# 1, 2, 3, 4, 5

Below are multiple fraction depsangtrong.coms capable of addition, subtraction, multiplication, division, simplification, và conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator.

Bạn đang xem: 1, 2, 3, 4, 5

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## Mixed Numbers depsangtrong.com

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## Simplify Fractions depsangtrong.com

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## Decimal to Fraction depsangtrong.com

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## Fraction lớn Decimal depsangtrong.com

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## Big Number Fraction depsangtrong.com

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

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In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator & a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that biến hóa said whole. For example, in the fraction of

3 |

8 |

5 |

8 |

### Addition:

Unlike adding & subtracting integers such as 2 và 8, fractions require a common denominator to undergo these operations. One method for finding a common denominator involves multiplying the numerators và denominators of all of the fractions involved by the sản phẩm of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to lớn be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to lớn preserve the value of the fraction as a whole. This is arguably the simplest way lớn ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified size (the provided depsangtrong.com computes the simplification automatically). 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 process can be used for any number of fractions. Just multiply the numerators and denominators of each fraction in the problem by the hàng hóa of the denominators of all the other fractions (not including its own respective denominator) in the problem.

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EX: | 1 |

4 |

6 |

2 |

4×6×2 |

6×4×2 |

2×4×6 |

48 |

48 |

48 |

48 |

12 |

An alternative method for finding a common denominator is lớn determine the least common multiple (LCM) for the denominators, then địa chỉ cửa hàng or subtract the numerators as one would an integer. Using the least common multiple can be more efficient & is more likely khổng lồ result in a fraction in simplified form. In the example above, the denominators were 4, 6, & 2. The least common multiple is the first shared 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 giới thiệu is 12, so this is the least common multiple. Khổng lồ complete an addition (or subtraction) problem, multiply the numerators và denominators of each fraction in the problem by whatever value will make the denominators 12, then địa chỉ cửa hàng the numerators.

EX: | 1 |

4 |

6 |

2 |

4×3 |

6×2 |

2×6 |

12 |

12 |

12 |

12 |

### Subtraction:

Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation khổng lồ occur. Refer khổng lồ the addition section as well as the equations 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 adding & subtracting, it is not necessary lớn compute a common denominator in order to multiply fractions. Simply, the numerators & denominators of each fraction are multiplied, and the result forms a new numerator và denominator. If possible, the solution should be simplified. Refer to lớn the equations below for clarification.

a |

b |

d |

bd |

EX: | 3 |

4 |

6 |

24 |

8 |

### Division:

The process for dividing fractions is similar khổng lồ that for multiplying fractions. In order lớn 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

1 |

a |

3 |

4 |

4 |

3 |

a |

b |

d |

b |

c |

bc |

EX: | 3 |

4 |

6 |

4 |

1 |

4 |

2 |

### Simplification:

It is often easier khổng lồ work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.

220 |

440 |

1 |

2 |

### Converting between fractions & decimals:

Converting from decimals lớn fractions is straightforward. It does, however, require the understanding that each decimal place lớn the right of the decimal point represents a power nguồn of 10; the first decimal place being 101, the second 102, the third 103, and so on. Simply determine what power of 10 the decimal extends to, use that nguồn of 10 as the denominator, enter each number to the right of the decimal point as the numerator, & simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 104, or 10,000. This would make the fraction

1234 |

10000 |

617 |

5000 |

Similarly, fractions with denominators that are powers of 10 (or can be converted lớn powers of 10) can be translated lớn decimal form using the same principles. Take the fraction

1 |

2 |

5 |

10 |

5 |

10 |

5 |

100 |

### Common Engineering Fraction to Decimal Conversions

In engineering, fractions are widely used to lớn describe the kích thước of components such as pipes and bolts. The most common fractional & decimal equivalents are listed below.

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