# 1 8 2 4

1 8 2 4

## Fraction Computer

Below are multiple fraction calculators capable of improver, subtraction, multiplication, division, simplification, and conversion betwixt fractions and decimals. Fields above the solid blackness line represent the numerator, while fields below represent the denominator.

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## Big Number Fraction Calculator

Use this calculator if the numerators or denominators are very big integers.

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In mathematics, a fraction is a number that represents a role of a whole. It consists of a numerator and a denominator. The numerator represents the number 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

, the numerator is 3, and the denominator is 8. A more illustrative case could involve a pie with eight slices. one of those 8 slices would establish the numerator of a fraction, while the total of 8 slices that comprises the whole pie would exist the denominator. If a person were to eat iii slices, the remaining fraction of the pie would therefore be

as shown in the image to the correct. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions tin can undergo many unlike operations, some of which are mentioned below.

Unlike calculation and subtracting integers such every bit 2 and eight, fractions require a common denominator to undergo these operations. I method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators besides need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest manner to ensure that the fractions have a common denominator. Still, in most cases, the solutions to these equations will not announced in simplified class (the provided calculator computes the simplification automatically). Below is an instance using this method.

This process can be used for whatsoever number of fractions. Just multiply the numerators and denominators of each fraction in the problem by the production of the denominators of all the other fractions (not including its own respective denominator) in the trouble.

An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, so add together or subtract the numerators as one would an integer. Using the to the lowest degree mutual multiple can exist more than efficient and is more likely to result in a fraction in simplified class. In the instance above, the denominators were 4, six, and 2. The least common multiple is the first shared multiple of these three numbers.

 Multiples of ii: 2, 4, vi, 8 10, 12 Multiples of 4: 4, eight, 12 Multiples of six: 6, 12

The starting time multiple they all share is 12, and so this is the least common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatever value will brand the denominators 12, so add the numerators.

### Subtraction:

Fraction subtraction is essentially the same as fraction addition. A mutual denominator is required for the operation to occur. Refer to the improver section also as the equations beneath for description.

### Multiplication:

Multiplying fractions is fairly straightforward. Unlike calculation and subtracting, it is not necessary to compute a common denominator in order to multiply fractions. Simply, the numerators and denominators of each fraction are multiplied, and the result forms a new numerator and denominator. If possible, the solution should be simplified. Refer to the equations beneath for description.

### Segmentation:

The process for dividing fractions is similar to that for multiplying fractions. In order to separate fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number
a
is simply

. When a is a fraction, this substantially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction

would therefore be

. Refer to the equations below for clarification.

### Simplification:

It is often easier to piece of work with simplified fractions. As such, fraction solutions are usually expressed in their simplified forms.

for case, is more cumbersome than

. The calculator provided returns fraction inputs in both improper fraction form also as mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator past their greatest mutual factor.

### Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the correct of the decimal point represents a power of 10; the get-go decimal place being x1, the second 10ii, the third 10three, and so on. Simply decide what power of ten the decimal extends to, use that power of 10 every bit the denominator, enter each number to the correct of the decimal point as the numerator, and simplify. For case, 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 fraction

, which simplifies to

, since the greatest common gene between the numerator and denominator is ii.

Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of 10) tin can be translated to decimal grade using the same principles. Take the fraction

for instance. To convert this fraction into a decimal, beginning convert it into the fraction of

. Knowing that the commencement decimal place represents 10-1,

can be converted to 0.5. If the fraction were instead

, the decimal would then exist 0.05, and so on. Beyond this, converting fractions into decimals requires the operation of long division.

### Common Technology Fraction to Decimal Conversions

In engineering, fractions are widely used to draw the size of components such every bit pipes and bolts. The almost common partial and decimal equivalents are listed below.

 64th 32nd 16th 8th ivth iind Decimal Decimal(inch to mm) 1/64 0.015625 0.396875 2/64 1/32 0.03125 0.79375 3/64 0.046875 ane.190625 4/64 2/32 ane/16 0.0625 1.5875 5/64 0.078125 i.984375 6/64 3/32 0.09375 2.38125 seven/64 0.109375 2.778125 8/64 4/32 2/16 1/viii 0.125 3.175 nine/64 0.140625 three.571875 10/64 5/32 0.15625 3.96875 xi/64 0.171875 4.365625 12/64 6/32 3/sixteen 0.1875 iv.7625 13/64 0.203125 v.159375 fourteen/64 7/32 0.21875 5.55625 15/64 0.234375 v.953125 16/64 8/32 four/xvi ii/viii 1/4 0.25 6.35 17/64 0.265625 6.746875 18/64 nine/32 0.28125 7.14375 nineteen/64 0.296875 7.540625 twenty/64 10/32 five/16 0.3125 vii.9375 21/64 0.328125 8.334375 22/64 11/32 0.34375 viii.73125 23/64 0.359375 9.128125 24/64 12/32 6/16 iii/eight 0.375 9.525 25/64 0.390625 9.921875 26/64 xiii/32 0.40625 10.31875 27/64 0.421875 10.715625 28/64 14/32 7/sixteen 0.4375 xi.1125 29/64 0.453125 eleven.509375 30/64 15/32 0.46875 11.90625 31/64 0.484375 12.303125 32/64 16/32 8/16 4/8 ii/4 1/2 0.five 12.vii 33/64 0.515625 thirteen.096875 34/64 17/32 0.53125 13.49375 35/64 0.546875 13.890625 36/64 18/32 9/xvi 0.5625 xiv.2875 37/64 0.578125 14.684375 38/64 nineteen/32 0.59375 15.08125 39/64 0.609375 15.478125 40/64 20/32 ten/16 5/8 0.625 15.875 41/64 0.640625 sixteen.271875 42/64 21/32 0.65625 sixteen.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 eighteen.25625 47/64 0.734375 18.653125 48/64 24/32 12/16 vi/8 iii/4 0.75 19.05 49/64 0.765625 19.446875 50/64 25/32 0.78125 nineteen.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/sixteen vii/viii 0.875 22.225 57/64 0.890625 22.621875 58/64 29/32 0.90625 23.01875 59/64 0.921875 23.415625 threescore/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 viii/viii 4/four two/2 1 25.iv

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