1 017.36 Divided By 3.14

Fraction Calculator

Beneath are multiple fraction calculators capable of addition, subtraction, multiplication, sectionalization, simplification, and conversion betwixt fractions and decimals. Fields above the solid black line represent the numerator, while fields below stand for the denominator.

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Mixed Numbers Calculator

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Simplify Fractions Calculator

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Decimal to Fraction Calculator

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Fraction to Decimal Computer

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Big Number Fraction Calculator

Employ 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 function 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 8. A more than illustrative example could involve a pie with 8 slices. i of those eight slices would institute 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 3 slices, the remaining fraction of the pie would therefore be

equally shown in the paradigm to the correct. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.

Addition:

Unlike adding and subtracting integers such as ii and 8, fractions require a common denominator to undergo these operations. One method for finding a common 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 exist a multiple of each individual denominator. The numerators also need 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 mutual denominator. However, in most cases, the solutions to these equations volition not appear in simplified course (the provided calculator computes the simplification automatically). Beneath is an instance using this method.

This procedure tin be used for any number of fractions. Just multiply the numerators and denominators of each fraction in the trouble 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 common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the to the lowest degree common multiple can exist more efficient and is more likely to upshot in a fraction in simplified form. In the instance in a higher place, the denominators were 4, half dozen, and ii. The to the lowest degree mutual multiple is the first shared multiple of these three numbers.

Multiples of 2: ii, iv, half dozen, 8 10, 12

Multiples of 4: iv, 8, 12

Multiples of 6: half dozen, 12

The kickoff multiple they all share is 12, and so 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 whatever value will make the denominators 12, then add the numerators.

Subtraction:

Fraction subtraction is essentially the same as fraction addition. A mutual denominator is required for the operation to occur. Refer to the addition section every bit well as the equations below for description.

Multiplication:

Multiplying fractions is fairly straightforward. Unlike 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 clarification.

Segmentation:

The procedure for dividing fractions is similar to that for multiplying fractions. In club to carve 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 substantially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction

would therefore be

. Refer to the equations below for description.

Simplification:

Information technology is often easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.

for example, is more than cumbersome than

. The calculator provided returns fraction inputs in both improper fraction form too as mixed number form. In both cases, fractions are presented in their lowest forms past dividing both numerator and denominator by their greatest mutual gene.

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, yet, require the agreement that each decimal identify to the right of the decimal point represents a power of ten; the first decimal identify existence xⁱ, the second ten², the third xⁱⁱⁱ, and then on. But determine what ability of 10 the decimal extends to, use that power of x as 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 4th decimal place, which constitutes 10⁴, or 10,000. This would brand 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 can exist converted to powers of 10) tin exist translated to decimal form using the aforementioned principles. Have the fraction

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

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

tin 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 partition.

Common Engineering Fraction to Decimal Conversions

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

64^th	32^nd	sixteen^th	8^th	4^th	2^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
2/64	1/32					0.03125	0.79375
3/64						0.046875	1.190625
four/64	two/32	1/16				0.0625	1.5875
5/64						0.078125	1.984375
6/64	iii/32					0.09375	2.38125
7/64						0.109375	two.778125
8/64	4/32	2/16	1/8			0.125	three.175
9/64						0.140625	3.571875
10/64	five/32					0.15625	three.96875
11/64						0.171875	iv.365625
12/64	6/32	3/16				0.1875	4.7625
13/64						0.203125	5.159375
xiv/64	7/32					0.21875	v.55625
15/64						0.234375	5.953125
16/64	8/32	4/16	2/viii	1/4		0.25	6.35
17/64						0.265625	6.746875
18/64	9/32					0.28125	7.14375
19/64						0.296875	seven.540625
20/64	ten/32	5/16				0.3125	seven.9375
21/64						0.328125	8.334375
22/64	11/32					0.34375	eight.73125
23/64						0.359375	9.128125
24/64	12/32	6/sixteen	3/8			0.375	9.525
25/64						0.390625	9.921875
26/64	13/32					0.40625	ten.31875
27/64						0.421875	10.715625
28/64	14/32	7/16				0.4375	11.1125
29/64						0.453125	xi.509375
thirty/64	15/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	8/xvi	iv/8	2/4	1/2	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	xviii/32	nine/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	xx/32	10/sixteen	5/8			0.625	15.875
41/64						0.640625	xvi.271875
42/64	21/32					0.65625	xvi.66875
43/64						0.671875	17.065625
44/64	22/32	11/sixteen				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	12/16	6/8	3/four		0.75	19.05
49/64						0.765625	19.446875
fifty/64	25/32					0.78125	nineteen.84375
51/64						0.796875	20.240625
52/64	26/32	xiii/16				0.8125	twenty.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	7/8			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	30/32	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	sixteen/sixteen	viii/viii	4/iv	ii/2	one	25.4