What Is 4 X 3

Fraction Calculator

Beneath are multiple fraction calculators capable of improver, subtraction, multiplication, partitioning, simplification, and conversion betwixt fractions and decimals. Fields to a higher place the solid black line stand for 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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Big Number Fraction Calculator

Use 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 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 make upwards said whole. For example, in the fraction of

, the numerator is iii, and the denominator is viii. A more illustrative instance could involve a pie with eight slices. ane 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 iii slices, the remaining fraction of the pie would therefore be

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

Add-on:

Unlike adding and subtracting integers such as 2 and viii, fractions crave 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 past the production 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 also need to be multiplied past 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 mutual denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided figurer computes the simplification automatically). Beneath is an example using this method.

This process can be used for any number of fractions. Only 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 respective denominator) in the problem.

An culling method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add together or subtract the numerators as ane would an integer. Using the least common multiple can be more than efficient and is more likely to consequence in a fraction in simplified course. In the example above, the denominators were 4, 6, and 2. The least common multiple is the starting time shared multiple of these iii numbers.

Multiples of 2: two, iv, 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 to the lowest degree common multiple. To consummate an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatever value volition brand the denominators 12, then add together the numerators.

Subtraction:

Fraction subtraction is essentially the same equally fraction addition. A mutual denominator is required for the functioning to occur. Refer to the addition section besides as the equations beneath for clarification.

Multiplication:

Multiplying fractions is fairly straightforward. Unlike calculation and subtracting, it is non necessary to compute a common denominator in lodge to multiply fractions. But, 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 below for description.

Division:

The procedure for dividing fractions is similar to that for multiplying fractions. In order to dissever 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 oft easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.

for case, is more cumbersome than

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

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, crave the understanding that each decimal place to the right of the decimal betoken represents a power of 10; the first decimal place existence x^ane, the second 10², the third 10³, and then on. Just determine what power of ten the decimal extends to, use that power of 10 as the denominator, enter each number to the correct of the decimal indicate equally the numerator, and simplify. For example, looking at the number 0.1234, the number iv 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 two.

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

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

. Knowing that the first decimal place represents x^-one,

can exist converted to 0.v. If the fraction were instead

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

Common Engineering Fraction to Decimal Conversions

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

64^th	32^nd	16^th	8^thursday	four^th	2^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
2/64	1/32					0.03125	0.79375
three/64						0.046875	i.190625
4/64	2/32	1/16				0.0625	ane.5875
v/64						0.078125	1.984375
6/64	3/32					0.09375	ii.38125
7/64						0.109375	two.778125
8/64	4/32	2/16	1/eight			0.125	iii.175
9/64						0.140625	3.571875
10/64	5/32					0.15625	3.96875
11/64						0.171875	four.365625
12/64	6/32	iii/xvi				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	eight/32	4/16	2/8	one/four		0.25	6.35
17/64						0.265625	6.746875
18/64	ix/32					0.28125	7.14375
xix/64						0.296875	vii.540625
twenty/64	x/32	5/16				0.3125	7.9375
21/64						0.328125	viii.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	9.128125
24/64	12/32	six/sixteen	iii/viii			0.375	ix.525
25/64						0.390625	ix.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	eleven.509375
thirty/64	15/32					0.46875	eleven.90625
31/64						0.484375	12.303125
32/64	xvi/32	8/16	4/eight	2/four	1/2	0.v	12.seven
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	x/16	v/viii			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/xvi	6/8	3/4		0.75	xix.05
49/64						0.765625	nineteen.446875
l/64	25/32					0.78125	19.84375
51/64						0.796875	20.240625
52/64	26/32	13/xvi				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/xvi	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	sixteen/16	viii/viii	4/four	2/2	1	25.4

What Is 4 X 3,

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