Fraction to Percent Calculator
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Steps to Convert Fraction to Percent:
How to Convert a Fraction to a Percent 
Converting a fraction to a percent involves two straightforward steps. Let's go through each step in detail.
Step 1: Convert the Fraction to a Decimal
The first step is to convert the fraction to a decimal. To do this, divide the numerator (top number) by the denominator (bottom number).
decimal = numerator ÷ denominator(alert-success)
For example, let's convert the fraction 3/4 to a percent. Begin by converting it to a decimal:
3/4 = 3 ÷ 4 = 0.75
Hence, the decimal value of 3/4 is 0.75.
Here’s a tip: you might be able to use a decimal equivalents chart for a list of decimal values for common fractions to convert a fraction to decimal without using division.(alert-passed)
You might also be interested in our long division calculator.
Step 2: Convert the Decimal Value to a Percentage
The second step is to convert the decimal to a percentage. To achieve this, multiply the decimal by 100 (or move the decimal point two places to the right) and add the percentage symbol (%).
Continuing from the previous example, let's convert 0.75 to a percentage:0.75 × 100 = 75%Therefore, the percentage value of 0.75 is 75%. Consequently, 3/4 as a percent is 75%.(alert-success)
To summarize, converting a fraction to a percent involves converting the fraction to a decimal and then multiplying the decimal by 100 and adding the percent symbol.
Converting a Mixed Number to a Percent
The aforementioned steps are applicable to proper and improper fractions. However, for mixed numbers (a whole number combined with a proper fraction), there is an additional step.
To convert a mixed number to a percent, follow these steps:
1. Convert the fractional part to a decimal using the previous steps.
2. Multiply the whole number by 100%.
3. Add the percentage found in the fractional part to the result from step 2.
For example, let's convert the mixed number 1 3/4 to a percent:Start by converting the fractional part:3/4 = 3 ÷ 4 = 0.75 = 75%Next, multiply the whole number (1) by 100%:1 × 100% = 100%Finally, add the two results:100% + 75% = 175%Hence, the result is 175%.(alert-success)
Alternatively, you can convert the mixed number to an improper fraction and follow the same steps as converting a decimal to a percent.
For instance, let's convert 1 3/4 to a percent using this method:1 3/4 = 7/47 ÷ 4 = 1.751.75 × 100 = 175%(alert-success)
Fraction to Percent Conversion Chart
Another handy way to convert fractions to percents is by referring to a conversion chart. The chart provides the percent equivalents for various common fractions.
| Fraction | Percent |
|---|---|
| 1/2 | 50% |
| 1/3 | 33.3% |
| 2/3 | 66.6% |
| 1/4 | 25% |
| 3/4 | 75% |
| 1/5 | 20% |
| 2/5 | 40% |
| 3/5 | 60% |
| 4/5 | 80% |
| 1/6 | 16.66% |
| 5/6 | 83.33% |
| 1/8 | 12.5% |
| 3/8 | 37.5% |
| 5/8 | 62.5% |
| 7/8 | 87.5% |
| 1/9 | 11.1% |
| 2/9 | 22.2% |
| 4/9 | 44.4% |
| 5/9 | 55.5% |
| 7/9 | 77.7% |
| 8/9 | 88.8% |
| 1/10 | 10% |
| 1/12 | 8.333% |
| 1/16 | 6.25% |
see more fraction percent equivalents.
Recommended Fractions Resources
Least Common Denominator Calculator
Decimal to Fraction Calculator
Mixed Number Calculator
Subtracting Fractions Calculator
Adding Fractions Calculator
