# FIND 1/2, 1/4, 1/3 OR 3/4 OF A SET OF OBJECTS DIFFERENTIATED

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

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+ - x / | = | ? | ||

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## Mixed Numbers thuphikhongdung.vn

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## Simplify Fractions thuphikhongdung.vn

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## Decimal lớn Fraction thuphikhongdung.vn

= | ? |

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## Fraction khổng lồ Decimal thuphikhongdung.vn

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## Big Number Fraction thuphikhongdung.vn

Use this thuphikhongdung.vn 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 trang điểm said whole. For example, in the fraction of

3 |

8 |

5 |

8 |

### Addition:

Unlike adding và subtracting integers such as 2 and 8, fractions require a common denominator lớn undergo these operations. One method for finding a common denominator involves multiplying the numerators & 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 be a multiple of each individual denominator. The numerators also need lớn be multiplied by the appropriate factors khổng lồ 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 form (the provided thuphikhongdung.vn computes the simplification automatically). Below is an example using this method.

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a |

b |

d |

b×d |

d×b |

bd |

EX: | 3 |

4 |

6 |

4×6 |

6×4 |

24 |

12 |

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 khổng lồ 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 and is more likely lớn result in a fraction in simplified form. In the example above, the denominators were 4, 6, và 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 cốt truyện is 12, so this is the least common multiple. Khổng lồ complete an addition (or subtraction) problem, multiply the numerators & denominators of each fraction in the problem by whatever value will make the denominators 12, then add the numerators.

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EX: | 1 |

4 |

6 |

2 |

4×3 |

6×2 |

2×6 |

12 |

12 |

12 |

12 |

### Subtraction:

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 khổng lồ compute a common denominator in order khổng lồ multiply fractions. Simply, the numerators & denominators of each fraction are multiplied, & the result forms a new numerator và denominator. If possible, the solution should be simplified. Refer khổng lồ the equations below for clarification.

a |

b |

d |

bd |

EX: | 3 |

4 |

6 |

24 |

8 |

### Division:

**The process for dividing fractions is similar to lớn that for multiplying fractions. In order to 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 lớn work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.

220 |

440 |

1 |

2 |

### Converting between fractions and decimals:

Converting from decimals to lớn fractions is straightforward. It does, however, require the understanding that each decimal place khổng lồ the right of the decimal point represents a power of 10; the first decimal place being 101, the second 102, the third 103, & so on. Simply determine what power of 10 the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and 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 lớn describe the kích cỡ of components such as pipes & bolts. The most common fractional & decimal equivalents are listed below.

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