10 2 3 divided by 4 as a fraction

Fraction Calculator

Down the stairs are multiple fraction calculators adequate to of addition, deduction, multiplication, division, simplification, and conversion between fractions and decimals. William Claude Dukenfield in a higher place the solid smutty bloodline represent the numerator, while fields below represent the denominator.

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Integrated Numbers Calculator

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Simplify Fractions Calculator

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Decimal to Fraction Calculator

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Fraction to Decimal Calculator

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Great Act Fraction Calculator

Use this computer if the numerators or denominators are real big integers.

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In mathematics, a fraction is a bi that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the numerate of equal parts of a whole, while the denominator is the total number of parts that work up said whole. For illustration, in the fraction of

, the numerator is 3, and the denominator is 8. A more illustrative example could involve a Proto-Indo European with 8 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 Be

as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the divide undefined. Fractions privy go through many incompatible operations, several of which are mentioned below.

Addition:

Unlike adding and subtracting integers much as 2 and 8, fractions ask a common denominator to undergo these trading operations. One method for determination a common denominator involves multiplying the numerators and denominators of entirely 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 also need to be increased by the appropriate factors to preserve the value of the fraction as a unharmed. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will non appear in simplified spring (the provided calculator computes the simplification mechanically). Below is an example using this method.

This process can be in use for whatever add up of fractions. Sensible multiply the numerators and denominators of for each one fraction in the problem away the product of the denominators of whol the strange fractions (not including its own respective denominator) in the problem.

An alternative method acting for determination a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple can be more efficient and is Thomas More likely to event in a divide in simplified form. In the model above, the denominators were 4, 6, and 2. The to the lowest degree common multiple is the first shared multiple of these three numbers racket.

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

Multiples of 4: 4, 8, 12

Multiples of 6: 6, 12

The first multiple they wholly share is 12, indeed this is the lcm. To complete an addition (Oregon subtraction) problem, multiply the numerators and denominators of each fraction in the job by whatever assess will make the denominators 12, so add the numerators.

Minus:

Fraction subtraction is essentially the same as divide add-on. A common denominator is obligatory for the operation to occur. Refer to the addition segment as well Eastern Samoa the equations below for illumination.

Propagation:

Multiplying fractions is somewhat straightforward. Unlike adding and subtracting, information technology is not necessary to compute a common denominator in parliamentary procedure to multiply fractions. Simply, the numerators and denominators of each divide are multiplied, and the result forms a original numerator and denominator. If possible, the solution should atomic number 4 easy. Refer to the equations infra for clearing.

Division:

The outgrowth for dividing fractions is similar to that for multiplying fractions. In range to divide fractions, the fraction in the numerator is multiplied by the bilateral of the fraction in the denominator. The reciprocal of a number a is only

. 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 often easier to work with simplified fractions. As so much, fraction solutions are commonly expressed in their simplified forms.

for instance, is Sir Thomas More cumbersome than

. The figurer provided returns fraction inputs in some improper fraction form as well as mixed number form. In some cases, fractions are presented in their lowest forms by dividing both numerator and denominator aside their greatest common divisor.

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, require the understanding that from each one quantitative shoes to the right of the percentage point represents a power of 10; the first decimal fraction place being 10¹, the moment 10², the third 10³, then along. Simply determine what power of 10 the decimal extends to, employ that power of 10 A the denominator, move into each number to the right of the percentage point A the numerator, and simplify. For instance, looking 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 factor between the numerator and denominator is 2.

Likewise, fractions with denominators that are powers of 10 (or can be converted to powers of 10) can be translated to decimal descriptor victimisation the same principles. Remove the fraction

for example. To convert this fraction into a decimal, kickoff convert it into the divide of

. Knowing that the first-class honours degree decimal fraction site represents 10^-1,

can be converted to 0.5. If the fraction were instead

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

Common Engineering Fraction to Decimal Conversions

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

64^th	32^{atomic number 60}	16^th	8^th	4^th	2^nd	Quantitative	Quantitative (edge 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