2 Divided By 4 5

Fraction Reckoner

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

			=	?

				?

Mixed Numbers Calculator

			= ?

Simplify Fractions Estimator

		= ?

Decimal to Fraction Estimator

=	?

	?

Fraction to Decimal Reckoner

	= ?

Big Number Fraction Calculator

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

			= ?

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 brand 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. ane of those 8 slices would constitute the numerator of a fraction, while the total of eight slices that comprises the whole pie would exist the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be

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

Addition:

Unlike adding and subtracting integers such as two and viii, 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 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 private denominator. The numerators also need to be multiplied past the advisable 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. However, in most cases, the solutions to these equations will not appear in simplified grade (the provided estimator computes the simplification automatically). Below is an instance using this method.

This process can be used for any number of fractions. Only 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 ain respective denominator) in the problem.

An culling method for finding a common denominator is to decide the least mutual multiple (LCM) for the denominators, then add or subtract the numerators equally i would an integer. Using the least common multiple tin can exist more efficient and is more likely to effect in a fraction in simplified form. In the example above, the denominators were 4, six, and 2. The to the lowest degree common multiple is the first shared multiple of these 3 numbers.

Multiples of 2: 2, 4, 6, eight 10, 12

Multiples of four: 4, 8, 12

Multiples of 6: six, 12

The first multiple they all share is 12, then 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 trouble by any value will brand the denominators 12, then add the numerators.

Subtraction:

Fraction subtraction is substantially the same as fraction addition. A common denominator is required for the operation to occur. Refer to the addition section likewise every bit the equations below for description.

Multiplication:

Multiplying fractions is fairly straightforward. Unlike adding and subtracting, it is not necessary to compute a common denominator in society to multiply fractions. Simply, the numerators and denominators of each fraction are multiplied, and the result forms a new numerator and denominator. If possible, the solution should exist simplified. Refer to the equations below for description.

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 by the reciprocal of the fraction in the denominator. The reciprocal of a number a is but

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

for case, is more than cumbersome than

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

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. Information technology does, nevertheless, require the agreement that each decimal place to the correct of the decimal point represents a ability of x; the first decimal place existence 10ⁱ, the 2d 10², the third x³, and so on. Simply determine what power of 10 the decimal extends to, utilise that power of x every bit 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 four is in the fourth decimal place, which constitutes ten⁴, or 10,000. This would make the fraction

, which simplifies to

, since the greatest common cistron betwixt the numerator and denominator is 2.

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

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

. Knowing that the kickoff decimal place represents 10^-1,

can exist converted to 0.5. If the fraction were instead

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

Mutual Applied science Fraction to Decimal Conversions

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

64^th	32^nd	16^th	8^th	4^th	ii^nd	Decimal	Decimal (inch to mm)
ane/64						0.015625	0.396875
2/64	1/32					0.03125	0.79375
3/64						0.046875	1.190625
4/64	2/32	1/16				0.0625	i.5875
v/64						0.078125	1.984375
6/64	3/32					0.09375	ii.38125
seven/64						0.109375	2.778125
viii/64	four/32	two/xvi	i/8			0.125	3.175
9/64						0.140625	3.571875
ten/64	5/32					0.15625	3.96875
11/64						0.171875	4.365625
12/64	6/32	3/16				0.1875	four.7625
13/64						0.203125	five.159375
fourteen/64	7/32					0.21875	5.55625
15/64						0.234375	5.953125
16/64	8/32	4/16	2/8	ane/four		0.25	half-dozen.35
17/64						0.265625	vi.746875
18/64	9/32					0.28125	7.14375
19/64						0.296875	7.540625
20/64	ten/32	five/sixteen				0.3125	seven.9375
21/64						0.328125	8.334375
22/64	11/32					0.34375	viii.73125
23/64						0.359375	ix.128125
24/64	12/32	half-dozen/16	3/eight			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	xiv/32	7/16				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	xvi/32	8/16	4/8	2/4	i/2	0.5	12.7
33/64						0.515625	xiii.096875
34/64	17/32					0.53125	thirteen.49375
35/64						0.546875	thirteen.890625
36/64	xviii/32	nine/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
40/64	20/32	10/xvi	5/8			0.625	fifteen.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	11/xvi				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/eight	iii/iv		0.75	19.05
49/64						0.765625	19.446875
50/64	25/32					0.78125	19.84375
51/64						0.796875	xx.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	14/xvi	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
lx/64	thirty/32	xv/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	8/8	four/four	ii/ii	ane	25.4

2 Divided By 4 5,

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

Posted by: smithcoctur.blogspot.com