3 Divided By 1 3
Contents
- 1 Fraction Calculator
- two Mixed Numbers Calculator
- 3 Simplify Fractions Calculator
- 4 Decimal to Fraction Estimator
- five Fraction to Decimal Calculator
- vi Big Number Fraction Estimator
- six.1 Addition:
- half-dozen.2 Subtraction:
- 6.3 Multiplication:
- six.4 Sectionalisation:
- half dozen.5 Simplification:
- six.half-dozen Converting between fractions and decimals:
- 6.7 Mutual Technology Fraction to Decimal Conversions
- 6.viii What is 3 4 Divided by ane 3
Fraction Estimator
Below are multiple fraction calculators capable of improver, subtraction, multiplication, segmentation, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below correspond the denominator.
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Mixed Numbers Estimator
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Simplify Fractions Computer
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Decimal to Fraction Calculator
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Fraction to Decimal Calculator
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Big Number Fraction Reckoner
Utilize this reckoner if the numerators or denominators are very big integers.
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In mathematics, a fraction is a number that represents a function 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 brand up said whole. For example, in the fraction of
, the numerator is 3, and the denominator is 8. A more than illustrative example could involve a pie with eight slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore exist
as shown in the image to the correct. Notation that the denominator of a fraction cannot exist 0, as information technology would make the fraction undefined. Fractions tin undergo many different operations, some of which are mentioned beneath.
Improver:
Different adding and subtracting integers such as two and viii, fractions require a common denominator to undergo these operations. Ane 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 sure to exist a multiple of each individual denominator. The numerators too need to be multiplied by the appropriate factors to preserve the value of the fraction every bit a whole. This is arguably the simplest way to ensure that the fractions accept a common denominator. However, in virtually cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Beneath is an example using this method.
This process can exist used for whatsoever number of fractions. Just multiply the numerators and denominators of each fraction in the trouble by the product 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 make up one's mind the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple tin can be more efficient and is more likely to result in a fraction in simplified grade. In the example in a higher place, the denominators were 4, 6, and 2. The least mutual multiple is the outset shared multiple of these iii numbers.
Multiples of two: ii, 4, six, viii 10, 12 |
Multiples of 4: iv, 8, 12 |
Multiples of 6: 6, 12 |
The first multiple they all share is 12, so this is the least common multiple. To consummate an addition (or subtraction) trouble, multiply the numerators and denominators of each fraction in the trouble by whatever value volition make the denominators 12, and so add together the numerators.
Subtraction:
Fraction subtraction is essentially the same as fraction add-on. A common denominator is required for the operation to occur. Refer to the improver section also as the equations below for description.
Multiplication:
Multiplying fractions is adequately straightforward. Unlike adding and subtracting, it is not necessary to compute a common denominator in gild to multiply fractions. Simply, the numerators and denominators of each fraction are multiplied, and the outcome forms a new numerator and denominator. If possible, the solution should exist simplified. Refer to the equations below for description.
Division:
The process for dividing fractions is similar to that for multiplying fractions. In social club to divide fractions, the fraction in the numerator is multiplied past the reciprocal of the fraction in the denominator. The reciprocal of a number
a
is simply
. 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 clarification.
Simplification:
It is oftentimes easier to work with simplified fractions. Equally such, fraction solutions are commonly expressed in their simplified forms.
for instance, is more cumbersome than
. The estimator provided returns fraction inputs in both improper fraction form every bit well as mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest common factor.
Converting betwixt fractions and decimals:
Converting from decimals to fractions is straightforward. It does, yet, require the understanding that each decimal place to the right of the decimal point represents a power of x; the first decimal identify being xane, the second x2, the third ten3, and and then on. Simply determine what power of 10 the decimal extends to, employ that power of ten 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 quaternary decimal identify, which constitutes ten4, or 10,000. This would make the fraction
, which simplifies to
, since the greatest common factor between the numerator and denominator is 2.
Similarly, fractions with denominators that are powers of 10 (or tin can exist converted to powers of 10) can exist translated to decimal form using the same principles. Take the fraction
for example. To convert this fraction into a decimal, first convert it into the fraction of
. Knowing that the commencement decimal place represents 10-ane,
can be converted to 0.v. If the fraction were instead
, the decimal would then be 0.05, and so on. Across this, converting fractions into decimals requires the operation of long division.
Common Applied science Fraction to Decimal Conversions
In engineering science, fractions are widely used to describe the size of components such equally pipes and bolts. The most common partial and decimal equivalents are listed below.
64th | 32nd | 16thursday | 8th | ivth | 2nd | Decimal | Decimal (inch to mm) |
ane/64 | 0.015625 | 0.396875 | |||||
2/64 | 1/32 | 0.03125 | 0.79375 | ||||
3/64 | 0.046875 | 1.190625 | |||||
4/64 | two/32 | 1/16 | 0.0625 | 1.5875 | |||
5/64 | 0.078125 | 1.984375 | |||||
6/64 | 3/32 | 0.09375 | 2.38125 | ||||
vii/64 | 0.109375 | 2.778125 | |||||
8/64 | 4/32 | ii/xvi | i/eight | 0.125 | 3.175 | ||
9/64 | 0.140625 | three.571875 | |||||
10/64 | 5/32 | 0.15625 | 3.96875 | ||||
11/64 | 0.171875 | four.365625 | |||||
12/64 | 6/32 | 3/16 | 0.1875 | 4.7625 | |||
13/64 | 0.203125 | v.159375 | |||||
14/64 | 7/32 | 0.21875 | 5.55625 | ||||
15/64 | 0.234375 | 5.953125 | |||||
sixteen/64 | 8/32 | iv/16 | 2/8 | 1/4 | 0.25 | half-dozen.35 | |
17/64 | 0.265625 | 6.746875 | |||||
18/64 | 9/32 | 0.28125 | 7.14375 | ||||
nineteen/64 | 0.296875 | seven.540625 | |||||
20/64 | 10/32 | 5/sixteen | 0.3125 | 7.9375 | |||
21/64 | 0.328125 | eight.334375 | |||||
22/64 | 11/32 | 0.34375 | 8.73125 | ||||
23/64 | 0.359375 | ix.128125 | |||||
24/64 | 12/32 | 6/sixteen | 3/8 | 0.375 | ix.525 | ||
25/64 | 0.390625 | nine.921875 | |||||
26/64 | xiii/32 | 0.40625 | 10.31875 | ||||
27/64 | 0.421875 | 10.715625 | |||||
28/64 | 14/32 | vii/16 | 0.4375 | eleven.1125 | |||
29/64 | 0.453125 | 11.509375 | |||||
xxx/64 | fifteen/32 | 0.46875 | eleven.90625 | ||||
31/64 | 0.484375 | 12.303125 | |||||
32/64 | 16/32 | 8/xvi | four/8 | 2/4 | i/2 | 0.v | 12.7 |
33/64 | 0.515625 | 13.096875 | |||||
34/64 | 17/32 | 0.53125 | 13.49375 | ||||
35/64 | 0.546875 | 13.890625 | |||||
36/64 | eighteen/32 | 9/16 | 0.5625 | 14.2875 | |||
37/64 | 0.578125 | 14.684375 | |||||
38/64 | 19/32 | 0.59375 | fifteen.08125 | ||||
39/64 | 0.609375 | 15.478125 | |||||
40/64 | xx/32 | 10/16 | 5/eight | 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 | eighteen.25625 | ||||
47/64 | 0.734375 | xviii.653125 | |||||
48/64 | 24/32 | 12/16 | vi/8 | three/iv | 0.75 | 19.05 | |
49/64 | 0.765625 | xix.446875 | |||||
50/64 | 25/32 | 0.78125 | 19.84375 | ||||
51/64 | 0.796875 | xx.240625 | |||||
52/64 | 26/32 | 13/sixteen | 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 | |||||
sixty/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/eight | 4/4 | two/2 | 1 | 25.4 |
3 Divided By 1 3,
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