1.2 Percent As A Fraction

Fraction Figurer

Below are multiple fraction calculators capable of add-on, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields in a higher place the solid blackness line represent the numerator, while fields below correspond the denominator.

			=	?

				?

Mixed Numbers Calculator

			= ?

Simplify Fractions Calculator

		= ?

Decimal to Fraction Calculator

Result

Calculation steps:

=	?

	?

Fraction to Decimal Calculator

	= ?

Big Number Fraction Reckoner

Use this calculator if the numerators or denominators are very big integers.

			= ?

In mathematics, a fraction is a number that represents a part of a whole. Information technology 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 viii. A more illustrative example could involve a pie with 8 slices. one 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 swallow iii slices, the remaining fraction of the pie would therefore exist

equally shown in the image to the right. Notation that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.

Add-on:

Unlike adding and subtracting integers such every bit 2 and 8, fractions require 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 by 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 also demand to be multiplied by the advisable factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions accept a mutual denominator. However, in most cases, the solutions to these equations will non appear in simplified course (the provided calculator computes the simplification automatically). Below is an example using this method.

This process can exist used for any number of fractions. Merely multiply the numerators and denominators of each fraction in the problem past the production of the denominators of all the other fractions (not including its own respective denominator) in the trouble.

An culling method for finding a mutual denominator is to determine the to the lowest degree common multiple (LCM) for the denominators, so add or subtract the numerators every bit one would an integer. Using the least common multiple tin can be more than efficient and is more likely to consequence in a fraction in simplified form. In the example to a higher place, the denominators were 4, six, and ii. The least mutual multiple is the kickoff shared multiple of these iii numbers.

Multiples of 2: 2, 4, 6, eight 10, 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 least common multiple. To consummate an add-on (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by any value will 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 as well as the equations beneath for clarification.

Multiplication:

Multiplying fractions is adequately straightforward. Dissimilar adding and subtracting, it is not necessary to compute a common denominator in society to multiply fractions. Merely, the numerators and denominators of each fraction are multiplied, and the effect 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 similar to that for multiplying fractions. In lodge to split fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number a is only

. 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 piece of work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.

for example, is more than cumbersome than

. The computer provided returns fraction inputs in both improper fraction class likewise as mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator past their greatest common 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 right of the decimal point represents a power of ten; the commencement decimal place being 10¹, the 2nd tenⁱⁱ, the 3rd ten³, and so on. Simply decide what ability of 10 the decimal extends to, use that power of 10 equally the denominator, enter each number to the correct of the decimal point as the numerator, and simplify. For instance, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 10^iv, or x,000. This would make the fraction

, which simplifies to

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

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

for case. To convert this fraction into a decimal, offset convert it into the fraction of

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

tin can exist 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 operation of long division.

Common Applied science Fraction to Decimal Conversions

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

64^th	32^nd	sixteen^th	viii^th	iv^th	two^nd	Decimal	Decimal (inch to mm)
i/64						0.015625	0.396875
2/64	1/32					0.03125	0.79375
3/64						0.046875	ane.190625
four/64	2/32	ane/16				0.0625	i.5875
5/64						0.078125	1.984375
vi/64	3/32					0.09375	2.38125
seven/64						0.109375	two.778125
viii/64	four/32	2/16	1/8			0.125	three.175
nine/64						0.140625	3.571875
x/64	5/32					0.15625	three.96875
xi/64						0.171875	4.365625
12/64	half-dozen/32	3/16				0.1875	4.7625
thirteen/64						0.203125	5.159375
fourteen/64	7/32					0.21875	5.55625
15/64						0.234375	v.953125
xvi/64	8/32	4/16	two/8	1/4		0.25	6.35
17/64						0.265625	6.746875
18/64	9/32					0.28125	vii.14375
19/64						0.296875	seven.540625
20/64	10/32	five/16				0.3125	7.9375
21/64						0.328125	eight.334375
22/64	xi/32					0.34375	8.73125
23/64						0.359375	9.128125
24/64	12/32	6/16	3/8			0.375	9.525
25/64						0.390625	9.921875
26/64	13/32					0.40625	ten.31875
27/64						0.421875	10.715625
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/sixteen	4/8	2/4	1/ii	0.5	12.7
33/64						0.515625	13.096875
34/64	17/32					0.53125	thirteen.49375
35/64						0.546875	thirteen.890625
36/64	18/32	9/16				0.5625	14.2875
37/64						0.578125	14.684375
38/64	19/32					0.59375	15.08125
39/64						0.609375	15.478125
xl/64	20/32	x/16	5/8			0.625	15.875
41/64						0.640625	sixteen.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/eight	3/4		0.75	19.05
49/64						0.765625	nineteen.446875
50/64	25/32					0.78125	19.84375
51/64						0.796875	20.240625
52/64	26/32	13/16				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	fourteen/16	7/8			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	16/16	8/8	iv/4	2/two	i	25.four