Below space multiple portion rebab.nets capable of addition, subtraction, multiplication, division, simplification, and conversion in between fractions and also decimals. Fields above the solid black line represent the numerator, while fields listed below represent the denominator.

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## Mixed number rebab.net

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## Simplify fountain rebab.net

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## Decimal to portion rebab.net

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## Fraction to Decimal rebab.net

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## Big Number portion rebab.net

Use this rebab.net if the numerators or denominators are very huge integers.

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In mathematics, a portion is a number the represents a component of a whole. It is composed of a numerator and a denominator. The molecule represents the variety of equal parts of a whole, while the denominator is the total number of parts that comprise said whole. Because that example, in the fraction of

3 |

8 |

5 |

8 |

### Addition:

Unlike including and subtracting integers such as 2 and also 8, fractions need a usual denominator come undergo these operations. One method for detect a common denominator involves multiplying the numerators and denominators of every one of the fractions associated by the product the the platform of every fraction. Multiplying all of the platform ensures the the brand-new denominator is particular to it is in a multiple of every individual denominator. The numerators also need come be multiplied by the ideal factors to preserve the worth of the fraction as a whole. This is arguably the simplest means to ensure the the fractions have a typical denominator. However, in most cases, the services to this equations will not appear in simplified type (the noted rebab.net computes the leveling automatically). Listed below is an example using this method.

a |

b |

d |

b×d |

d×b |

bd |

EX: | 3 |

4 |

6 |

4×6 |

6×4 |

24 |

12 |

This procedure can be supplied for any variety of fractions. Simply multiply the numerators and denominators that each fraction in the trouble by the product of the denominators of all the other fractions (not consisting of its very own respective denominator) in the problem.

EX: | 1 |

4 |

6 |

2 |

4×6×2 |

6×4×2 |

2×4×6 |

48 |

48 |

48 |

48 |

12 |

An alternative technique for recognize a typical denominator is to recognize the least typical multiple (LCM) for the denominators, then add or subtract the numerators together one would certainly an integer. Making use of the least typical multiple can be much more efficient and also is more likely to result in a portion in streamlined form. In the instance above, the denominators to be 4, 6, and 2. The least typical multiple is the first shared multiple of these three numbers.

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

Multiples the 4: 4, 8, 12 |

Multiples that 6: 6, 12 |

The an initial multiple they all share is 12, therefore this is the least usual multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each portion in the problem by every little thing value will make the platform 12, then add the numerators.

EX: | 1 |

4 |

6 |

2 |

4×3 |

6×2 |

2×6 |

12 |

12 |

12 |

12 |

### Subtraction:

Fraction individually is essentially the same as portion addition. A usual denominator is compelled for the operation to occur. Refer to the enhancement section as well as the equations listed below for clarification.

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a |

b |

d |

b×d |

d×b |

bd |

EX: | 3 |

4 |

6 |

4×6 |

6×4 |

24 |

12 |

### Multiplication:

Multiplying fractions is fairly straightforward. Unlike including and subtracting, it is not important to compute a typical denominator in stimulate to main point fractions. Simply, the numerators and denominators the each portion are multiplied, and the result forms a brand-new numerator and also denominator. If possible, the solution must be simplified. Describe the equations listed below for clarification.

a |

b |

d |

bd |

EX: | 3 |

4 |

6 |

24 |

8 |

### Division:

The procedure for dividing fractions is comparable to the for multiplying fractions. In stimulate to divide fractions, the fraction in the molecule is multiply by the mutual of the fraction in the denominator. The mutual of a number **a** is merely

1 |

a |

3 |

4 |

4 |

3 |

a |

b |

d |

b |

c |

bc |

EX: | 3 |

4 |

6 |

4 |

1 |

4 |

2 |

### Simplification:

It is often less complicated to work with simplified fractions. Together such, portion solutions are commonly expressed in their simplified forms.

220 |

440 |

1 |

2 |

### Converting in between fractions and also decimals:

Converting from decimals to fountain is straightforward. The does, however, require the expertise that every decimal place to the ideal of the decimal suggest represents a strength of 10; the an initial decimal place being 101, the second 102, the 3rd 103, and so on. Simply identify what power of 10 the decimal expand to, usage that strength of 10 together the denominator, get in each number come the best of the decimal suggest as the numerator, and also simplify. For example, looking at the number 0.1234, the number 4 is in the 4th decimal place, which constitutes 104, or 10,000. This would make the portion

1234 |

10000 |

617 |

5000 |

Similarly, fractions v denominators that are powers that 10 (or can be convert to powers of 10) deserve to be analyzed to decimal type using the very same principles. Take it the fraction

1 |

2 |

5 |

10 |

5 |

10 |

5 |

100 |

### Common Engineering fraction to Decimal Conversions

In engineering, fractions space widely supplied to explain the dimension of contents such as pipes and bolts. The most common fractional and decimal equivalents are provided below.

64th | 32nd | 16th | 8th | 4th | 2nd | Decimal | Decimal(inch come 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 | 1.984375 | |||||

6/64 | 3/32 | 0.09375 | 2.38125 | ||||

7/64 | 0.109375 | 2.778125 | |||||

8/64 | 4/32 | 2/16 | 1/8 | 0.125 | 3.175 | ||

9/64 | 0.140625 | 3.571875 | |||||

10/64 | 5/32 | 0.15625 | 3.96875 | ||||

11/64 | 0.171875 | 4.365625 | |||||

12/64 | 6/32 | 3/16 | 0.1875 | 4.7625 | |||

13/64 | 0.203125 | 5.159375 | |||||

14/64 | 7/32 | 0.21875 | 5.55625 | ||||

15/64 | 0.234375 | 5.953125 | |||||

16/64 | 8/32 | 4/16 | 2/8 | 1/4 | 0.25 | 6.35 | |

17/64 | 0.265625 | 6.746875 | |||||

18/64 | 9/32 | 0.28125 | 7.14375 | ||||

19/64 | 0.296875 | 7.540625 | |||||

20/64 | 10/32 | 5/16 | 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 | 6/16 | 3/8 | 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 | 7/16 | 0.4375 | 11.1125 | |||

29/64 | 0.453125 | 11.509375 | |||||

30/64 | 15/32 | 0.46875 | 11.90625 | ||||

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 | 13.49375 | ||||

35/64 | 0.546875 | 13.890625 | |||||

36/64 | 18/32 | 9/16 | 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 | 10/16 | 5/8 | 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 | 11/16 | 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 | 12/16 | 6/8 | 3/4 | 0.75 | 19.05 | |

49/64 | 0.765625 | 19.446875 | |||||

50/64 | 25/32 | 0.78125 | 19.84375 | ||||

51/64 | 0.796875 | 20.240625 | |||||

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 | 14/16 | 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 | |||||

60/64 | 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 | 16/16 | 8/8 | 4/4 | 2/2 | 1 | 25.4 |