5 + 2 X 10

Fraction Reckoner

Below are multiple fraction calculators capable of add-on, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields in a higher place the solid black line represent the numerator, while fields below represent the denominator.

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Mixed Numbers Computer

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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 Calculator

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Large Number Fraction Computer

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 up said whole. For example, in the fraction of

, the numerator is three, and the denominator is eight. A more illustrative example could involve a pie with 8 slices. i 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 epitome to the correct. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions tin undergo many dissimilar operations, some of which are mentioned below.

Addition:

Unlike calculation and subtracting integers such as two and 8, 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 by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each private denominator. The numerators also need to be 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 most cases, the solutions to these equations volition not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.

This process can be used for whatsoever 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 respective denominator) in the trouble.

An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or decrease the numerators as one would an integer. Using the least common multiple tin can exist more efficient and is more than probable to result in a fraction in simplified course. In the example to a higher place, the denominators were 4, half-dozen, and 2. The to the lowest degree common multiple is the kickoff shared multiple of these three numbers.

Multiples of ii: ii, 4, 6, viii 10, 12

Multiples of 4: iv, 8, 12

Multiples of 6: half dozen, 12

The commencement multiple they all share is 12, and so this is the least common multiple. To consummate an add-on (or subtraction) problem, multiply the numerators and denominators of each fraction in the trouble past whatever value volition make the denominators 12, then add the numerators.

Subtraction:

Fraction subtraction is essentially the same as 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. Dissimilar adding and subtracting, it is not necessary to compute a common denominator in social club 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.

Division:

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

It is often easier to piece of work with simplified fractions. Every bit such, fraction solutions are normally expressed in their simplified forms.

for example, is more cumbersome than

. The figurer provided returns fraction inputs in both improper fraction form equally well equally mixed number form. In both cases, fractions are presented in their lowest forms past dividing both numerator and denominator by their greatest mutual factor.

Converting betwixt 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 signal represents a ability of 10; the first decimal place being x¹, the second ten², the 3rd ten³, then on. Simply determine what power of ten the decimal extends to, utilize that power of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For case, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 10^iv, 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 can be converted to powers of 10) tin can be translated to decimal form using the same principles. Have the fraction

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

. Knowing that the commencement decimal identify represents 10^-1,

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

64^th	32^nd	xvi^th	viii^thursday	four^th	two^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
ii/64	1/32					0.03125	0.79375
three/64						0.046875	ane.190625
4/64	2/32	one/xvi				0.0625	1.5875
5/64						0.078125	1.984375
6/64	3/32					0.09375	2.38125
7/64						0.109375	2.778125
8/64	4/32	2/16	1/viii			0.125	3.175
9/64						0.140625	three.571875
ten/64	5/32					0.15625	3.96875
xi/64						0.171875	iv.365625
12/64	6/32	3/16				0.1875	4.7625
13/64						0.203125	v.159375
14/64	vii/32					0.21875	5.55625
15/64						0.234375	5.953125
16/64	eight/32	four/16	2/8	1/four		0.25	6.35
17/64						0.265625	6.746875
18/64	9/32					0.28125	7.14375
nineteen/64						0.296875	7.540625
20/64	10/32	5/xvi				0.3125	seven.9375
21/64						0.328125	8.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	nine.128125
24/64	12/32	6/16	three/8			0.375	9.525
25/64						0.390625	9.921875
26/64	thirteen/32					0.40625	10.31875
27/64						0.421875	10.715625
28/64	14/32	seven/16				0.4375	11.1125
29/64						0.453125	11.509375
30/64	15/32					0.46875	xi.90625
31/64						0.484375	12.303125
32/64	16/32	8/xvi	4/8	2/iv	ane/two	0.5	12.vii
33/64						0.515625	13.096875
34/64	17/32					0.53125	thirteen.49375
35/64						0.546875	xiii.890625
36/64	xviii/32	nine/16				0.5625	xiv.2875
37/64						0.578125	14.684375
38/64	19/32					0.59375	fifteen.08125
39/64						0.609375	fifteen.478125
xl/64	20/32	ten/16	v/8			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	xi/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	vi/8	3/iv		0.75	19.05
49/64						0.765625	19.446875
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/sixteen	vii/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	thirty/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	8/viii	four/4	2/2	1	25.iv

5 + 2 X 10,

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

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