# 1/3 Divided by 7 as a Fraction

## Fraction Reckoner

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line correspond the numerator, while fields below stand for the denominator.

 = ? ? ## Mixed Numbers Calculator

 = ? ## Simplify Fractions Calculator

 = ? ## Decimal to Fraction Calculator

 = ? ? ## Fraction to Decimal Calculator

 = ? ## Big Number Fraction Estimator

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

 = ?  In mathematics, a fraction is a number that represents a office 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 instance could involve a pie with 8 slices. 1 of those 8 slices would institute the numerator of a fraction, while the full of 8 slices that comprises the whole pie would be the denominator. If a person were to swallow 3 slices, the remaining fraction of the pie would therefore exist

equally shown in the image to the right. Note that the denominator of a fraction cannot be 0, every bit it would brand the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.

Unlike adding and subtracting integers such equally 2 and 8, fractions crave a mutual denominator to undergo these operations. One 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 exist a multiple of each individual denominator. The numerators also need to be multiplied past the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions take a common denominator. However, in most cases, the solutions to these equations will not appear in simplified grade (the provided calculator computes the simplification automatically). Beneath is an example using this method.

This process can be used for any number of fractions. Merely multiply the numerators and denominators of each fraction in the problem past the product of the denominators of all the other fractions (not including its own corresponding denominator) in the problem.

An alternative method for finding a common denominator is to make up one’s mind the to the lowest degree common multiple (LCM) for the denominators, then add together or decrease the numerators as one would an integer. Using the least common multiple tin be more efficient and is more likely to result in a fraction in simplified form. In the example above, the denominators were 4, vi, and two. The least common multiple is the starting time shared multiple of these three numbers.

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

The first multiple they all share is 12, 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 past whatever value volition make the denominators 12, then add the numerators.

### Subtraction:

Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation to occur. Refer to the addition section equally well as the equations below for clarification.

### Multiplication:

Multiplying fractions is fairly straightforward. Dissimilar adding and subtracting, information technology is non necessary to compute a common denominator in guild 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 clarification.

### Division:

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 but

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

would therefore be

. Refer to the equations below for description.

### Simplification:

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

for example, is more cumbersome than

. The calculator provided returns fraction inputs in both improper fraction form too every bit mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator past their greatest common gene.

### Converting betwixt fractions and decimals:

Converting from decimals to fractions is straightforward. Information technology does, however, require the understanding that each decimal identify to the correct of the decimal point represents a power of 10; the kickoff decimal place being x1, the 2d x2, the third 10three, and so on. Simply determine what ability of 10 the decimal extends to, employ that ability of 10 as the denominator, enter each number to the right of the decimal point equally the numerator, and simplify. For case, looking at the number 0.1234, the number 4 is in the 4th decimal place, which constitutes xfour, or 10,000. This would make the fraction

, which simplifies to

, since the greatest common factor betwixt the numerator and denominator is ii.

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

for example. To convert this fraction into a decimal, first convert information technology into the fraction of

. Knowing that the first decimal place represents 10-one,

can be converted to 0.five. If the fraction were instead

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

### Common Engineering Fraction to Decimal Conversions

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

 64th 32nd 16thursday 8thursday 4th twond Decimal Decimal(inch to mm) 1/64 0.015625 0.396875 ii/64 one/32 0.03125 0.79375 3/64 0.046875 1.190625 4/64 2/32 ane/sixteen 0.0625 ane.5875 five/64 0.078125 1.984375 6/64 3/32 0.09375 2.38125 seven/64 0.109375 2.778125 8/64 4/32 2/16 one/eight 0.125 3.175 nine/64 0.140625 3.571875 10/64 v/32 0.15625 iii.96875 11/64 0.171875 4.365625 12/64 6/32 3/16 0.1875 4.7625 xiii/64 0.203125 5.159375 14/64 vii/32 0.21875 5.55625 xv/64 0.234375 five.953125 16/64 8/32 iv/16 ii/8 1/iv 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 ten/32 v/xvi 0.3125 7.9375 21/64 0.328125 8.334375 22/64 11/32 0.34375 8.73125 23/64 0.359375 ix.128125 24/64 12/32 vi/16 3/eight 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 vii/16 0.4375 11.1125 29/64 0.453125 xi.509375 thirty/64 15/32 0.46875 11.90625 31/64 0.484375 12.303125 32/64 16/32 8/sixteen 4/8 2/iv 1/2 0.5 12.7 33/64 0.515625 13.096875 34/64 17/32 0.53125 xiii.49375 35/64 0.546875 13.890625 36/64 eighteen/32 9/16 0.5625 fourteen.2875 37/64 0.578125 xiv.684375 38/64 19/32 0.59375 xv.08125 39/64 0.609375 15.478125 40/64 20/32 10/sixteen 5/eight 0.625 fifteen.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 eighteen.25625 47/64 0.734375 eighteen.653125 48/64 24/32 12/sixteen 6/8 3/4 0.75 19.05 49/64 0.765625 xix.446875 l/64 25/32 0.78125 19.84375 51/64 0.796875 20.240625 52/64 26/32 xiii/xvi 0.8125 twenty.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 xxx/32 xv/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 xvi/xvi viii/8 4/4 two/2 1 25.four

## 1/3 Divided by 7 as a Fraction

Source: https://www.calculator.net/fraction-calculator.html

Originally posted 2022-08-02 13:27:30.

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