What Is Equal To 3/7

Fraction Computer

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

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Mixed Numbers Figurer

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Simplify Fractions Calculator

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Decimal to Fraction Calculator

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Fraction to Decimal Computer

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Big Number Fraction Calculator

Utilize this estimator if the numerators or denominators are very large integers.

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In mathematics, a fraction is a number that represents a role 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 upwardly said whole. For example, in the fraction of

, the numerator is iii, and the denominator is 8. A more illustrative case could involve a pie with 8 slices. ane of those 8 slices would constitute 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 iii slices, the remaining fraction of the pie would therefore be

every bit shown in the prototype to the right. Note 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.

Addition:

Different calculation and subtracting integers such equally two and 8, fractions require a common denominator to undergo these operations. 1 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 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 take a common denominator. However, in near cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an case using this method.

This process can be used for any number of fractions. Simply multiply the numerators and denominators of each fraction in the trouble past the product of the denominators of all the other fractions (non including its own corresponding denominator) in the trouble.

An culling method for finding a common denominator is to decide the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple can be more than efficient and is more than likely to result in a fraction in simplified course. In the example higher up, the denominators were 4, 6, and 2. The least common multiple is the first shared multiple of these 3 numbers.

Multiples of 2: 2, 4, six, eight 10, 12

Multiples of 4: 4, eight, 12

Multiples of six: 6, 12

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

Subtraction:

Fraction subtraction is essentially the same as fraction add-on. A mutual denominator is required for the operation to occur. Refer to the addition department besides as the equations below for clarification.

Multiplication:

Multiplying fractions is fairly straightforward. Unlike adding and subtracting, it is not necessary to compute a common denominator in order to multiply fractions. But, the numerators and denominators of each fraction are multiplied, and the consequence 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 dissever fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number a is simply

. 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 below for clarification.

Simplification:

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

for example, is more cumbersome than

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

Converting betwixt fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the correct of the decimal indicate represents a power of 10; the first decimal identify existence 10^ane, the 2nd x², the third 10^three, and then on. Only determine what power of 10 the decimal extends to, employ that power of ten as the denominator, enter each number to the right of the decimal point every bit the numerator, and simplify. For instance, looking at the number 0.1234, the number iv is in the fourth decimal place, which constitutes 10⁴, or ten,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 can be converted to powers of 10) can be translated to decimal form using the same principles. Take the fraction

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

. Knowing that the get-go decimal place represents ten^-ane,

tin can exist converted to 0.five. If the fraction were instead

, the decimal would then be 0.05, so on. Beyond this, converting fractions into decimals requires the performance of long partition.

Common Technology Fraction to Decimal Conversions

In engineering science, fractions are widely used to draw the size of components such every bit pipes and bolts. The nigh common partial and decimal equivalents are listed below.

64^th	32^nd	16^th	8^th	4^thursday	2^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
2/64	1/32					0.03125	0.79375
3/64						0.046875	i.190625
four/64	2/32	one/16				0.0625	1.5875
5/64						0.078125	1.984375
6/64	3/32					0.09375	2.38125
7/64						0.109375	2.778125
8/64	4/32	2/16	1/eight			0.125	3.175
9/64						0.140625	three.571875
10/64	5/32					0.15625	3.96875
11/64						0.171875	4.365625
12/64	six/32	3/16				0.1875	4.7625
13/64						0.203125	five.159375
fourteen/64	vii/32					0.21875	five.55625
xv/64						0.234375	v.953125
16/64	8/32	4/xvi	2/8	1/four		0.25	vi.35
17/64						0.265625	six.746875
18/64	9/32					0.28125	seven.14375
19/64						0.296875	7.540625
twenty/64	x/32	5/16				0.3125	7.9375
21/64						0.328125	viii.334375
22/64	xi/32					0.34375	viii.73125
23/64						0.359375	nine.128125
24/64	12/32	6/16	three/8			0.375	9.525
25/64						0.390625	nine.921875
26/64	13/32					0.40625	ten.31875
27/64						0.421875	10.715625
28/64	fourteen/32	7/sixteen				0.4375	11.1125
29/64						0.453125	eleven.509375
xxx/64	xv/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	sixteen/32	8/16	iv/8	2/4	1/2	0.v	12.7
33/64						0.515625	thirteen.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	13.890625
36/64	xviii/32	ix/xvi				0.5625	fourteen.2875
37/64						0.578125	14.684375
38/64	xix/32					0.59375	15.08125
39/64						0.609375	15.478125
40/64	20/32	10/xvi	five/8			0.625	15.875
41/64						0.640625	sixteen.271875
42/64	21/32					0.65625	xvi.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	xviii.653125
48/64	24/32	12/16	6/8	3/4		0.75	nineteen.05
49/64						0.765625	nineteen.446875
50/64	25/32					0.78125	xix.84375
51/64						0.796875	20.240625
52/64	26/32	xiii/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/sixteen	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	16/16	8/viii	four/4	two/2	i	25.four