1 5/8 Divided By 3

Fraction Calculator

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

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Mixed Numbers Calculator

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Simplify Fractions Computer

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Decimal to Fraction Calculator

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Fraction to Decimal Calculator

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Big Number Fraction Calculator

Utilise this computer 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 up said whole. For example, in the fraction of

, the numerator is 3, and the denominator is 8. A more illustrative example could involve a pie with viii slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of viii slices that comprises the whole pie would be the denominator. If a person were to eat three slices, the remaining fraction of the pie would therefore be

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

Addition:

Unlike adding and subtracting integers such equally 2 and eight, fractions require a common 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 as well demand to be multiplied by the appropriate factors to preserve the value of the fraction equally a whole. This is arguably the simplest way to ensure that the fractions take a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.

This process can be used for whatever number of fractions. Just multiply the numerators and denominators of each fraction in the problem past the product of the denominators of all the other fractions (not including its own respective denominator) in the trouble.

An culling method for finding a common denominator is to decide the to the lowest degree common multiple (LCM) for the denominators, then add or decrease the numerators as one would an integer. Using the least common multiple can be more efficient and is more likely to upshot in a fraction in simplified form. In the case in a higher place, the denominators were 4, 6, and two. The least common multiple is the first shared multiple of these three numbers.

Multiples of two: two, 4, 6, 8 ten, 12

Multiples of 4: 4, viii, 12

Multiples of six: half-dozen, 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 trouble by whatever value will brand the denominators 12, then add the numerators.

Subtraction:

Fraction subtraction is essentially the same equally fraction add-on. A mutual denominator is required for the functioning to occur. Refer to the addition department as well every bit 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. Simply, the numerators and denominators of each fraction are multiplied, and the event forms a new numerator and denominator. If possible, the solution should be simplified. Refer to the equations beneath 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 past 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 beneath for clarification.

Simplification:

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

for case, is more cumbersome than

. The estimator provided returns fraction inputs in both improper fraction form also as mixed number grade. In both cases, fractions are presented in their lowest forms past dividing both numerator and denominator past their greatest common factor.

Converting betwixt fractions and decimals:

Converting from decimals to fractions is straightforward. It does, withal, require the understanding that each decimal place to the right of the decimal point represents a power of 10; the showtime decimal place being 10ⁱ, the 2d 10², the 3rd 10³, and then on. Simply determine what power of ten the decimal extends to, use that power of ten as the denominator, enter each number to the right of the decimal point every bit the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal identify, which constitutes x^four, or 10,000. This would brand the fraction

, which simplifies to

, since the greatest mutual factor between the numerator and denominator is ii.

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

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

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

can be converted to 0.5. If the fraction were instead

, the decimal would then exist 0.05, and then on. Beyond this, converting fractions into decimals requires the operation of long division.

Mutual Engineering Fraction to Decimal Conversions

In technology, fractions are widely used to draw the size of components such as pipes and bolts. The most common fractional and decimal equivalents are listed beneath.

64^th	32^nd	sixteen^thursday	8^thursday	4^thursday	2^nd	Decimal	Decimal (inch to mm)
1/64						0.015625	0.396875
2/64	ane/32					0.03125	0.79375
3/64						0.046875	1.190625
4/64	two/32	1/16				0.0625	1.5875
5/64						0.078125	1.984375
6/64	3/32					0.09375	two.38125
7/64						0.109375	2.778125
8/64	4/32	ii/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	4.365625
12/64	6/32	iii/xvi				0.1875	4.7625
13/64						0.203125	v.159375
14/64	vii/32					0.21875	5.55625
xv/64						0.234375	5.953125
16/64	viii/32	4/16	ii/8	one/four		0.25	vi.35
17/64						0.265625	6.746875
xviii/64	nine/32					0.28125	7.14375
19/64						0.296875	7.540625
xx/64	x/32	5/sixteen				0.3125	seven.9375
21/64						0.328125	eight.334375
22/64	11/32					0.34375	viii.73125
23/64						0.359375	9.128125
24/64	12/32	vi/xvi	three/8			0.375	9.525
25/64						0.390625	9.921875
26/64	thirteen/32					0.40625	10.31875
27/64						0.421875	10.715625
28/64	14/32	7/sixteen				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	eight/16	four/eight	ii/iv	ane/2	0.five	12.seven
33/64						0.515625	13.096875
34/64	17/32					0.53125	xiii.49375
35/64						0.546875	13.890625
36/64	eighteen/32	9/16				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/xvi	5/8			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	xi/sixteen				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/viii	3/4		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/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/eight			0.875	22.225
57/64						0.890625	22.621875
58/64	29/32					0.90625	23.01875
59/64						0.921875	23.415625
sixty/64	30/32	fifteen/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	8/8	4/four	2/2	1	25.4

1 5/8 Divided By 3,

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

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