Converting Percent to Fraction
Converting percentages to fractions helps you work with exact values instead of decimals. This is particularly useful in cooking, crafts, and situations requiring precise ratios.
Conversion Process
- Write the percentage as a fraction over 100
- Simplify the fraction by dividing both numerator and denominator by their GCD
- The result is your simplified fraction
Examples
Example 1: Convert 75% to a fraction
75% = 75/100 = 3/4 (dividing by 25)
Example 2: Convert 40% to a fraction
40% = 40/100 = 2/5 (dividing by 20)
Example 3: Convert 125% to a fraction
125% = 125/100 = 5/4 (dividing by 25)
Common Percent-Fraction Equivalents
- 50% = 1/2
- 25% = 1/4
- 75% = 3/4
- 33.33% ~= 1/3
- 66.67% ~= 2/3
- 20% = 1/5
- 10% = 1/10
Why Use Fractions?
Fractions provide exact values, are easier to scale, and are traditional in recipes and measurements. They're also easier to visualize for some people.
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
Write it as a fraction over 100, then simplify.
50% = 1/2
25% = 1/4
Divide both numerator and denominator by their greatest common divisor.
100% = 1/1 or just 1
Yes, percentages over 100% become improper fractions.