2 5 6 7 10 9 14

KlikBelajar.com – 2 5 6 7 10 9 14

Fraction Calculator

Below are multiple fraction calculators capable of addition, subtraction, multiplication, segmentation, simplification, and conversion between 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 Calculator

Result

Adding steps:

=

?
?

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 make up said whole. For example, in the fraction of

, the numerator is 3, and the denominator is eight. A more illustrative case could involve a pie with eight slices. i 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

equally shown in the image to the right. Annotation 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 2 and eight, fractions require a common denominator to undergo these operations. One method for finding a mutual 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 likewise need to be multiplied by the appropriate factors to preserve the value of the fraction equally a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in near cases, the solutions to these equations volition not appear in simplified form (the provided reckoner computes the simplification automatically). Below is an case using this method.

Baca :   Sin 750

This process tin can exist used for whatever number of fractions. Merely 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 together or subtract the numerators as one would an integer. Using the least common multiple tin can be more efficient and is more likely to effect in a fraction in simplified form. In the example above, the denominators were 4, 6, and 2. The least common multiple is the get-go shared multiple of these 3 numbers.

Multiples of 2: 2, iv, six, 8 10,
12
Multiples of iv: iv, viii,
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) trouble, multiply the numerators and denominators of each fraction in the trouble past whatever value will brand the denominators 12, then add the numerators.

Subtraction:

Fraction subtraction is substantially the aforementioned as fraction addition. A common denominator is required for the operation to occur. Refer to the addition department equally well every bit the equations beneath for clarification.

Multiplication:

Multiplying fractions is adequately straightforward. Unlike adding and subtracting, information technology is not necessary to compute a mutual denominator in order to multiply fractions. Only, 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 description.

Baca :   Gradien Dari Persamaan Garis 6x 2y 8 Adalah

Division:

The process for dividing fractions is similar to that for multiplying fractions. In guild to split up 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 clarification.

Simplification:

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

for example, is more cumbersome than

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

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 signal represents a power of 10; the beginning decimal place being 101, the 2nd ten2, the third 10three, and so on. Simply determine what power of 10 the decimal extends to, employ that power of 10 equally the denominator, enter each number to the correct of the decimal point as the numerator, and simplify. For case, looking at the number 0.1234, the number iv is in the fourth decimal place, which constitutes 104, or x,000. This would brand 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) can be translated to decimal class using the same principles. Take the fraction

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

. Knowing that the first decimal place represents ten-i,

can be converted to 0.5. If the fraction were instead

, the decimal would and so exist 0.05, and so on. Beyond this, converting fractions into decimals requires the functioning of long sectionalization.

Baca :   Nilai Dari Tan 105

Common Engineering Fraction to Decimal Conversions

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

64th 32nd 16th viiithursday 4thursday 2nd Decimal Decimal
(inch to mm)
1/64 0.015625 0.396875
2/64 i/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 1.984375
half-dozen/64 3/32 0.09375 2.38125
7/64 0.109375 two.778125
viii/64 4/32 2/16 i/8 0.125 3.175
nine/64 0.140625 3.571875
10/64 5/32 0.15625 3.96875
11/64 0.171875 iv.365625
12/64 vi/32 3/16 0.1875 4.7625
13/64 0.203125 5.159375
14/64 vii/32 0.21875 v.55625
15/64 0.234375 v.953125
16/64 viii/32 4/16 2/8 1/iv 0.25 vi.35
17/64 0.265625 6.746875
18/64 9/32 0.28125 vii.14375
19/64 0.296875 7.540625
20/64 10/32 5/xvi 0.3125 7.9375
21/64 0.328125 8.334375
22/64 11/32 0.34375 8.73125
23/64 0.359375 9.128125
24/64 12/32 half dozen/xvi 3/eight 0.375 9.525
25/64 0.390625 9.921875
26/64 13/32 0.40625 10.31875
27/64 0.421875 10.715625
28/64 14/32 vii/xvi 0.4375 xi.1125
29/64 0.453125 xi.509375
30/64 fifteen/32 0.46875 11.90625
31/64 0.484375 12.303125
32/64 16/32 8/16 iv/8 2/4 1/two 0.5 12.7
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 14.2875
37/64 0.578125 xiv.684375
38/64 19/32 0.59375 15.08125
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 xvi.66875
43/64 0.671875 17.065625
44/64 22/32 xi/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/sixteen 6/viii iii/4 0.75 19.05
49/64 0.765625 nineteen.446875
50/64 25/32 0.78125 19.84375
51/64 0.796875 twenty.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 xiv/16 7/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
60/64 thirty/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/sixteen viii/8 4/4 two/2 1 25.4

2 5 6 7 10 9 14

Sumber: https://pedidikanindonesia.com/2-5-6-7-10-9-14/

Check Also

Contoh Soal Perkalian Vektor

Contoh Soal Perkalian Vektor. Web log Koma – Setelah mempelajari beberapa operasi hitung pada vektor …