Below are multiple fraction slrfc.orgs capable of addition, subtractivity, multiplication, department, simplification, and also convariation between fractions and also decimals. Fields above the solid black line recurrent the numerator, while areas below represent the denominator.

You are watching: 2/3 + 2/3 + 2/3

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## Mixed Numbers slrfc.org

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## Simplify Fractions slrfc.org

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## Decimal to Fraction slrfc.org

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## Fraction to Decimal slrfc.org

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## Big Number Fractivity slrfc.org

Use this slrfc.org if the numerators or denominators are incredibly huge integers.

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In mathematics, a fraction is a number that represents a component of a totality. It is composed of a numerator and a denominator. The numerator represents the variety of equal parts of a totality, while the denominator is the complete variety of components that comprise shelp entirety. For instance, in the fractivity of

3 |

8 |

5 |

8 |

### Addition:

Unchoose adding and also subtracting integers such as 2 and also 8, fractions require a widespread denominator to undergo these operations. One strategy for finding a prevalent denominator requires multiplying the numerators and denominators of all of the fractions connected by the product of the denominators of each fraction. Multiplying every one of the denominators ensures that the brand-new denominator is specific to be a multiple of each individual denominator. The numerators likewise have to be multiplied by the proper components to maintain the value of the fraction all at once. This is arguably the most basic method to encertain that the fractions have actually a widespread denominator. However, in many situations, the remedies to these equations will certainly not appear in streamlined develop (the offered slrfc.org computes the simplification automatically). Below is an instance using this strategy.

a |

b |

d |

b×d |

d×b |

bd |

EX: | 3 |

4 |

6 |

4×6 |

6×4 |

24 |

12 |

This process can be provided for any number of fractions. Just multiply the numerators and also denominators of each fraction in the difficulty by the product of the denominators of all the various other fractions (not including its own corresponding denominator) in the difficulty.

EX: | 1 |

4 |

6 |

2 |

4×6×2 |

6×4×2 |

2×4×6 |

48 |

48 |

48 |

48 |

12 |

An alternative strategy for finding a widespread denominator is to identify the least common multiple (LCM) for the denominators, then include or subtract the numerators as one would an integer. Using the leastern widespread multiple can be more reliable and also is more most likely to cause a portion in streamlined create. In the instance over, the denominators were 4, 6, and also 2. The least common multiple is the first mutual multiple of these three numbers.

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

Multiples of 4: 4, 8, 12 |

Multiples of 6: 6, 12 |

The first multiple they all share is 12, so this is the leastern prevalent multiple. To complete an addition (or subtraction) difficulty, multiply the numerators and denominators of each fractivity in the difficulty by whatever worth will certainly make the denominators 12, then include the numerators.

EX: | 1 |

4 |

6 |

2 |

4×3 |

6×2 |

2×6 |

12 |

12 |

12 |

12 |

### Subtraction:

Fraction subtraction is basically the very same as fractivity addition. A widespread denominator is required for the operation to occur. Refer to the enhancement area and the equations listed below for clarification.

See more: Indicate, By Letter, The Strongest Acid And The Weakest Acid Of Those Below.

a |

b |

d |

b×d |

d×b |

bd |

EX: | 3 |

4 |

6 |

4×6 |

6×4 |

24 |

12 |

### Multiplication:

Multiplying fractions is reasonably straightforward. Unchoose adding and subtracting, it is not essential to compute a widespread denominator in order to multiply fractions. Ssuggest, the numerators and also denominators of each fraction are multiplied, and also the result creates a brand-new numerator and also denominator. If possible, the solution should be simplified. Refer to the equations below for clarification.

a |

b |

d |

bd |

EX: | 3 |

4 |

6 |

24 |

8 |

### Division:

The procedure for splitting fractions is equivalent to that for multiplying fractions. In order to divide fractions, the fractivity in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number **a** is simply

1 |

a |

3 |

4 |

4 |

3 |

a |

b |

d |

b |

c |

bc |

EX: | 3 |

4 |

6 |

4 |

1 |

4 |

2 |

### Simplification:

It is regularly much easier to work via streamlined fractions. Because of this, fraction solutions are commonly expressed in their simplified forms.

220 |

440 |

1 |

2 |

### Converting between fractions and also decimals:

Converting from decimals to fractions is straightforward. It does, however, require the expertise that each decimal location to the right of the decimal suggest represents a power of 10; the initially decimal place being 101, the second 102, the third 103, and also so on. Ssuggest identify what power of 10 the decimal exhas a tendency to, usage that power of 10 as the denominator, enter each number to the best of the decimal point as the numerator, and also simplify. For instance, 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 fraction

1234 |

10000 |

617 |

5000 |

Similarly, fractions through denominators that are powers of 10 (or deserve to be converted to powers of 10) can be translated to decimal develop utilizing the exact same principles. Take the fraction

1 |

2 |

5 |

10 |

5 |

10 |

5 |

100 |

### Usual Engineering Fraction to Decimal Conversions

In engineering, fractions are extensively offered to describe the size of components such as pipes and bolts. The many common fractional and decimal equivalents are noted below.

64th | 32nd | 16th | 8th | 4th | 2nd | 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 | 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 |