7 8 Plus 7 8

Fraction Calculator

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields higher up the solid blackness line stand for 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 Reckoner

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Calculation steps:

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Fraction to Decimal Calculator

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Large Number Fraction Calculator

Use this computer if the numerators or denominators are very big integers.

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In mathematics, a fraction is a number that represents a office 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 3, and the denominator is eight. A more than illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of eight slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be

as shown in the prototype to the right. Note that the denominator of a fraction cannot be 0, equally it would brand the fraction undefined. Fractions can undergo many dissimilar operations, some of which are mentioned below.

Addition:

Unlike adding and subtracting integers such as 2 and eight, fractions crave a mutual 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 certain to be a multiple of each individual denominator. The numerators as well 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. Nevertheless, in most cases, the solutions to these equations volition non appear in simplified form (the provided computer computes the simplification automatically). Below is an example using this method.

This procedure can be used for any number of fractions. Just multiply the numerators and denominators of each fraction in the trouble by the production of the denominators of all the other fractions (non including its own corresponding denominator) in the problem.

An alternative 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 one would an integer. Using the least common multiple tin can exist more 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 to the lowest degree common multiple is the first shared multiple of these three numbers.

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

Multiples of 4: four, 8, 12

Multiples of half dozen: 6, 12

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

Subtraction:

Fraction subtraction is essentially the aforementioned equally fraction improver. A mutual denominator is required for the operation to occur. Refer to the addition department likewise equally the equations below for clarification.

Multiplication:

Multiplying fractions is fairly straightforward. Unlike calculation and subtracting, it is not necessary to compute a common denominator in society to multiply fractions. Just, 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.

Division:

The process for dividing fractions is similar to that for multiplying fractions. In order to divide 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 piece of work with simplified fractions. As such, fraction solutions are usually expressed in their simplified forms.

for instance, is more than cumbersome than

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

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, require the agreement that each decimal place to the right of the decimal signal represents a power of 10; the showtime decimal place beingness 10¹, the 2nd 10ⁱⁱ, the third ten³, and so on. Just determine what ability of x the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal point equally the numerator, and simplify. For example, looking at the number 0.1234, the number iv is in the fourth decimal place, which constitutes 10^four, or 10,000. This would make the fraction

, which simplifies to

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

Similarly, fractions with denominators that are powers of x (or tin can be converted to powers of ten) tin be translated to decimal form using the same principles. Take the fraction

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

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

can be converted to 0.5. If the fraction were instead

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

Common Applied science Fraction to Decimal Conversions

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

64^th	32^nd	xvi^th	8^th	4^th	2^nd	Decimal	Decimal (inch to mm)
one/64						0.015625	0.396875
two/64	ane/32					0.03125	0.79375
3/64						0.046875	1.190625
iv/64	ii/32	ane/xvi				0.0625	ane.5875
5/64						0.078125	1.984375
half-dozen/64	3/32					0.09375	two.38125
seven/64						0.109375	2.778125
8/64	4/32	2/16	1/8			0.125	three.175
9/64						0.140625	3.571875
x/64	v/32					0.15625	3.96875
eleven/64						0.171875	iv.365625
12/64	6/32	3/16				0.1875	four.7625
13/64						0.203125	5.159375
xiv/64	seven/32					0.21875	v.55625
xv/64						0.234375	five.953125
16/64	eight/32	iv/16	2/8	i/4		0.25	half-dozen.35
17/64						0.265625	6.746875
xviii/64	ix/32					0.28125	seven.14375
19/64						0.296875	7.540625
20/64	10/32	5/16				0.3125	vii.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	vi/16	3/8			0.375	9.525
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	xi.1125
29/64						0.453125	11.509375
xxx/64	15/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	xvi/32	8/sixteen	4/viii	2/4	1/two	0.5	12.vii
33/64						0.515625	13.096875
34/64	17/32					0.53125	thirteen.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
forty/64	20/32	10/xvi	5/8			0.625	15.875
41/64						0.640625	xvi.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	iii/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	thirteen/sixteen				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	7/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
60/64	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	16/16	8/viii	4/4	2/two	1	25.four

7 8 Plus 7 8,

Source: https://www.calculator.net/fraction-calculator.html?c2d1=7.2&ctype=2&x=0&y=0

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