Below space multiple fraction rewildtv.coms capable of addition, subtraction, multiplication, division, simplification, and also conversion in between fractions and decimals. Fields above the solid black line stand for the numerator, if fields listed below represent the denominator.

You are watching: 3/4 plus 3/8

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Mixed numbers rewildtv.com

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Simplify fractions rewildtv.com

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Decimal to fraction rewildtv.com

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Fraction to Decimal rewildtv.com

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Big Number fraction rewildtv.com

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

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In mathematics, a fraction is a number that represents a component of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal components of a whole, if the denominator is the total variety of parts that comprise said whole. For example, in the portion of
3
8
, the molecule is 3, and also the denominator is 8. A much more illustrative example might involve a pie with 8 slices. 1 that those 8 slices would constitute the numerator of a fraction, while the full of 8 slices the comprises the entirety pie would be the denominator. If a human being were come eat 3 slices, the remaining portion of the pie would therefore be
5
8
as presented in the photo to the right. Keep in mind 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 pointed out below.

Addition:

Unlike including and subtracting integers such as 2 and 8, fractions need a usual denominator to undergo these operations. One an approach for finding a common denominator entails multiplying the numerators and also denominators of every one of the fractions connected by the product of the denominators of every fraction. Multiplying every one of the platform ensures the the new denominator is certain to it is in a lot of of each individual denominator. The numerators additionally need to be multiplied by the proper factors to preserve the value of the portion as a whole. This is may be the simplest way to ensure that the fractions have actually a usual denominator. However, in most cases, the options to these equations will certainly not show up in simplified kind (the noted rewildtv.com computes the simplification automatically). Below is an example using this method.

a
b
+ c
d
= a×d
b×d
+ c×b
d×b
= ad + bc
bd
EX: 3
4
+ 1
6
= 3×6
4×6
+ 1×4
6×4
= 22
24
= 11
12

This process can be supplied for any variety of fractions. Simply multiply the numerators and also denominators the each portion in the problem by the product that the platform of all the various other fractions (not including its very own respective denominator) in the problem.

EX: 1
4
+ 1
6
+ 1
2
= 1×6×2
4×6×2
+ 1×4×2
6×4×2
+ 1×4×6
2×4×6
=12
48
+ 8
48
+ 24
48
= 44
48
= 11
12

An alternative technique for finding a common denominator is to recognize the least usual multiple (LCM) for the denominators, then add or subtract the numerators as one would certainly an integer. Using the least common multiple can be much more efficient and is much more likely to an outcome in a portion in streamlined form. In the instance above, the denominators were 4, 6, and 2. The least typical multiple is the an initial shared multiple of these 3 numbers.

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

The very first multiple they every share is 12, so this is the least common multiple. To complete an enhancement (or subtraction) problem, main point the numerators and also denominators that each fraction in the trouble by whatever value will make the denominators 12, then include the numerators.

EX: 1
4
+ 1
6
+ 1
2
= 1×3
4×3
+ 1×2
6×2
+ 1×6
2×6
=3
12
+ 2
12
+ 6
12
= 11
12

Subtraction:

Fraction individually is basically the same as fraction addition. A usual denominator is forced for the operation to occur. Describe the addition section as well as the equations below for clarification.

See more: The Hard Palate Is Made Up Of Which Bones Form The Hard Palate?

a
b
– c
d
= a×d
b×d
– c×b
d×b
= ad – bc
bd
EX: 3
4
– 1
6
= 3×6
4×6
– 1×4
6×4
= 14
24
= 7
12

Multiplication:

Multiplying fountain is fairly straightforward. Unlike including and subtracting, that is not essential to compute a usual denominator in stimulate to multiply fractions. Simply, the numerators and also denominators of each portion are multiplied, and the result forms a new numerator and also denominator. If possible, the solution have to be simplified. Refer to the equations below for clarification.

a
b
× c
d
= ac
bd
EX: 3
4
× 1
6
= 3
24
= 1
8

Division:

The procedure for splitting fractions is comparable to the for multiply fractions. In stimulate to divide fractions, the fraction in the numerator is multiply by the mutual of the fraction in the denominator. The reciprocal of a number a is merely
1
a
. Once a is a fraction, this essentially entails exchanging the place of the numerator and also the denominator. The reciprocal of the portion
3
4
would therefore be
4
3
. Refer to the equations below for clarification.

a
b
/ c
d
= a
b
× d
c
= ad
bc
EX: 3
4
/ 1
6
= 3
4
× 6
1
= 18
4
= 9
2

Simplification:

It is often less complicated to work with streamlined fractions. Together such, fraction solutions are commonly expressed in their streamlined forms.
220
440
because that example, is more cumbersome 보다
1
2
. The rewildtv.com listed returns fraction inputs in both not correct fraction form as well as mixed number form. In both cases, fractions room presented in their lowest forms by dividing both numerator and denominator by their greatest common factor.

Converting in between fractions and also decimals:

Converting from decimal to fractions is straightforward. It does, however, call for the knowledge that each decimal place to the appropriate of the decimal allude represents a strength of 10; the very first decimal location being 101, the second 102, the third 103, and also so on. Simply identify what strength of 10 the decimal extends to, use that power of 10 as the denominator, get in each number to the best of the decimal allude as the numerator, and simplify. Because that example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 104, or 10,000. This would certainly make the portion
1234
10000
, i m sorry simplifies come
617
5000
, due to the fact that the greatest typical factor between the numerator and also denominator is 2.

Similarly, fractions with denominators that are powers of 10 (or have the right to be converted to powers of 10) have the right to be interpreted to decimal kind using the very same principles. Take the fraction
1
2
because that example. To convert this portion into a decimal, very first convert it into the portion of
5
10
. Learning that the an initial decimal place represents 10-1,
5
10
deserve to be convert to 0.5. If the fraction were instead
5
100
, the decimal would certainly then it is in 0.05, and also so on. Beyond this, converting fractions right into decimals calls for the operation of long division.

Common Engineering portion to Decimal Conversions

In engineering, fractions room widely provided to define the dimension of contents such as pipes and also bolts. The most usual fractional and also decimal equivalents are detailed below.

64th32nd16th8th4th2ndDecimalDecimal(inch come mm)
1/640.0156250.396875
2/641/320.031250.79375
3/640.0468751.190625
4/642/321/160.06251.5875
5/640.0781251.984375
6/643/320.093752.38125
7/640.1093752.778125
8/644/322/161/80.1253.175
9/640.1406253.571875
10/645/320.156253.96875
11/640.1718754.365625
12/646/323/160.18754.7625
13/640.2031255.159375
14/647/320.218755.55625
15/640.2343755.953125
16/648/324/162/81/40.256.35
17/640.2656256.746875
18/649/320.281257.14375
19/640.2968757.540625
20/6410/325/160.31257.9375
21/640.3281258.334375
22/6411/320.343758.73125
23/640.3593759.128125
24/6412/326/163/80.3759.525
25/640.3906259.921875
26/6413/320.4062510.31875
27/640.42187510.715625
28/6414/327/160.437511.1125
29/640.45312511.509375
30/6415/320.4687511.90625
31/640.48437512.303125
32/6416/328/164/82/41/20.512.7
33/640.51562513.096875
34/6417/320.5312513.49375
35/640.54687513.890625
36/6418/329/160.562514.2875
37/640.57812514.684375
38/6419/320.5937515.08125
39/640.60937515.478125
40/6420/3210/165/80.62515.875
41/640.64062516.271875
42/6421/320.6562516.66875
43/640.67187517.065625
44/6422/3211/160.687517.4625
45/640.70312517.859375
46/6423/320.7187518.25625
47/640.73437518.653125
48/6424/3212/166/83/40.7519.05
49/640.76562519.446875
50/6425/320.7812519.84375
51/640.79687520.240625
52/6426/3213/160.812520.6375
53/640.82812521.034375
54/6427/320.8437521.43125
55/640.85937521.828125
56/6428/3214/167/80.87522.225
57/640.89062522.621875
58/6429/320.9062523.01875
59/640.92187523.415625
60/6430/3215/160.937523.8125
61/640.95312524.209375
62/6431/320.9687524.60625
63/640.98437525.003125
64/6432/3216/168/84/42/2125.4