Table of Contents
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. 🙂
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
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).
- 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 =.
Frequently Asked Questions
How do you convert a percent to a fraction?
Remove the % sign and divide the percentage by 100
How do you turn a fraction into a percent ratio?
Multiply the fracion by 100 and add the % symbol
What is the fraction of 75%?
75/100 or 3/4
Should you have another question don’t hesitate getting in touch with us.
Summary
We sum our article up with the formula, valid for percentages without a decimal separator:Percent to Fraction 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 |