3 3/4 Divided By 2

Fraction Reckoner

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

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Mixed Numbers Calculator

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Simplify Fractions Computer

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Decimal to Fraction Figurer

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Fraction to Decimal Reckoner

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Large Number Fraction Reckoner

Apply 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 total number of parts that brand up said whole. For example, in the fraction of

, the numerator is 3, and the denominator is eight. A more illustrative example could involve a pie with 8 slices. 1 of those viii 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 swallow 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 fraction undefined. Fractions tin can undergo many different operations, some of which are mentioned below.

Addition:

Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. One 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 sure to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction equally a whole. This is arguably the simplest style to ensure that the fractions have a common denominator. Notwithstanding, in most cases, the solutions to these equations will non announced in simplified form (the provided calculator computes the simplification automatically). Beneath is an case using this method.

This process can exist used for whatever number of fractions. Simply 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 problem.

An alternative method for finding a common denominator is to decide the least mutual multiple (LCM) for the denominators, then add or subtract the numerators as i would an integer. Using the least common multiple can be more efficient and is more likely to result in a fraction in simplified form. In the example in a higher place, the denominators were 4, 6, and 2. The least common multiple is the first shared multiple of these three numbers.

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

Multiples of 4: four, eight, 12

Multiples of 6: 6, 12

The outset 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, then add the numerators.

Subtraction:

Fraction subtraction is essentially the aforementioned equally fraction addition. A common denominator is required for the operation to occur. Refer to the improver department besides as the equations below for clarification.

Multiplication:

Multiplying fractions is fairly straightforward. Unlike calculation and subtracting, it 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 upshot forms a new numerator and denominator. If possible, the solution should be simplified. Refer to the equations below for clarification.

Partition:

The process for dividing fractions is similar to that for multiplying fractions. In society to dissever 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 description.

Simplification:

It is ofttimes easier to 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 course too equally mixed number grade. In both cases, fractions are presented in their everyman forms past dividing both numerator and denominator by their greatest common cistron.

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, all the same, require the understanding that each decimal place to the correct of the decimal bespeak represents a power of 10; the offset decimal identify being 10^one, the second 10², the third 10ⁱⁱⁱ, so on. Simply determine what power of 10 the decimal extends to, employ that power of 10 as the denominator, enter each number to the right of the decimal signal as the numerator, and simplify. For instance, looking at the number 0.1234, the number 4 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 factor betwixt the numerator and denominator is 2.

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

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

. Knowing that the first decimal place represents 10^-1,

tin can be converted to 0.5. If the fraction were instead

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

Common Engineering Fraction to Decimal Conversions

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

64^thursday	32^nd	xvi^thursday	8^th	four^th	ii^nd	Decimal	Decimal (inch to mm)
i/64						0.015625	0.396875
ii/64	1/32					0.03125	0.79375
3/64						0.046875	one.190625
4/64	2/32	1/16				0.0625	1.5875
5/64						0.078125	one.984375
half dozen/64	3/32					0.09375	2.38125
vii/64						0.109375	two.778125
8/64	iv/32	ii/16	1/8			0.125	iii.175
9/64						0.140625	three.571875
10/64	v/32					0.15625	3.96875
eleven/64						0.171875	4.365625
12/64	vi/32	3/16				0.1875	4.7625
thirteen/64						0.203125	5.159375
14/64	vii/32					0.21875	5.55625
xv/64						0.234375	five.953125
16/64	eight/32	4/16	2/8	1/iv		0.25	6.35
17/64						0.265625	6.746875
xviii/64	9/32					0.28125	7.14375
xix/64						0.296875	vii.540625
20/64	10/32	5/xvi				0.3125	7.9375
21/64						0.328125	viii.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	ix.128125
24/64	12/32	half dozen/16	3/eight			0.375	nine.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	eleven.90625
31/64						0.484375	12.303125
32/64	16/32	viii/sixteen	4/eight	2/4	1/ii	0.5	12.vii
33/64						0.515625	13.096875
34/64	17/32					0.53125	thirteen.49375
35/64						0.546875	thirteen.890625
36/64	xviii/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	ten/sixteen	5/8			0.625	xv.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/sixteen				0.6875	17.4625
45/64						0.703125	17.859375
46/64	23/32					0.71875	18.25625
47/64						0.734375	eighteen.653125
48/64	24/32	12/16	6/8	3/iv		0.75	19.05
49/64						0.765625	nineteen.446875
fifty/64	25/32					0.78125	19.84375
51/64						0.796875	20.240625
52/64	26/32	13/16				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	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
60/64	xxx/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	iv/4	2/2	ane	25.four

3 3/4 Divided By 2,

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

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