What Is 1/4 Times 20

Fraction Calculator

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

			=	?

				?

Mixed Numbers Calculator

			= ?

Simplify Fractions Calculator

		= ?

Decimal to Fraction Computer

=	?

	?

Fraction to Decimal Calculator

	= ?

Large Number Fraction Calculator

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. 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 eight. A more than 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 8 slices that comprises the whole pie would be the denominator. If a person were to consume iii slices, the remaining fraction of the pie would therefore be

equally shown in the image to the correct. Note that the denominator of a fraction cannot exist 0, as information technology would brand the fraction undefined. Fractions tin can undergo many different operations, some of which are mentioned below.

Addition:

Unlike adding and subtracting integers such as 2 and 8, 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 also demand to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest fashion to ensure that the fractions have a common denominator. Withal, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Beneath is an example using this method.

This process tin be used for any number of fractions. Just multiply the numerators and denominators of each fraction in the problem by the product 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 to the lowest degree mutual multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the to the lowest degree mutual multiple can be more efficient and is more likely to result in a fraction in simplified form. In the example above, the denominators were 4, half-dozen, and 2. The least mutual multiple is the first shared multiple of these three numbers.

Multiples of 2: 2, 4, 6, 8 10, 12

Multiples of 4: iv, 8, 12

Multiples of six: half-dozen, 12

The first multiple they all share is 12, and 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 whatever value will 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 improver section equally well as the equations below for clarification.

Multiplication:

Multiplying fractions is adequately straightforward. Unlike adding and subtracting, information technology is non necessary to compute a common denominator in order to multiply fractions. Only, 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 procedure for dividing fractions is like to that for multiplying fractions. In social club 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 merely

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

would therefore exist

. Refer to the equations below for clarification.

Simplification:

It is often easier to work with simplified fractions. Every bit such, fraction solutions are unremarkably expressed in their simplified forms.

for example, is more cumbersome than

. The calculator provided returns fraction inputs in both improper fraction form too as mixed number grade. 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. It does, however, require the understanding that each decimal place to the right of the decimal indicate represents a power of 10; the first decimal identify existence 10¹, the second x^two, the tertiary x³, and and then on. Simply determine what power of ten the decimal extends to, apply that ability of ten equally the denominator, enter each number to the right of the decimal point every bit the numerator, and simplify. For case, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes x^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 aforementioned principles. Accept the fraction

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

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

can be converted to 0.5. If the fraction were instead

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

Mutual Applied science Fraction to Decimal Conversions

In applied science, fractions are widely used to describe the size of components such equally pipes and bolts. The about mutual fractional 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
two/64	ane/32					0.03125	0.79375
iii/64						0.046875	1.190625
4/64	2/32	1/16				0.0625	ane.5875
5/64						0.078125	1.984375
vi/64	iii/32					0.09375	2.38125
7/64						0.109375	ii.778125
8/64	iv/32	two/16	1/8			0.125	3.175
9/64						0.140625	three.571875
x/64	5/32					0.15625	3.96875
xi/64						0.171875	4.365625
12/64	6/32	3/16				0.1875	iv.7625
13/64						0.203125	5.159375
14/64	vii/32					0.21875	5.55625
15/64						0.234375	v.953125
16/64	8/32	iv/xvi	2/8	1/4		0.25	half dozen.35
17/64						0.265625	6.746875
18/64	nine/32					0.28125	seven.14375
19/64						0.296875	seven.540625
20/64	10/32	5/xvi				0.3125	seven.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	6/16	iii/viii			0.375	nine.525
25/64						0.390625	nine.921875
26/64	thirteen/32					0.40625	10.31875
27/64						0.421875	x.715625
28/64	14/32	7/16				0.4375	11.1125
29/64						0.453125	11.509375
30/64	fifteen/32					0.46875	11.90625
31/64						0.484375	12.303125
32/64	xvi/32	8/16	4/8	2/four	1/2	0.five	12.7
33/64						0.515625	13.096875
34/64	17/32					0.53125	13.49375
35/64						0.546875	13.890625
36/64	xviii/32	9/16				0.5625	14.2875
37/64						0.578125	14.684375
38/64	19/32					0.59375	xv.08125
39/64						0.609375	15.478125
twoscore/64	20/32	10/16	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	11/16				0.6875	17.4625
45/64						0.703125	17.859375
46/64	23/32					0.71875	xviii.25625
47/64						0.734375	18.653125
48/64	24/32	12/16	half-dozen/viii	3/4		0.75	19.05
49/64						0.765625	nineteen.446875
l/64	25/32					0.78125	xix.84375
51/64						0.796875	20.240625
52/64	26/32	13/16				0.8125	twenty.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/xvi	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
sixty/64	30/32	fifteen/sixteen				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	4/4	two/2	1	25.iv