2 1/2 Divided By 4

Fraction Figurer

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields to a higher place the solid blackness line represent the numerator, while fields below represent the denominator.

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Mixed Numbers Estimator

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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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Large Number Fraction Computer

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 part 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 full number of parts that make up said whole. For case, in the fraction of

, the numerator is 3, and the denominator is eight. A more than illustrative case 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 be

every bit shown in the image to the right. Annotation that the denominator of a fraction cannot be 0, equally it would make the fraction undefined. Fractions can undergo many dissimilar operations, some of which are mentioned beneath.

Addition:

Unlike calculation and subtracting integers such as 2 and 8, fractions crave a common denominator to undergo these operations. I method for finding a mutual denominator involves multiplying the numerators and denominators of all of the fractions involved by the production 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 multiplied by the advisable factors to preserve the value of the fraction every bit a whole. This is arguably the simplest mode to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not announced in simplified form (the provided calculator computes the simplification automatically). Below is an case using this method.

This procedure tin can be used for any number of fractions. But 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 corresponding denominator) in the problem.

An culling method for finding a mutual denominator is to determine the least common multiple (LCM) for the denominators, so add or subtract the numerators as one would an integer. Using the least common multiple can exist more efficient and is more likely to result in a fraction in simplified class. In the example to a higher place, the denominators were four, vi, and ii. The to the lowest degree common multiple is the start shared multiple of these 3 numbers.

Multiples of 2: ii, iv, half-dozen, viii 10, 12

Multiples of 4: 4, 8, 12

Multiples of 6: 6, 12

The first 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 volition make the denominators 12, then add the numerators.

Subtraction:

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

Multiplication:

Multiplying fractions is fairly straightforward. Unlike calculation and subtracting, information technology is non necessary to compute a common denominator in gild 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.

Segmentation:

The process for dividing fractions is similar to that for multiplying fractions. In order to divide 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 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:

Information technology is often easier to work with simplified fractions. Equally such, fraction solutions are ordinarily expressed in their simplified forms.

for instance, is more cumbersome than

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

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, require the agreement that each decimal place to the correct of the decimal bespeak represents a power of x; the offset decimal place being 10¹, the second 10^two, the third 10³, and then on. But determine what power of x the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal indicate as the numerator, and simplify. For example, looking at the number 0.1234, the number four is in the fourth decimal place, which constitutes 10^four, or 10,000. This would make the fraction

, which simplifies to

, since the greatest common cistron between the numerator and denominator is 2.

Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of 10) can be translated to decimal class using the aforementioned principles. Accept the fraction

for example. To convert this fraction into a decimal, showtime catechumen it into the fraction of

. Knowing that the starting time decimal place represents x^-1,

can be converted to 0.5. If the fraction were instead

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

Common Engineering science Fraction to Decimal Conversions

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

64^th	32^nd	xvi^th	eight^thursday	4^th	2^nd	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	one/xvi				0.0625	1.5875
5/64						0.078125	1.984375
6/64	3/32					0.09375	two.38125
7/64						0.109375	2.778125
eight/64	4/32	2/xvi	1/8			0.125	three.175
9/64						0.140625	3.571875
10/64	5/32					0.15625	three.96875
11/64						0.171875	4.365625
12/64	6/32	iii/xvi				0.1875	4.7625
xiii/64						0.203125	5.159375
14/64	7/32					0.21875	5.55625
15/64						0.234375	v.953125
sixteen/64	eight/32	4/16	2/8	ane/4		0.25	6.35
17/64						0.265625	6.746875
18/64	9/32					0.28125	7.14375
xix/64						0.296875	seven.540625
20/64	10/32	five/sixteen				0.3125	vii.9375
21/64						0.328125	viii.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	ix.128125
24/64	12/32	6/16	3/viii			0.375	ix.525
25/64						0.390625	ix.921875
26/64	thirteen/32					0.40625	10.31875
27/64						0.421875	ten.715625
28/64	14/32	7/16				0.4375	11.1125
29/64						0.453125	11.509375
thirty/64	15/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	viii/16	4/viii	2/4	one/ii	0.5	12.7
33/64						0.515625	13.096875
34/64	17/32					0.53125	thirteen.49375
35/64						0.546875	13.890625
36/64	18/32	9/xvi				0.5625	fourteen.2875
37/64						0.578125	14.684375
38/64	19/32					0.59375	fifteen.08125
39/64						0.609375	fifteen.478125
40/64	20/32	ten/16	5/viii			0.625	15.875
41/64						0.640625	16.271875
42/64	21/32					0.65625	xvi.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	6/8	3/four		0.75	19.05
49/64						0.765625	nineteen.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	seven/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	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	16/sixteen	8/8	iv/four	two/2	one	25.4