in many cases, the solutions to these equations will not show up in simplified form (the noted couchsurfingcook.com computes the simplification automatically). Below is an example 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 procedure can be offered for any variety of fractions. Simply multiply the numerators and also denominators the each fraction in the difficulty by the product the the denominators of all 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 method for finding a typical denominator is to determine the least typical multiple (LCM) because that the denominators, then include or subtract the numerators together one would certainly an integer. Using the least common multiple deserve to be an ext efficient and also 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 an initial shared lot of of these three numbers.

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

The first multiple they all share is 12, for this reason this is the least typical multiple. To finish an addition (or subtraction) problem, multiply the numerators and also denominators of each fraction in the trouble by everything 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 subtraction is essentially the very same as fraction addition. A usual denominator is forced for the operation to occur. Describe the enhancement section as well as the equations listed below for clarification.

See more: Dreamworks" How To Train Your Dragon Arena Spectacular, How To Train Your Dragon Arena Spectacular

 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. Unlike including and subtracting, it is not important to compute a common denominator in order to main point fractions. Simply, the numerators and also denominators of each portion are multiplied, and the an outcome forms a new numerator and also denominator. If possible, 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 dividing fractions is similar to that for multiply fractions. In order to division fractions, the portion in the numerator is multiply by the mutual of the fraction in the denominator. The reciprocal of a number a is just
 1 a
. When a is a fraction, this essentially requires exchanging the place 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
bc
 EX: 3 4
/ 1
6
= 3
4
× 6
1
= 18
4
= 9
2

### Simplification:

It is often easier to job-related with simplified fractions. As such, portion solutions are generally expressed in their streamlined forms.
 220 440
for example, is an ext cumbersome 보다
 1 2
. The couchsurfingcook.com provided returns fraction inputs in both not correct fraction form as fine as mixed number form. In both cases, fractions room presented in your lowest forms by separating both numerator and also denominator by their greatest usual factor.

### Converting in between fractions and also decimals:

Converting from decimals to fractions is straightforward. The does, however, call for the understanding that each decimal ar to the ideal of the decimal suggest represents a power of 10; the very first decimal ar being 101, the second 102, the 3rd 103, and so on. Simply recognize what strength of 10 the decimal extends to, usage that power of 10 as the denominator, get in each number to the best of the decimal suggest as the numerator, and simplify. Because that example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 104, or 10,000. This would make the portion
 1234 10000
, i beg your pardon simplifies come
 617 5000
, because the greatest common factor in between the numerator and also denominator is 2.

Similarly, fractions through denominators that space powers of 10 (or deserve to be convert to strength of 10) have the right to be translated to decimal type using the exact same principles. Take it the portion
 1 2
for example. To transform this fraction into a decimal, an initial convert it right into the portion of
 5 10
. Knowing that the an initial decimal location represents 10-1,
 5 10
have the right to be converted to 0.5. If the fraction were instead
 5 100
, the decimal would certainly then it is in 0.05, and so on. Beyond this, converting fractions right into decimals needs the procedure of long division.

### Common Engineering fraction to Decimal Conversions

In engineering, fractions space widely offered to define the dimension of contents such together pipes and also bolts. The most common fractional and also decimal equivalents are provided 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