Percent to Fraction Calculator
Convert percentages to fractions with step-by-step solutions
How to Convert Percents to Fractions
Converting percentages to fractions is straightforward when you remember that "percent" means "per hundred." This gives us a simple starting point for the conversion.
Step-by-Step Method
- Write the percentage as a fraction over 100
- If there are decimals, multiply to remove them
- Find the GCD and simplify the fraction
- Convert to mixed number if needed
Example: Converting 75%
- Write as 75/100
- Find GCD of 75 and 100 = 25
- Divide both by 25: 3/4
Decimal Percentages
For percentages with decimals (like 12.5%):
- Write as 12.5/100
- Multiply by 10 to remove decimal: 125/1000
- Find GCD (125) and simplify: 1/8
Common Percent to Fraction Conversions
Frequently Asked Questions
How do you convert a percent to a fraction?
Write the percentage as a fraction over 100, then simplify. For example, 50% = 50/100 = 1/2 after dividing both numerator and denominator by 50.
What is 25% as a fraction?
25% equals 1/4. Write it as 25/100, find the GCD (25), and simplify to get 1/4.
How do you handle percentages greater than 100%?
Percentages over 100% become improper fractions or mixed numbers. For example, 150% = 150/100 = 3/2 = 1 1/2.
What about decimal percentages like 12.5%?
First remove the decimal by multiplying both parts. 12.5/100 becomes 125/1000, which simplifies to 1/8.
Why do you put the percentage over 100?
Because "percent" literally means "per hundred" or "out of 100." So 75% means 75 out of 100, which is written as 75/100.
How do you simplify fractions?
Find the greatest common divisor (GCD) of the numerator and denominator, then divide both by this number. This gives you the fraction in its simplest form.