11 Divided By 3 2/3

Fraction Calculator

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

			=	?

				?

Mixed Numbers Calculator

			= ?

Simplify Fractions Reckoner

		= ?

Decimal to Fraction Calculator

=	?

	?

Fraction to Decimal Figurer

	= ?

Large Number Fraction Figurer

Utilise this figurer if the numerators or denominators are very big 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 instance, 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. 1 of those viii 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 epitome to the right. Annotation that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many unlike operations, some of which are mentioned below.

Add-on:

Unlike adding and subtracting integers such as two and 8, fractions require a common denominator to undergo these operations. 1 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 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 every bit a whole. This is arguably the simplest way to ensure that the fractions have a mutual denominator. All the same, in about cases, the solutions to these equations will not appear in simplified form (the provided reckoner 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 by 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 make up one's mind the least common multiple (LCM) for the denominators, then add or subtract the numerators equally one would an integer. Using the least common multiple tin can exist more efficient and is more likely to result in a fraction in simplified class. In the case above, the denominators were 4, 6, and 2. The least mutual multiple is the first shared multiple of these three numbers.

Multiples of two: two, iv, six, 8 10, 12

Multiples of 4: four, 8, 12

Multiples of 6: 6, 12

The first 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 trouble by whatever value will make the denominators 12, then add together the numerators.

Subtraction:

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

Multiplication:

Multiplying fractions is fairly straightforward. Unlike calculation and subtracting, information technology is non necessary to compute a mutual 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 be simplified. Refer to the equations below for description.

Sectionalization:

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 merely

. 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 beneath for clarification.

Simplification:

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

for case, is more cumbersome than

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

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, yet, require the understanding that each decimal place to the right of the decimal point represents a power of ten; the first decimal identify existence x¹, the second 10^two, the tertiary x³, so on. Simply decide what power of 10 the decimal extends to, use that power of x every bit 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 four is in the quaternary decimal place, which constitutes 10^iv, or 10,000. This would make the fraction

, which simplifies to

, since the greatest common factor betwixt the numerator and denominator is ii.

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

for instance. To convert this fraction into a decimal, first convert information technology into the fraction of

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

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

, the decimal would so be 0.05, then on. Across this, converting fractions into decimals requires the operation of long segmentation.

Common Engineering Fraction to Decimal Conversions

In technology, fractions are widely used to describe the size of components such equally pipes and bolts. The about mutual fractional and decimal equivalents are listed beneath.

64^th	32^nd	16^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
three/64						0.046875	1.190625
four/64	2/32	1/16				0.0625	1.5875
v/64						0.078125	one.984375
half dozen/64	3/32					0.09375	2.38125
7/64						0.109375	2.778125
8/64	4/32	2/sixteen	1/8			0.125	3.175
9/64						0.140625	3.571875
10/64	v/32					0.15625	3.96875
11/64						0.171875	4.365625
12/64	half dozen/32	three/16				0.1875	four.7625
13/64						0.203125	5.159375
14/64	7/32					0.21875	5.55625
15/64						0.234375	five.953125
16/64	8/32	4/xvi	two/8	1/iv		0.25	6.35
17/64						0.265625	6.746875
18/64	9/32					0.28125	7.14375
19/64						0.296875	7.540625
20/64	10/32	5/xvi				0.3125	7.9375
21/64						0.328125	8.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	ix.128125
24/64	12/32	6/16	three/eight			0.375	9.525
25/64						0.390625	9.921875
26/64	13/32					0.40625	10.31875
27/64						0.421875	10.715625
28/64	14/32	vii/16				0.4375	11.1125
29/64						0.453125	11.509375
xxx/64	fifteen/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	8/16	4/8	2/4	i/2	0.5	12.7
33/64						0.515625	13.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	thirteen.890625
36/64	xviii/32	9/xvi				0.5625	xiv.2875
37/64						0.578125	14.684375
38/64	19/32					0.59375	xv.08125
39/64						0.609375	xv.478125
twoscore/64	20/32	10/16	v/8			0.625	xv.875
41/64						0.640625	16.271875
42/64	21/32					0.65625	xvi.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	18.25625
47/64						0.734375	18.653125
48/64	24/32	12/16	six/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	13/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
threescore/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	16/16	8/8	4/four	two/two	1	25.four

11 Divided By 3 2/3,

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

Posted by: ackermanpubleausing1955.blogspot.com