15 Divided By 5 6

Fraction Calculator

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion betwixt fractions and decimals. Fields to a higher place the solid black line represent the numerator, while fields below correspond the denominator.

			=	?

				?

Mixed Numbers Reckoner

			= ?

Simplify Fractions Calculator

		= ?

Decimal to Fraction Computer

=	?

	?

Fraction to Decimal Calculator

	= ?

Large Number Fraction Calculator

Use this estimator 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 upwardly said whole. For example, in the fraction of

, the numerator is 3, and the denominator is 8. A more illustrative instance could involve a pie with eight slices. 1 of those 8 slices would plant the numerator of a fraction, while the total of 8 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 prototype to the right. Notation that the denominator of a fraction cannot exist 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned beneath.

Addition:

Unlike calculation and subtracting integers such as 2 and eight, fractions crave a common denominator to undergo these operations. One method for finding a mutual 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 certain to be a multiple of each individual denominator. The numerators also need to be multiplied past the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in nigh cases, the solutions to these equations volition not announced 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 (not including its own corresponding 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 decrease the numerators as 1 would an integer. Using the least common multiple tin can be more efficient and is more than likely to consequence in a fraction in simplified form. In the example higher up, the denominators were 4, half dozen, and ii. The least mutual multiple is the offset shared multiple of these three numbers.

Multiples of ii: two, 4, 6, viii x, 12

Multiples of 4: 4, 8, 12

Multiples of 6: six, 12

The kickoff multiple they all share is 12, and so this is the least mutual 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, so add the numerators.

Subtraction:

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

Multiplication:

Multiplying fractions is fairly straightforward. Unlike calculation and subtracting, it is non necessary to compute a mutual denominator in guild to multiply fractions. Only, 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 social club 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 be

. Refer to the equations beneath for clarification.

Simplification:

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

for instance, is more than cumbersome than

. The calculator provided returns fraction inputs in both improper fraction class equally well as mixed number course. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest common 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 right of the decimal point represents a power of ten; the first decimal place existence 10¹, the second 10², the third 10³, and so on. Simply determine 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 bespeak every bit the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes x⁴, or ten,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 class using the same principles. Take the fraction

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

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

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

, the decimal would then be 0.05, and 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 draw the size of components such as pipes and bolts. The nearly common fractional and decimal equivalents are listed beneath.

64^th	32^nd	xvi^thursday	8^th	four^th	ii^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
two/64	one/32					0.03125	0.79375
iii/64						0.046875	i.190625
4/64	ii/32	1/xvi				0.0625	i.5875
5/64						0.078125	1.984375
6/64	three/32					0.09375	2.38125
vii/64						0.109375	2.778125
8/64	4/32	2/16	1/8			0.125	3.175
9/64						0.140625	3.571875
10/64	5/32					0.15625	3.96875
11/64						0.171875	four.365625
12/64	6/32	3/xvi				0.1875	4.7625
13/64						0.203125	v.159375
14/64	7/32					0.21875	five.55625
15/64						0.234375	5.953125
16/64	8/32	4/xvi	2/viii	i/4		0.25	6.35
17/64						0.265625	6.746875
18/64	ix/32					0.28125	7.14375
19/64						0.296875	7.540625
20/64	ten/32	5/16				0.3125	seven.9375
21/64						0.328125	viii.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	ix.128125
24/64	12/32	6/16	3/8			0.375	nine.525
25/64						0.390625	ix.921875
26/64	13/32					0.40625	x.31875
27/64						0.421875	ten.715625
28/64	fourteen/32	seven/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	2/4	1/two	0.v	12.7
33/64						0.515625	thirteen.096875
34/64	17/32					0.53125	xiii.49375
35/64						0.546875	13.890625
36/64	18/32	9/sixteen				0.5625	14.2875
37/64						0.578125	xiv.684375
38/64	19/32					0.59375	15.08125
39/64						0.609375	15.478125
forty/64	20/32	10/xvi	v/8			0.625	15.875
41/64						0.640625	xvi.271875
42/64	21/32					0.65625	16.66875
43/64						0.671875	17.065625
44/64	22/32	11/xvi				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/xvi	half-dozen/8	iii/four		0.75	nineteen.05
49/64						0.765625	xix.446875
50/64	25/32					0.78125	19.84375
51/64						0.796875	twenty.240625
52/64	26/32	thirteen/sixteen				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	seven/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	xxx/32	xv/xvi				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	8/8	4/four	2/ii	1	25.4