12 Divided By 1 6

Fraction Calculator

Beneath 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 correspond the denominator.

			=	?

				?

Mixed Numbers Calculator

			= ?

Simplify Fractions Computer

		= ?

Decimal to Fraction Figurer

=	?

	?

Fraction to Decimal Computer

	= ?

Large Number Fraction Calculator

Employ this computer if the numerators or denominators are very large integers.

			= ?

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 up said whole. For case, in the fraction of

, the numerator is three, and the denominator is 8. A more illustrative example could involve a pie with 8 slices. one of those 8 slices would institute the numerator of a fraction, while the total of eight slices that comprises the whole pie would exist the denominator. If a person were to swallow 3 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 exist 0, as information technology would make the fraction undefined. Fractions can undergo many unlike operations, some of which are mentioned below.

Add-on:

Unlike calculation and subtracting integers such equally ii and 8, fractions require 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 production 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 also need to be multiplied by the appropriate factors to preserve the value of the fraction every bit a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. Still, in about cases, the solutions to these equations will not announced in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.

This procedure can be used for whatsoever number of fractions. Just multiply the numerators and denominators of each fraction in the trouble 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 make up one's mind the least common multiple (LCM) for the denominators, then add or decrease the numerators as one would an integer. Using the least common multiple can be more than efficient and is more likely to result in a fraction in simplified class. In the example above, the denominators were 4, 6, and two. The to the lowest degree common multiple is the first shared multiple of these three numbers.

Multiples of 2: ii, iv, six, 8 10, 12

Multiples of iv: 4, 8, 12

Multiples of 6: 6, 12

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

Subtraction:

Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the performance to occur. Refer to the addition section as well as the equations below for clarification.

Multiplication:

Multiplying fractions is adequately straightforward. Unlike calculation and subtracting, information technology is not necessary to compute a mutual denominator in gild 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 be simplified. Refer to the equations below for clarification.

Segmentation:

The process for dividing fractions is like to that for multiplying fractions. In order to dissever 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 exist

. Refer to the equations below for clarification.

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 every bit well as mixed number class. In both cases, fractions are presented in their lowest forms past dividing both numerator and denominator by their greatest common factor.

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, yet, crave the understanding that each decimal place to the correct of the decimal point represents a power of 10; the first decimal place beingness ten¹, the second 10^two, the third 10ⁱⁱⁱ, and so on. Simply determine what power of 10 the decimal extends to, use that power of 10 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 10⁴, 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 10 (or tin can be converted to powers of 10) can be translated to decimal form using the same principles. Take the fraction

for instance. To catechumen this fraction into a decimal, starting time convert information technology into the fraction of

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

can be converted to 0.v. If the fraction were instead

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

Common Engineering science Fraction to Decimal Conversions

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

64^th	32^nd	16^th	8^th	4^thursday	2^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
two/64	1/32					0.03125	0.79375
3/64						0.046875	1.190625
4/64	two/32	one/16				0.0625	1.5875
v/64						0.078125	1.984375
six/64	iii/32					0.09375	2.38125
7/64						0.109375	two.778125
viii/64	4/32	two/16	1/8			0.125	3.175
9/64						0.140625	3.571875
10/64	5/32					0.15625	3.96875
11/64						0.171875	4.365625
12/64	6/32	iii/xvi				0.1875	4.7625
13/64						0.203125	5.159375
14/64	seven/32					0.21875	v.55625
fifteen/64						0.234375	5.953125
sixteen/64	8/32	4/16	2/8	1/4		0.25	six.35
17/64						0.265625	6.746875
18/64	9/32					0.28125	7.14375
19/64						0.296875	7.540625
twenty/64	x/32	5/16				0.3125	7.9375
21/64						0.328125	8.334375
22/64	eleven/32					0.34375	8.73125
23/64						0.359375	nine.128125
24/64	12/32	6/16	iii/8			0.375	9.525
25/64						0.390625	nine.921875
26/64	xiii/32					0.40625	10.31875
27/64						0.421875	10.715625
28/64	fourteen/32	vii/xvi				0.4375	xi.1125
29/64						0.453125	eleven.509375
30/64	xv/32					0.46875	xi.90625
31/64						0.484375	12.303125
32/64	xvi/32	8/xvi	4/eight	ii/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	eighteen/32	ix/16				0.5625	14.2875
37/64						0.578125	14.684375
38/64	19/32					0.59375	fifteen.08125
39/64						0.609375	fifteen.478125
40/64	20/32	10/16	5/8			0.625	xv.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	eleven/16				0.6875	17.4625
45/64						0.703125	17.859375
46/64	23/32					0.71875	eighteen.25625
47/64						0.734375	xviii.653125
48/64	24/32	12/16	6/viii	3/iv		0.75	nineteen.05
49/64						0.765625	xix.446875
l/64	25/32					0.78125	19.84375
51/64						0.796875	twenty.240625
52/64	26/32	thirteen/xvi				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	14/16	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
lx/64	thirty/32	fifteen/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/16	8/eight	four/iv	ii/2	1	25.4

12 Divided By 1 6,

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

Posted by: friersonjustitingich1966.blogspot.com