20 Divided By 4 5

Fraction Calculator

Below are multiple fraction calculators capable of addition, subtraction, multiplication, partitioning, simplification, and conversion between fractions and decimals. Fields above the solid black line stand for the numerator, while fields beneath stand for the denominator.

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Mixed Numbers Reckoner

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Simplify Fractions Calculator

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Decimal to Fraction Reckoner

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Fraction to Decimal Calculator

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Big Number Fraction Calculator

Utilise this calculator if the numerators or denominators are very large integers.

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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 make upward said whole. For example, in the fraction of

, the numerator is 3, and the denominator is 8. A more than illustrative instance could involve a pie with viii slices. i of those 8 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 consume three slices, the remaining fraction of the pie would therefore be

as shown in the image to the correct. Note that the denominator of a fraction cannot be 0, equally it would make the fraction undefined. Fractions can undergo many unlike operations, some of which are mentioned below.

Addition:

Different adding and subtracting integers such as two and viii, fractions crave a common 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 certain to be a multiple of each private denominator. The numerators likewise 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 accept a mutual denominator. However, in well-nigh cases, the solutions to these equations volition non appear in simplified course (the provided calculator computes the simplification automatically). Beneath is an example using this method.

This process can be used for any number of fractions. Only 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 determine the to the lowest degree mutual multiple (LCM) for the denominators, then add or subtract the numerators equally one would an integer. Using the to the lowest degree common multiple can be more efficient and is more likely to result in a fraction in simplified form. In the example above, the denominators were four, 6, and 2. The least common multiple is the get-go shared multiple of these 3 numbers.

Multiples of 2: 2, iv, half dozen, 8 x, 12

Multiples of four: iv, eight, 12

Multiples of 6: half dozen, 12

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

Subtraction:

Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation to occur. Refer to the addition department likewise as the equations below for description.

Multiplication:

Multiplying fractions is adequately straightforward. Different adding and subtracting, information technology is not necessary to compute a common denominator in gild 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 beneath for description.

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 just

. 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 piece of 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 form as 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 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 ability of ten; the beginning decimal place being 10¹, the second x², the third 10³, and and so on. Simply determine what power of 10 the decimal extends to, use that ability of 10 as the denominator, enter each number to the right of the decimal signal equally the numerator, and simplify. For example, looking at the number 0.1234, the number four is in the 4th decimal place, which constitutes 10⁴, or x,000. This would make the fraction

, which simplifies to

, since the greatest common factor between the numerator and denominator is two.

Similarly, fractions with denominators that are powers of x (or tin be converted to powers of 10) tin can be translated to decimal form using the same principles. Accept the fraction

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

. Knowing that the first decimal identify represents ten^-i,

can be converted to 0.5. If the fraction were instead

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

Common Engineering Fraction to Decimal Conversions

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

64^th	32^nd	16^th	eight^th	iv^th	2^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
ii/64	ane/32					0.03125	0.79375
three/64						0.046875	1.190625
4/64	2/32	1/16				0.0625	1.5875
5/64						0.078125	1.984375
vi/64	iii/32					0.09375	2.38125
7/64						0.109375	2.778125
8/64	4/32	2/xvi	one/8			0.125	iii.175
9/64						0.140625	3.571875
x/64	v/32					0.15625	3.96875
eleven/64						0.171875	iv.365625
12/64	vi/32	3/16				0.1875	4.7625
13/64						0.203125	5.159375
14/64	seven/32					0.21875	v.55625
15/64						0.234375	5.953125
16/64	viii/32	4/xvi	2/viii	i/4		0.25	half dozen.35
17/64						0.265625	6.746875
18/64	nine/32					0.28125	7.14375
19/64						0.296875	seven.540625
20/64	10/32	five/16				0.3125	7.9375
21/64						0.328125	8.334375
22/64	11/32					0.34375	viii.73125
23/64						0.359375	nine.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	10.715625
28/64	14/32	7/xvi				0.4375	11.1125
29/64						0.453125	11.509375
30/64	15/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	16/32	8/16	4/8	2/4	one/2	0.5	12.7
33/64						0.515625	xiii.096875
34/64	17/32					0.53125	xiii.49375
35/64						0.546875	13.890625
36/64	18/32	nine/xvi				0.5625	14.2875
37/64						0.578125	xiv.684375
38/64	nineteen/32					0.59375	fifteen.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	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/xvi	6/8	iii/4		0.75	xix.05
49/64						0.765625	19.446875
fifty/64	25/32					0.78125	nineteen.84375
51/64						0.796875	20.240625
52/64	26/32	xiii/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	14/16	7/viii			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	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	sixteen/sixteen	8/8	four/4	2/2	1	25.4

20 Divided By 4 5,

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

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