2/5 + 1/3 In Fraction

Fraction Computer

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields to a higher place the solid blackness line represent 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

Result

Calculation steps:

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Fraction to Decimal Reckoner

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Big Number Fraction Figurer

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

, the numerator is 3, and the denominator is 8. A more than 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 exist the denominator. If a person were to consume iii 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 can undergo many unlike operations, some of which are mentioned below.

Addition:

Unlike adding and subtracting integers such as two and 8, fractions require a common denominator to undergo these operations. I 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 individual denominator. The numerators too demand to be multiplied past 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 volition non appear in simplified grade (the provided calculator computes the simplification automatically). Below is an case using this method.

This process can be used for any number of fractions. But multiply the numerators and denominators of each fraction in the trouble by the production of the denominators of all the other fractions (not including its own corresponding denominator) in the problem.

An alternative method for finding a common denominator is to determine the to the lowest degree common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple tin can be more than efficient and is more likely to issue in a fraction in simplified form. In the example above, the denominators were 4, 6, and two. The least common multiple is the first shared multiple of these iii numbers.

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

Multiples of 4: 4, 8, 12

Multiples of 6: 6, 12

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

Subtraction:

Fraction subtraction is essentially the same equally fraction addition. A common denominator is required for the functioning to occur. Refer to the add-on section as well as the equations below for clarification.

Multiplication:

Multiplying fractions is fairly straightforward. Different adding and subtracting, it is not necessary to compute a common denominator in order 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 exist simplified. Refer to the equations below for description.

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 merely

. When a is a fraction, this essentially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction

would therefore exist

. Refer to the equations below for description.

Simplification:

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

for example, is more than cumbersome than

. The calculator provided returns fraction inputs in both improper fraction course too as mixed number class. In both cases, fractions are presented in their everyman forms by dividing both numerator and denominator by their greatest common cistron.

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 point represents a ability of 10; the get-go decimal place existence 10^one, the second x², the third x^three, and and so on. Just determine what power of x the decimal extends to, apply that power of 10 equally the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes x⁴, or x,000. This would make the fraction

, which simplifies to

, since the greatest mutual 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 exist translated to decimal form using the same principles. Take the fraction

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

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

can be converted to 0.5. If the fraction were instead

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

Common Engineering Fraction to Decimal Conversions

In engineering, 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^th	viii^th	iv^th	two^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
2/64	1/32					0.03125	0.79375
iii/64						0.046875	1.190625
4/64	2/32	ane/16				0.0625	one.5875
5/64						0.078125	i.984375
6/64	3/32					0.09375	ii.38125
7/64						0.109375	2.778125
8/64	4/32	two/16	1/8			0.125	3.175
9/64						0.140625	3.571875
10/64	5/32					0.15625	three.96875
eleven/64						0.171875	4.365625
12/64	6/32	iii/16				0.1875	4.7625
13/64						0.203125	5.159375
14/64	seven/32					0.21875	5.55625
15/64						0.234375	five.953125
16/64	8/32	4/sixteen	2/8	1/4		0.25	half dozen.35
17/64						0.265625	6.746875
eighteen/64	9/32					0.28125	7.14375
19/64						0.296875	vii.540625
twenty/64	x/32	5/16				0.3125	7.9375
21/64						0.328125	8.334375
22/64	xi/32					0.34375	8.73125
23/64						0.359375	nine.128125
24/64	12/32	six/16	iii/8			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	xi.90625
31/64						0.484375	12.303125
32/64	sixteen/32	8/xvi	4/8	2/4	1/2	0.5	12.seven
33/64						0.515625	thirteen.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	nineteen/32					0.59375	15.08125
39/64						0.609375	xv.478125
forty/64	xx/32	ten/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/xvi				0.6875	17.4625
45/64						0.703125	17.859375
46/64	23/32					0.71875	18.25625
47/64						0.734375	xviii.653125
48/64	24/32	12/16	6/8	3/four		0.75	19.05
49/64						0.765625	xix.446875
50/64	25/32					0.78125	xix.84375
51/64						0.796875	20.240625
52/64	26/32	thirteen/16				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	fourteen/sixteen	7/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
sixty/64	30/32	15/xvi				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	2/2	one	25.4