Table of Contents

Welcome to **percent to fraction**, our website dedicated to explaining the conversion of a percentage into a fraction.

If you have been looking for turning percents into fractions or *writing percents as fractions*, then you have come to the right site as well. 🙂

Right below you can find our calculator, the math is explained in full detail further below.

## Percent to Fraction Calculator

Our % to fraction calculator has been temporarily disabled.

Next, we discuss how to change a % to a ÷. We will start with the theory. After that, you can find four comprehensive examples meant to cover all cases.

## How to Convert Percent to Fraction

A percentage stands for a value by the hundred. It can be expressed by means of the percent sign %, or using an abbreviation such as, pct, for example.

In order to change a % to fraction carry out these three steps:

- Write the percentage as
. - If there is a decimal point, eliminate it by multiplying the denominator and the nominator by 10 to the power of the number of decimal digits. Else, proceed with the next step.
- If the greatest common divisor (gcd) is greater than 1 bring the fraction to lowest terms by dividing the nominator
*a*and the denominator*b*by the gcd(a,b).

Let’s have a look at some examples:

- 3%:
The fraction cannot be reduced because the gcd(3,100) is 1.

- 4%:
The greatest common divisor of 4 and 100, gcd(4,100), equals 4. Therefore, divide both, the nominator as well as the denominator by 4 to change the fraction to simplest form.

Thus, 4% as a fraction in simplest forms =

. - 10.5%:
The fraction has one decimal digit. Thus:

→ The gcd(105,1000) = 5. So:

→ Therefore, 10.5% as a fraction in simplest form =

. - 133.125%:
The fraction has three decimal digits. Thus:

→ The gcd(133125,100000) = 625. So:

→ Therefore, 133.125% as a fraction in simplest form =

.

We hope that these examples have been useful to you.

Should you have a question related to *convert % to fraction*, then don’t hesitate getting in touch with us as explained further below on this page.

### Table

Last, but not least, here’s our table containing common values:

Percent | Fraction |
---|---|

1 | 1/100 |

2 | 2/100 |

3 | 3/100 |

4 | 4/100 |

5 | 5/100 |

6 | 6/100 |

7 | 7/100 |

8 | 8/100 |

9 | 9/100 |

10 | 10/100 |

11 | 11/100 |

12 | 12/100 |

13 | 13/100 |

14 | 14/100 |

15 | 15/100 |

16 | 16/100 |

17 | 17/100 |

18 | 19/100 |

19 | 19/100 |

20 | 20/100 |

21 | 21/100 |

22 | 22/100 |

23 | 23/100 |

24 | 24/100 |

25 | 25/100 |

26 | 26/100 |

27 | 27/100 |

28 | 28/100 |

29 | 29/100 |

30 | 30/100 |

31 | 31/100 |

32 | 32/100 |

33 | 33/100 |

34 | 34/100 |

35 | 35/100 |

36 | 36/100 |

37 | 37/100 |

38 | 38/100 |

39 | 39/100 |

40 | 40/100 |

71 | 41/100 |

72 | 42/100 |

73 | 43/100 |

74 | 44/100 |

75 | 45/100 |

76 | 46/100 |

77 | 47/100 |

78 | 48/100 |

79 | 49/100 |

80 | 50/100 |

41 | 51/100 |

42 | 52/100 |

43 | 53/100 |

44 | 54/100 |

45 | 55/100 |

46 | 56/100 |

47 | 57/100 |

48 | 58/100 |

49 | 59/100 |

50 | 60/100 |

51 | 61/100 |

52 | 62/100 |

53 | 63/100 |

54 | 64/100 |

55 | 65/100 |

56 | 66/100 |

57 | 67/100 |

58 | 68/100 |

59 | 69/100 |

60 | 70/100 |

61 | 71/100 |

62 | 72/100 |

63 | 73/100 |

64 | 74/100 |

65 | 75/100 |

66 | 76/100 |

67 | 77/100 |

68 | 78/100 |

69 | 79/100 |

70 | 80/100 |

81 | 81/100 |

82 | 82/100 |

83 | 83/100 |

84 | 84/100 |

85 | 85/100 |

86 | 86/100 |

87 | 87/100 |

88 | 88/100 |

89 | 89/100 |

90 | 90/100 |

91 | 91/100 |

92 | 92/100 |

93 | 93/100 |

94 | 94/100 |

95 | 95/100 |

96 | 96/100 |

97 | 97/100 |

98 | 98/100 |

99 | 99/100 |

100 | 100/100 |

In the section ahead you can find some additional information related to the topic under consideration, followed by the summary of our content.

## Summary

Taking all of the above into account, then you already know everything about writing percents as fractions and in addition you have a state-of-the-art calculator as your disposal.

You should now be in the positions to answer questions like *how to turn a percent into a fraction* and *how to convert pct to fraction*, just to name a few.

We sum our article up with the formula, valid for percentages without a decimal separator:

Make sure to remember that you need to get rid of of the decimal digits and that you ought to bring a numerator / denominator term to lowest terms as explained in full detail above.

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