3 3/4 X 2 2/5

Fraction Estimator

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

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Mixed Numbers Reckoner

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Simplify Fractions Reckoner

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Decimal to Fraction Reckoner

Result

Adding steps:

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Fraction to Decimal Figurer

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Big Number Fraction Reckoner

Apply this calculator if the numerators or denominators are very big 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 up said whole. For example, in the fraction of

, the numerator is iii, and the denominator is 8. A more illustrative example could involve a pie with eight slices. one 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 consume 3 slices, the remaining fraction of the pie would therefore exist

as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as information technology would make the fraction undefined. Fractions tin undergo many unlike operations, some of which are mentioned below.

Add-on:

Dissimilar adding and subtracting integers such every bit 2 and eight, fractions require 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 exist a multiple of each individual denominator. The numerators also demand 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. However, in most cases, the solutions to these equations will not appear in simplified class (the provided calculator computes the simplification automatically). Beneath is an example using this method.

This procedure 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 respective denominator) in the problem.

An culling method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add together or decrease the numerators every bit 1 would an integer. Using the least mutual multiple can be more than efficient and is more probable to event in a fraction in simplified form. In the case above, the denominators were 4, 6, and ii. The least mutual multiple is the first shared multiple of these three numbers.

Multiples of 2: two, 4, 6, 8 x, 12

Multiples of 4: 4, 8, 12

Multiples of 6: 6, 12

The commencement multiple they all share is 12, and so this is the least common multiple. To consummate an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by any value will make the denominators 12, 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 below for clarification.

Multiplication:

Multiplying fractions is fairly straightforward. Dissimilar adding and subtracting, it is not 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 be simplified. Refer to the equations below for clarification.

Division:

The procedure 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 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 description.

Simplification:

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

for example, is more cumbersome than

. The estimator provided returns fraction inputs in both improper fraction form as well as mixed number form. In both cases, fractions are presented in their everyman 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, however, require the understanding that each decimal identify to the correct of the decimal point represents a power of 10; the first decimal place being 10¹, the second ten², the third x³, and so on. Simply decide what power of 10 the decimal extends to, utilise that power of 10 every bit the denominator, enter each number to the correct of the decimal betoken as the numerator, and simplify. For case, looking at the number 0.1234, the number 4 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 between the numerator and denominator is ii.

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

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

. Knowing that the first decimal identify represents x^-1,

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 division.

Common Engineering Fraction to Decimal Conversions

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

64th	32nd	16thursday	8th	4th	iind	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
2/64	i/32					0.03125	0.79375
3/64						0.046875	1.190625
iv/64	2/32	1/16				0.0625	i.5875
v/64						0.078125	ane.984375
half-dozen/64	iii/32					0.09375	two.38125
7/64						0.109375	two.778125
8/64	4/32	2/sixteen	1/8			0.125	3.175
ix/64						0.140625	3.571875
ten/64	five/32					0.15625	iii.96875
11/64						0.171875	four.365625
12/64	vi/32	3/16				0.1875	4.7625
13/64						0.203125	5.159375
fourteen/64	7/32					0.21875	five.55625
15/64						0.234375	5.953125
sixteen/64	8/32	4/16	2/viii	one/iv		0.25	6.35
17/64						0.265625	6.746875
eighteen/64	9/32					0.28125	7.14375
19/64						0.296875	7.540625
twenty/64	10/32	v/sixteen				0.3125	7.9375
21/64						0.328125	8.334375
22/64	11/32					0.34375	8.73125
23/64						0.359375	9.128125
24/64	12/32	6/16	3/eight			0.375	9.525
25/64						0.390625	9.921875
26/64	13/32					0.40625	10.31875
27/64						0.421875	x.715625
28/64	14/32	vii/16				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	four/eight	two/4	1/ii	0.5	12.7
33/64						0.515625	13.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	13.890625
36/64	18/32	9/sixteen				0.5625	14.2875
37/64						0.578125	fourteen.684375
38/64	19/32					0.59375	15.08125
39/64						0.609375	15.478125
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	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	6/8	3/4		0.75	nineteen.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	xiii/16				0.8125	xx.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	vii/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	16/xvi	8/8	four/4	2/2	1	25.four

3 3/4 X 2 2/5,

Source: https://www.calculator.net/fraction-calculator.html?c2d1=0.3&ctype=2&x=0&y=0

Posted by: royeventer1973.blogspot.com

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