Convert Percent to Fraction
To convert a Percent to a Fraction follow these steps:
| Step 1: Write down the percent divided by 100. |
| Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.) |
| Step 3: Simplify (or reduce) the fraction |
Example 1: Express 75% as a fraction
Step 1: Write down:
Step 2: The percent is a whole number, so no need for step 2.
Step 3: Simplify the fraction:
| ÷ 25 |
 |
| 75 |
= |
3 |
|
|
| 100 |
4 |
 |
| ÷ 25 |
Answer = 3/4
Note: 75/100 is called a decimal fraction and 3/4 is called a common fraction !
Example 2: Express 62.5% as a fraction
Step 1: Write down:
Step 2: Multiply both top and bottom by 10 (because there is 1 digit after the decimal place)
| |
× 10 |
|
| |
| 62.5 |
= |
625 |
|
|
| 100 |
1,000 |
| |
| |
× 10 |
|
(See how this neatly makes the top a whole number?)
Step 3: Simplify the fraction (this took me two steps, you may be able to do it one!) :
| |
÷ 25 |
|
÷ 5 |
|
| |
| 625 |
= |
25 |
= |
5 |
|
|
|
| 1,000 |
40 |
8 |
| |
| |
÷ 25 |
|
÷ 5 |
|
Answer = 5/8
Example 3: Express 150% as a fraction
Step 1: Write down:
Step 2: The percent is a whole number, so no need for step 2.
Step 3: Simplify the fraction (I did it one step):
| |
÷ 50 |
|
| |
| 150 |
= |
3 |
|
|
| 100 |
2 |
| |
| |
÷ 50 |
|
Answer = 3/2
(which also equals 1½, see Mixed Fractions)
|
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