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Fraction Figurer

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

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Mixed Numbers Calculator

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Simplify Fractions Calculator

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Decimal to Fraction Calculator

Consequence

Adding steps:

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Fraction to Decimal Estimator

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Big Number Fraction Reckoner

Use this figurer 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 upward said whole. For example, in the fraction of

, the numerator is 3, and the denominator is 8. 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 exist the denominator. If a person were to swallow three slices, the remaining fraction of the pie would therefore be

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

Add-on:

Unlike calculation and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. One 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 also need to exist multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in virtually cases, the solutions to these equations volition not announced in simplified form (the provided estimator computes the simplification automatically). Below is an example using this method.

This process tin be used for any number of fractions. Just 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 make up one's mind the least common multiple (LCM) for the denominators, and so add or subtract the numerators as one would an integer. Using the least common multiple can be more efficient and is more likely to effect in a fraction in simplified form. In the case above, the denominators were iv, half-dozen, and 2. The to the lowest degree common multiple is the first shared multiple of these 3 numbers.

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

Multiples of iv: 4, eight, 12

Multiples of half-dozen: six, 12

The first multiple they all share is 12, and then this is the least common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the trouble by whatever value will make the denominators 12, then add the numerators.

Subtraction:

Fraction subtraction is essentially the same as fraction improver. A common denominator is required for the functioning to occur. Refer to the improver section as well as the equations below for clarification.

Multiplication:

Multiplying fractions is fairly straightforward. Dissimilar adding and subtracting, it is not necessary to compute a common denominator in club 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 be simplified. Refer to the equations below for clarification.

Segmentation:

The process for dividing fractions is like to that for multiplying fractions. In order to separate 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 frequently 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 besides equally mixed number form. In both cases, fractions are presented in their everyman forms past dividing both numerator and denominator by their greatest common factor.

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, withal, require the understanding that each decimal identify to the right of the decimal point represents a ability of 10; the first decimal place being 10¹, the 2nd 10², the third 10ⁱⁱⁱ, and so on. Merely decide what power of 10 the decimal extends to, use that power of x equally the denominator, enter each number to the correct of the decimal point 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^iv, or 10,000. This would brand 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) tin can be translated to decimal form using the aforementioned principles. Take the fraction

for example. To convert this fraction into a decimal, outset catechumen information technology into the fraction of

. Knowing that the beginning decimal place represents ten^-i,

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

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

Mutual Engineering science Fraction to Decimal Conversions

In engineering, fractions are widely used to draw the size of components such every bit pipes and bolts. The most mutual partial and decimal equivalents are listed beneath.

64th	32nd	16thursday	8th	4thursday	twond	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/16				0.0625	ane.5875
five/64						0.078125	one.984375
6/64	three/32					0.09375	2.38125
seven/64						0.109375	2.778125
8/64	4/32	2/16	ane/8			0.125	iii.175
9/64						0.140625	3.571875
ten/64	five/32					0.15625	3.96875
11/64						0.171875	4.365625
12/64	half dozen/32	3/sixteen				0.1875	4.7625
thirteen/64						0.203125	5.159375
fourteen/64	7/32					0.21875	5.55625
15/64						0.234375	five.953125
xvi/64	8/32	4/16	2/viii	i/iv		0.25	6.35
17/64						0.265625	half dozen.746875
18/64	ix/32					0.28125	7.14375
19/64						0.296875	vii.540625
20/64	x/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	six/sixteen	3/8			0.375	ix.525
25/64						0.390625	9.921875
26/64	13/32					0.40625	10.31875
27/64						0.421875	x.715625
28/64	14/32	7/16				0.4375	11.1125
29/64						0.453125	11.509375
30/64	xv/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	sixteen/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	eighteen/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	twenty/32	10/16	5/viii			0.625	15.875
41/64						0.640625	sixteen.271875
42/64	21/32					0.65625	xvi.66875
43/64						0.671875	17.065625
44/64	22/32	11/xvi				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/eight	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	xx.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/sixteen				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	xvi/16	8/8	4/4	ii/ii	1	25.4

1 3/8 X 1 1/2,

Source: https://www.calculator.net/fraction-calculator.html?c2d1=1.2&ctype=2&x=0&y=0

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