2 3/4 As A Fraction

Fraction Computer

Below are multiple fraction calculators capable of improver, subtraction, multiplication, sectionalisation, simplification, and conversion between fractions and decimals. Fields in a higher place the solid black line stand for the numerator, while fields below correspond the denominator.

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Mixed Numbers Figurer

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Simplify Fractions Estimator

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Decimal to Fraction Calculator

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Fraction to Decimal Calculator

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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. Information technology 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 case, in the fraction of

, the numerator is 3, and the denominator is eight. A more illustrative instance could involve a pie with eight slices. one 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 swallow three slices, the remaining fraction of the pie would therefore be

as shown in the image to the right. Annotation that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions tin can undergo many unlike operations, some of which are mentioned below.

Add-on:

Unlike adding and subtracting integers such as 2 and 8, fractions require 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 demand to be multiplied past the advisable factors to preserve the value of the fraction as a whole. This is arguably the simplest mode to ensure that the fractions take a common denominator. However, in most cases, the solutions to these equations will non appear in simplified class (the provided calculator computes the simplification automatically). Below is an example using this method.

This process tin can be used for whatever number of fractions. Just multiply the numerators and denominators of each fraction in the problem past the product of the denominators of all the other fractions (not including its own respective denominator) in the problem.

An alternative method for finding a mutual denominator is to determine the least mutual multiple (LCM) for the denominators, then add or decrease the numerators as one would an integer. Using the least common multiple can be more efficient and is more likely to result in a fraction in simplified class. In the example higher up, the denominators were 4, 6, and 2. The least mutual multiple is the first shared multiple of these three numbers.

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

Multiples of iv: four, viii, 12

Multiples of 6: 6, 12

The first multiple they all share is 12, so this is the to the lowest degree common multiple. To complete an add-on (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 add-on. A common denominator is required for the performance to occur. Refer to the improver section also as the equations below for clarification.

Multiplication:

Multiplying fractions is adequately straightforward. Unlike adding and subtracting, it is not necessary to compute a common denominator in order to multiply fractions. But, 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 clarification.

Sectionalization:

The process for dividing fractions is similar to that for multiplying fractions. In social club 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 just

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

would therefore be

. Refer to the equations beneath for clarification.

Simplification:

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

for example, is more cumbersome than

. The calculator provided returns fraction inputs in both improper fraction class likewise as mixed number grade. 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, still, require the understanding that each decimal identify to the correct of the decimal point represents a power of 10; the commencement decimal place being 10ⁱ, the second 10ⁱⁱ, the tertiary 10³, and so on. Simply determine what ability of 10 the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal betoken equally the numerator, and simplify. For instance, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 10^iv, or ten,000. This would make the fraction

, which simplifies to

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

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

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

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

can be converted to 0.5. If the fraction were instead

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

Common Technology Fraction to Decimal Conversions

In technology, fractions are widely used to describe the size of components such equally pipes and bolts. The nearly common partial and decimal equivalents are listed below.

64^th	32^nd	16^th	8^th	four^th	ii^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	1.984375
6/64	3/32					0.09375	2.38125
7/64						0.109375	2.778125
8/64	4/32	ii/xvi	1/8			0.125	three.175
9/64						0.140625	3.571875
10/64	5/32					0.15625	3.96875
11/64						0.171875	4.365625
12/64	six/32	three/16				0.1875	4.7625
thirteen/64						0.203125	5.159375
14/64	7/32					0.21875	5.55625
15/64						0.234375	5.953125
sixteen/64	8/32	iv/sixteen	two/8	1/four		0.25	6.35
17/64						0.265625	half-dozen.746875
xviii/64	ix/32					0.28125	7.14375
19/64						0.296875	7.540625
20/64	10/32	five/16				0.3125	7.9375
21/64						0.328125	eight.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	nine.128125
24/64	12/32	vi/16	3/8			0.375	9.525
25/64						0.390625	ix.921875
26/64	13/32					0.40625	x.31875
27/64						0.421875	x.715625
28/64	14/32	7/16				0.4375	11.1125
29/64						0.453125	11.509375
thirty/64	15/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	8/16	4/eight	2/4	ane/2	0.5	12.7
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
40/64	20/32	10/16	five/eight			0.625	fifteen.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	xviii.25625
47/64						0.734375	18.653125
48/64	24/32	12/16	half dozen/8	3/4		0.75	19.05
49/64						0.765625	19.446875
50/64	25/32					0.78125	19.84375
51/64						0.796875	xx.240625
52/64	26/32	xiii/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	14/sixteen	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
threescore/64	xxx/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/sixteen	8/eight	4/4	2/2	1	25.four

2 3/4 As A Fraction,

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