1 1/8 Divided By 2

Fraction Calculator

Below are multiple fraction calculators capable of improver, subtraction, multiplication, division, 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 Calculator

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Simplify Fractions Figurer

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Decimal to Fraction Figurer

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Fraction to Decimal Calculator

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Big Number Fraction Calculator

Use 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 3, and the denominator is 8. A more illustrative instance could involve a pie with viii slices. 1 of those 8 slices would constitute the numerator of a fraction, while the full of 8 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 exist

every bit shown in the image to the correct. Annotation that the denominator of a fraction cannot be 0, as information technology would brand the fraction undefined. Fractions can undergo many different operations, some of which are mentioned beneath.

Addition:

Unlike adding and subtracting integers such as ii and viii, fractions crave a common denominator to undergo these operations. I 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 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 have a mutual denominator. However, in most cases, the solutions to these equations will non appear in simplified form (the provided figurer computes the simplification automatically). Beneath is an example using this method.

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

An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, so add together or decrease the numerators equally one would an integer. Using the least common multiple can be more efficient and is more likely to issue in a fraction in simplified form. In the example above, the denominators were 4, half dozen, and 2. The least common multiple is the first shared multiple of these three numbers.

Multiples of ii: 2, iv, half dozen, 8 10, 12

Multiples of 4: 4, 8, 12

Multiples of 6: six, 12

The starting time multiple they all share is 12, so this is the least common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatever value volition make the denominators 12, then add together the numerators.

Subtraction:

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

Multiplication:

Multiplying fractions is fairly straightforward. Unlike calculation and subtracting, information technology is not necessary to compute a common denominator in society to multiply fractions. But, the numerators and denominators of each fraction are multiplied, and the upshot forms a new numerator and denominator. If possible, the solution should exist 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 past 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 work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.

for example, is more than cumbersome than

. The calculator provided returns fraction inputs in both improper fraction form as well as mixed number course. 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, crave the agreement that each decimal place to the right of the decimal betoken represents a power of 10; the get-go decimal place being ten¹, the 2nd 10^two, the third ten^three, and and then on. Simply determine what power of 10 the decimal extends to, use that power of ten as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the 4th decimal identify, which constitutes 10⁴, or x,000. This would brand the fraction

, which simplifies to

, since the greatest common gene betwixt the numerator and denominator is two.

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

for instance. To convert this fraction into a decimal, starting time catechumen information technology into the fraction of

. Knowing that the first decimal place represents ten^-1,

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

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

Mutual Engineering Fraction to Decimal Conversions

In engineering, fractions are widely used to draw the size of components such as pipes and bolts. The virtually mutual fractional and decimal equivalents are listed below.

64th	32nd	16th	eightth	4th	iind	Decimal	Decimal (inch to mm)
ane/64						0.015625	0.396875
2/64	i/32					0.03125	0.79375
three/64						0.046875	1.190625
4/64	2/32	one/16				0.0625	1.5875
5/64						0.078125	one.984375
half-dozen/64	3/32					0.09375	2.38125
7/64						0.109375	ii.778125
8/64	4/32	2/sixteen	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	six/32	iii/16				0.1875	4.7625
13/64						0.203125	five.159375
xiv/64	7/32					0.21875	5.55625
15/64						0.234375	5.953125
16/64	8/32	4/16	2/8	1/4		0.25	6.35
17/64						0.265625	6.746875
xviii/64	9/32					0.28125	seven.14375
19/64						0.296875	7.540625
twenty/64	10/32	5/16				0.3125	7.9375
21/64						0.328125	8.334375
22/64	eleven/32					0.34375	8.73125
23/64						0.359375	9.128125
24/64	12/32	vi/16	3/eight			0.375	nine.525
25/64						0.390625	nine.921875
26/64	13/32					0.40625	10.31875
27/64						0.421875	10.715625
28/64	14/32	vii/16				0.4375	xi.1125
29/64						0.453125	11.509375
xxx/64	fifteen/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	xvi/32	eight/16	four/8	2/4	one/ii	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	xviii/32	9/16				0.5625	fourteen.2875
37/64						0.578125	fourteen.684375
38/64	19/32					0.59375	xv.08125
39/64						0.609375	15.478125
40/64	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/sixteen	6/8	three/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	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	14/16	vii/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
60/64	xxx/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	xvi/16	8/viii	iv/4	two/2	1	25.4

1 1/8 Divided By 2,

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

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