3 6 As A Fraction

Fraction Figurer

Below are multiple fraction calculators capable of add-on, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below correspond the denominator.

			=	?

				?

Mixed Numbers Calculator

			= ?

Simplify Fractions Calculator

		= ?

Decimal to Fraction Calculator

=	?

	?

Fraction to Decimal Calculator

	= ?

Large Number Fraction Figurer

Utilize this calculator if the numerators or denominators are very big integers.

			= ?

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 full 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 illustrative case could involve a pie with 8 slices. 1 of those eight 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 eat 3 slices, the remaining fraction of the pie would therefore exist

as 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 calculation and subtracting integers such as 2 and 8, fractions require a mutual denominator to undergo these operations. Ane 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 be a multiple of each individual denominator. The numerators also need to be multiplied by the advisable factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions take a common denominator. However, in almost cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an instance using this method.

This procedure can exist used for any number of fractions. Just multiply the numerators and denominators of each fraction in the problem by the production 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 mutual multiple (LCM) for the denominators, and then add together or subtract the numerators as one would an integer. Using the least common multiple can be more efficient and is more likely to consequence in a fraction in simplified form. In the example above, the denominators were 4, 6, and 2. The least common multiple is the commencement shared multiple of these three numbers.

Multiples of ii: 2, 4, half-dozen, eight 10, 12

Multiples of 4: iv, 8, 12

Multiples of six: 6, 12

The first multiple they all share is 12, so this is the least mutual multiple. To complete an add-on (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatsoever value will brand the denominators 12, and then add together the numerators.

Subtraction:

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

Multiplication:

Multiplying fractions is adequately straightforward. Unlike calculation and subtracting, information technology is non 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.

Division:

The process for dividing fractions is similar to that for multiplying fractions. In order to divide fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number a is but

. 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 below for description.

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

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, even so, crave the understanding that each decimal place to the correct of the decimal point represents a power of 10; the first decimal identify being 10¹, the second 10², the third 10³, and so on. Simply determine what ability of 10 the decimal extends to, apply that ability of 10 every bit the denominator, enter each number to the correct of the decimal bespeak equally the numerator, and simplify. For example, looking at the number 0.1234, the number iv is in the fourth decimal place, which constitutes ten⁴, 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 x (or can be converted to powers of ten) can be translated to decimal form using the same principles. Take the fraction

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

. Knowing that the outset decimal place represents x^-one,

can be converted to 0.5. If the fraction were instead

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

Common Applied science Fraction to Decimal Conversions

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

64^th	32^nd	xvi^th	eight^thursday	four^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	ane.190625
iv/64	ii/32	ane/16				0.0625	ane.5875
v/64						0.078125	ane.984375
six/64	3/32					0.09375	2.38125
7/64						0.109375	2.778125
8/64	4/32	2/xvi	1/8			0.125	3.175
ix/64						0.140625	iii.571875
ten/64	5/32					0.15625	3.96875
11/64						0.171875	4.365625
12/64	six/32	three/16				0.1875	iv.7625
13/64						0.203125	5.159375
14/64	7/32					0.21875	five.55625
xv/64						0.234375	5.953125
16/64	viii/32	4/16	ii/viii	i/four		0.25	6.35
17/64						0.265625	vi.746875
xviii/64	9/32					0.28125	7.14375
19/64						0.296875	7.540625
20/64	10/32	5/xvi				0.3125	vii.9375
21/64						0.328125	8.334375
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	9.921875
26/64	13/32					0.40625	x.31875
27/64						0.421875	10.715625
28/64	14/32	7/16				0.4375	11.1125
29/64						0.453125	11.509375
30/64	fifteen/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	8/16	4/8	two/4	1/2	0.5	12.seven
33/64						0.515625	xiii.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	ten/16	v/8			0.625	15.875
41/64						0.640625	16.271875
42/64	21/32					0.65625	16.66875
43/64						0.671875	17.065625
44/64	22/32	11/16				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	vi/8	iii/four		0.75	xix.05
49/64						0.765625	nineteen.446875
50/64	25/32					0.78125	19.84375
51/64						0.796875	20.240625
52/64	26/32	13/16				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	14/16	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	xxx/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/sixteen	eight/8	4/4	two/2	1	25.4

3 6 As A Fraction,

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

Posted by: jacksonhipild.blogspot.com