Fraction Between 3/4 And 7/8

Fraction Calculator

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

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Mixed Numbers Calculator

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Simplify Fractions Calculator

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Decimal to Fraction Estimator

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Fraction to Decimal Calculator

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Big Number Fraction Figurer

Use this calculator 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. 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 upwards said whole. For instance, in the fraction of

, the numerator is 3, and the denominator is 8. A more than illustrative instance could involve a pie with 8 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 3 slices, the remaining fraction of the pie would therefore be

as shown in the prototype to the right. Note that the denominator of a fraction cannot be 0, every bit information technology would make the fraction undefined. Fractions can undergo many dissimilar operations, some of which are mentioned beneath.

Addition:

Unlike adding and subtracting integers such every bit 2 and 8, 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 by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is sure to be a multiple of each individual 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 nearly cases, the solutions to these equations will non appear in simplified grade (the provided calculator computes the simplification automatically). Below is an example using this method.

This process can be used for whatsoever number of fractions. But 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 trouble.

An alternative method for finding a mutual denominator is to decide the least mutual multiple (LCM) for the denominators, so add or subtract the numerators as i would an integer. Using the least common multiple can be more than efficient and is more likely to effect in a fraction in simplified course. In the example above, the denominators were 4, vi, and 2. The least common multiple is the commencement shared multiple of these 3 numbers.

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

Multiples of 4: four, 8, 12

Multiples of 6: 6, 12

The first multiple they all share is 12, so this is the least common multiple. To consummate an addition (or subtraction) trouble, 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 performance to occur. Refer to the improver section as well equally the equations below for clarification.

Multiplication:

Multiplying fractions is adequately straightforward. Unlike adding and subtracting, information technology is not 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 be simplified. Refer to the equations below for clarification.

Segmentation:

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 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 description.

Simplification:

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

for example, is more than cumbersome than

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

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, yet, require the agreement that each decimal place to the right of the decimal bespeak represents a power of 10; the starting time decimal place being xⁱ, the second ten², the third xⁱⁱⁱ, and and then on. Simply determine what power of 10 the decimal extends to, use that power of x as the denominator, enter each number to the right 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^four, or 10,000. 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 ten) can exist translated to decimal form using the same principles. Have the fraction

for example. To convert this fraction into a decimal, get-go convert it into the fraction of

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

can be converted to 0.5. If the fraction were instead

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

Common Engineering 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 below.

64^th	32^nd	16^thursday	eight^th	four^th	2^nd	Decimal	Decimal (inch to mm)
1/64						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	1.5875
5/64						0.078125	ane.984375
6/64	iii/32					0.09375	2.38125
7/64						0.109375	2.778125
8/64	4/32	two/16	1/eight			0.125	3.175
9/64						0.140625	3.571875
ten/64	5/32					0.15625	3.96875
11/64						0.171875	four.365625
12/64	6/32	3/sixteen				0.1875	4.7625
xiii/64						0.203125	5.159375
14/64	7/32					0.21875	5.55625
15/64						0.234375	5.953125
sixteen/64	eight/32	4/16	ii/viii	1/iv		0.25	half dozen.35
17/64						0.265625	vi.746875
18/64	nine/32					0.28125	7.14375
19/64						0.296875	7.540625
20/64	x/32	v/xvi				0.3125	7.9375
21/64						0.328125	eight.334375
22/64	11/32					0.34375	viii.73125
23/64						0.359375	ix.128125
24/64	12/32	6/16	3/8			0.375	nine.525
25/64						0.390625	nine.921875
26/64	13/32					0.40625	10.31875
27/64						0.421875	x.715625
28/64	14/32	7/16				0.4375	11.1125
29/64						0.453125	xi.509375
30/64	fifteen/32					0.46875	eleven.90625
31/64						0.484375	12.303125
32/64	16/32	8/16	4/8	2/4	1/2	0.5	12.7
33/64						0.515625	13.096875
34/64	17/32					0.53125	xiii.49375
35/64						0.546875	13.890625
36/64	eighteen/32	9/16				0.5625	fourteen.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	10/16	five/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	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/xvi	6/eight	iii/4		0.75	19.05
49/64						0.765625	19.446875
50/64	25/32					0.78125	nineteen.84375
51/64						0.796875	20.240625
52/64	26/32	13/16				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	vii/eight			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	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	xvi/sixteen	eight/8	4/four	ii/two	1	25.four