What Is 1 8 Simplified

Fraction Estimator

Below are multiple fraction calculators capable of improver, subtraction, multiplication, partitioning, 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 Reckoner

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Simplify Fractions Calculator

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Decimal to Fraction Figurer

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Fraction to Decimal Reckoner

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Big Number Fraction Calculator

Use this reckoner 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 example could involve a pie with 8 slices. 1 of those viii slices would constitute the numerator of a fraction, while the full of viii slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be

as shown in the image to the right. Note that the denominator of a fraction cannot exist 0, as information technology 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 crave a common denominator to undergo these operations. One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved past the production 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 demand to exist multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. Yet, in about cases, the solutions to these equations will not announced in simplified form (the provided calculator computes the simplification automatically). Below 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 problem by the production 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 or subtract the numerators equally one would an integer. Using the least common multiple tin can be more efficient and is more probable to outcome in a fraction in simplified course. In the example above, the denominators were 4, 6, and 2. The least common multiple is the beginning shared multiple of these three numbers.

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

Multiples of 4: 4, 8, 12

Multiples of half-dozen: six, 12

The first multiple they all share is 12, so this is the to the lowest degree common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatsoever value volition make the denominators 12, then add the numerators.

Subtraction:

Fraction subtraction is essentially the aforementioned as fraction addition. A common denominator is required for the operation to occur. Refer to the addition section every bit well as the equations below for clarification.

Multiplication:

Multiplying fractions is adequately straightforward. Unlike adding and subtracting, it is not necessary to compute a common denominator in order to multiply fractions. Merely, 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.

Partition:

The process for dividing fractions is like 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 simply

. When a is a fraction, this substantially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction

would therefore be

. Refer to the equations below for description.

Simplification:

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

for instance, is more cumbersome than

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

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. Information technology does, nonetheless, require the understanding that each decimal identify to the right of the decimal point represents a ability of ten; the first decimal place being 10^one, the second 10², the third 10³, and so on. Simply determine what power of 10 the decimal extends to, utilize that power 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 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 2.

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

for case. To convert this fraction into a decimal, first catechumen information technology into the fraction of

. Knowing that the first decimal identify represents 10^-1,

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

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

Common Engineering science Fraction to Decimal Conversions

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

64^th	32^nd	16^th	viii^th	4^th	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	2/32	1/sixteen				0.0625	1.5875
5/64						0.078125	1.984375
6/64	3/32					0.09375	two.38125
seven/64						0.109375	2.778125
viii/64	4/32	2/16	i/8			0.125	3.175
9/64						0.140625	three.571875
10/64	5/32					0.15625	3.96875
eleven/64						0.171875	4.365625
12/64	6/32	three/xvi				0.1875	four.7625
13/64						0.203125	5.159375
14/64	7/32					0.21875	5.55625
fifteen/64						0.234375	5.953125
sixteen/64	eight/32	4/xvi	ii/8	1/4		0.25	6.35
17/64						0.265625	six.746875
xviii/64	9/32					0.28125	7.14375
19/64						0.296875	7.540625
20/64	10/32	5/16				0.3125	7.9375
21/64						0.328125	eight.334375
22/64	11/32					0.34375	eight.73125
23/64						0.359375	nine.128125
24/64	12/32	6/sixteen	3/viii			0.375	9.525
25/64						0.390625	9.921875
26/64	13/32					0.40625	10.31875
27/64						0.421875	ten.715625
28/64	14/32	vii/16				0.4375	xi.1125
29/64						0.453125	11.509375
30/64	15/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	sixteen/32	8/xvi	4/8	2/4	1/two	0.v	12.vii
33/64						0.515625	13.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	13.890625
36/64	18/32	9/16				0.5625	fourteen.2875
37/64						0.578125	fourteen.684375
38/64	nineteen/32					0.59375	xv.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	eleven/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/viii	3/4		0.75	19.05
49/64						0.765625	xix.446875
50/64	25/32					0.78125	19.84375
51/64						0.796875	20.240625
52/64	26/32	thirteen/xvi				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/xvi	seven/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	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/16	8/8	4/4	ii/2	ane	25.iv