Converting Fractions to Percentages
Converting fractions to percentages is a fundamental math skill used in academics, finance, and everyday life. A percentage is simply a fraction expressed with a denominator of 100.
Formula
Percentage = (Numerator / Denominator) x 100
Conversion Steps
- Divide the numerator by the denominator
- Multiply the result by 100
- Add the % symbol
Examples
Example 1: Convert 3/4 to a percentage
3 / 4 = 0.75
0.75 x 100 = 75%
Example 2: Convert 1/8 to a percentage
1 / 8 = 0.125
0.125 x 100 = 12.5%
Common Fraction-Percent Equivalents
- 1/2 = 50%
- 1/4 = 25%
- 3/4 = 75%
- 1/3 ~= 33.33%
- 2/3 ~= 66.67%
- 1/5 = 20%
- 1/10 = 10%
Practical Uses
Test scores, probability, cooking measurements, statistical data, financial ratios, and survey results all commonly use this conversion.
Quick Tips
- Double-check your inputs for accurate results
- Use parentheses to clarify order of operations
- Results are rounded — consider significant figures
Frequently Asked Questions
Divide the numerator by denominator, then multiply by 100.
1/2 = 50%
3/5 = 60%
Yes, if the numerator is larger than the denominator (improper fraction).
First convert to an improper fraction, then to percent.
1/3 ~= 33.33% (repeating decimal)