6 Divided By 1 1/2

Fraction Reckoner

Below are multiple fraction calculators capable of addition, 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 Calculator

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Simplify Fractions Calculator

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Decimal to Fraction Reckoner

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Fraction to Decimal Computer

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Large Number Fraction Reckoner

Apply this reckoner if the numerators or denominators are very big integers.

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In mathematics, a fraction is a number that represents a role 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 up said whole. For example, in the fraction of

, the numerator is 3, and the denominator is eight. A more illustrative example could involve a pie with 8 slices. i of those eight slices would constitute the numerator of a fraction, while the total of viii slices that comprises the whole pie would exist the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be

every bit shown in the image to the right. Note that the denominator of a fraction cannot be 0, every bit information technology would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned beneath.

Addition:

Unlike adding and subtracting integers such as 2 and viii, fractions require a mutual 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 sure to be a multiple of each individual denominator. The numerators likewise need to be multiplied past the advisable factors to preserve the value of the fraction every bit a whole. This is arguably the simplest style to ensure that the fractions have a mutual denominator. Yet, 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 any number of fractions. Merely multiply the numerators and denominators of each fraction in the problem by the product of the denominators of all the other fractions (non 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, so add or decrease the numerators as i would an integer. Using the least common multiple can be more efficient and is more probable to outcome in a fraction in simplified class. In the example above, the denominators were iv, half-dozen, and 2. The to the lowest degree common multiple is the first shared multiple of these iii numbers.

Multiples of ii: 2, 4, 6, viii 10, 12

Multiples of 4: 4, viii, 12

Multiples of 6: 6, 12

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

Subtraction:

Fraction subtraction is substantially the same as fraction add-on. A mutual denominator is required for the operation to occur. Refer to the add-on department equally well every bit the equations below for clarification.

Multiplication:

Multiplying fractions is fairly straightforward. Unlike adding and subtracting, information technology is not necessary to compute a mutual 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 be simplified. Refer to the equations below for clarification.

Division:

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

. Refer to the equations beneath for description.

Simplification:

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

for case, is more cumbersome than

. The calculator provided returns fraction inputs in both improper fraction form also every bit mixed number form. In both cases, fractions are presented in their everyman forms past dividing both numerator and denominator by their greatest mutual factor.

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the correct of the decimal point represents a power of 10; the first decimal place existence tenⁱ, the 2d ten², the 3rd ten³, so on. Merely make up one's mind what power 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 fourth decimal place, which constitutes ten^four, or 10,000. 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 ten (or tin can be converted to powers of 10) can be translated to decimal form using the same principles. Take the fraction

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

. Knowing that the start decimal place represents ten^-one,

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 functioning of long division.

Common Engineering Fraction to Decimal Conversions

In engineering, fractions are widely used to describe the size of components such every bit pipes and bolts. The most mutual partial and decimal equivalents are listed beneath.

64^th	32^nd	sixteen^thursday	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	one.190625
4/64	2/32	1/16				0.0625	1.5875
5/64						0.078125	1.984375
6/64	3/32					0.09375	ii.38125
vii/64						0.109375	two.778125
viii/64	4/32	2/xvi	i/eight			0.125	iii.175
9/64						0.140625	3.571875
10/64	5/32					0.15625	3.96875
11/64						0.171875	4.365625
12/64	vi/32	3/16				0.1875	4.7625
13/64						0.203125	five.159375
xiv/64	7/32					0.21875	5.55625
xv/64						0.234375	5.953125
sixteen/64	8/32	four/16	ii/8	1/4		0.25	6.35
17/64						0.265625	six.746875
18/64	9/32					0.28125	7.14375
19/64						0.296875	7.540625
20/64	ten/32	five/16				0.3125	seven.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	6/16	3/8			0.375	9.525
25/64						0.390625	9.921875
26/64	13/32					0.40625	x.31875
27/64						0.421875	x.715625
28/64	14/32	seven/16				0.4375	eleven.1125
29/64						0.453125	11.509375
30/64	xv/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	eight/16	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	18/32	9/xvi				0.5625	xiv.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	5/8			0.625	15.875
41/64						0.640625	16.271875
42/64	21/32					0.65625	sixteen.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	eighteen.653125
48/64	24/32	12/16	half-dozen/viii	three/4		0.75	19.05
49/64						0.765625	19.446875
fifty/64	25/32					0.78125	19.84375
51/64						0.796875	20.240625
52/64	26/32	13/16				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/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
lx/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	xvi/xvi	8/8	4/4	2/ii	ane	25.4

6 Divided By 1 1/2,

Source: https://www.calculator.net/fraction-calculator.html

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