2 2/3 X 4 1/5

Fraction Computer

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

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Mixed Numbers Calculator

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Simplify Fractions Reckoner

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Decimal to Fraction Calculator

Result

Calculation steps:

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Fraction to Decimal Figurer

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Big Number Fraction Calculator

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

, the numerator is 3, and the denominator is 8. A more illustrative case could involve a pie with eight slices. ane of those eight slices would constitute the numerator of a fraction, while the full of 8 slices that comprises the whole pie would exist the denominator. If a person were to consume 3 slices, the remaining fraction of the pie would therefore exist

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 can undergo many unlike operations, some of which are mentioned below.

Improver:

Unlike adding and subtracting integers such equally 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 past the product 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 as well demand to be multiplied by the appropriate factors to preserve the value of the fraction equally a whole. 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 not appear in simplified course (the provided calculator computes the simplification automatically). Below is an instance using this method.

This procedure tin be used for whatever number of fractions. Just multiply the numerators and denominators of each fraction in the problem by the product of the denominators of all the other fractions (not including its own corresponding denominator) in the trouble.

An culling method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators equally one would an integer. Using the least common multiple tin be more efficient and is more than likely to result in a fraction in simplified class. In the example above, the denominators were iv, 6, and ii. The to the lowest degree common multiple is the showtime shared multiple of these iii numbers.

Multiples of 2: 2, 4, 6, eight x, 12

Multiples of 4: 4, 8, 12

Multiples of 6: 6, 12

The offset multiple they all share is 12, and then this is the least mutual multiple. To consummate an improver (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 same as fraction improver. A common denominator is required for the operation to occur. Refer to the improver department every bit well as the equations below for description.

Multiplication:

Multiplying fractions is adequately straightforward. Unlike adding and subtracting, it is non necessary to compute a common denominator in lodge 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 below for clarification.

Segmentation:

The procedure for dividing fractions is like to that for multiplying fractions. In society to split up 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 often 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 form likewise as mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator past their greatest mutual factor.

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. Information technology does, withal, require the understanding that each decimal identify to the right of the decimal point represents a ability of 10; the beginning decimal place being 10^one, the second 10², the tertiary x³, and so on. Simply determine what power of x the decimal extends to, use that power of 10 as 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 4 is in the quaternary decimal place, which constitutes 10⁴, or 10,000. This would brand the fraction

, which simplifies to

, since the greatest mutual factor between the numerator and denominator is 2.

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

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

. Knowing that the first decimal identify represents 10^-ane,

tin be converted to 0.5. If the fraction were instead

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

Common Engineering Fraction to Decimal Conversions

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

64^th	32^nd	16^thursday	8^th	4^th	2^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
2/64	ane/32					0.03125	0.79375
3/64						0.046875	ane.190625
4/64	2/32	ane/16				0.0625	1.5875
5/64						0.078125	1.984375
vi/64	3/32					0.09375	2.38125
7/64						0.109375	ii.778125
8/64	4/32	2/16	ane/8			0.125	iii.175
9/64						0.140625	3.571875
10/64	five/32					0.15625	three.96875
11/64						0.171875	four.365625
12/64	six/32	3/sixteen				0.1875	4.7625
thirteen/64						0.203125	5.159375
14/64	vii/32					0.21875	5.55625
fifteen/64						0.234375	5.953125
xvi/64	8/32	iv/16	2/8	one/4		0.25	6.35
17/64						0.265625	6.746875
eighteen/64	9/32					0.28125	seven.14375
19/64						0.296875	7.540625
20/64	10/32	5/xvi				0.3125	7.9375
21/64						0.328125	8.334375
22/64	11/32					0.34375	viii.73125
23/64						0.359375	nine.128125
24/64	12/32	6/xvi	3/eight			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	fourteen/32	vii/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	xvi/32	8/xvi	4/8	2/four	i/2	0.5	12.vii
33/64						0.515625	13.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	13.890625
36/64	18/32	ix/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
xl/64	twenty/32	10/16	v/8			0.625	15.875
41/64						0.640625	xvi.271875
42/64	21/32					0.65625	sixteen.66875
43/64						0.671875	17.065625
44/64	22/32	xi/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/sixteen	half-dozen/8	iii/4		0.75	nineteen.05
49/64						0.765625	19.446875
50/64	25/32					0.78125	nineteen.84375
51/64						0.796875	twenty.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	xiv/16	vii/eight			0.875	22.225
57/64						0.890625	22.621875
58/64	29/32					0.90625	23.01875
59/64						0.921875	23.415625
lx/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	16/16	8/eight	4/4	2/ii	1	25.4

2 2/3 X 4 1/5,

Source: https://www.calculator.net/fraction-calculator.html?c2d1=1.5&ctype=2&x=0&y=0

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