Topic Details (Notes format)

Percentage to Fraction Table

Subject: Mathematics

Book: Basic Math Operations

Converting percentages to fractions is an essential arithmetic skill. A “percent” represents a certain number of parts per 100. By placing the percentage as the numerator over 100, you can then simplify the resulting fraction. Below is a commonly used reference for quickly converting key percentages into fraction form.

### Common Percentage-to-Fraction Conversions:
1. **1%** → 1/100
2. **5%** → 5/100 → 1/20
3. **10%** → 10/100 → 1/10
4. **12.5%** → 12.5/100 → 1/8
5. **20%** → 20/100 → 1/5
6. **25%** → 25/100 → 1/4
7. **33⅓%** (approx. 33.3%) → 1/3
8. **40%** → 40/100 → 2/5
9. **50%** → 50/100 → 1/2
10. **60%** → 60/100 → 3/5
11. **66⅔%** (approx. 66.7%) → 2/3
12. **75%** → 75/100 → 3/4
13. **80%** → 80/100 → 4/5
14. **90%** → 90/100 → 9/10
15. **100%** → 100/100 → 1

### Quick Tips for Converting:
- **General Formula**: (Percent) ÷ 100 = fraction. Simplify if possible.
- **Reduce**: For instance, 40% becomes 40/100, then dividing numerator and denominator by 20 gives 2/5.
- **Repeating Decimals**: Values like 33⅓% and 66⅔% are repeating decimals; writing them as fractions (1/3, 2/3) is often easier.
- **Familiarity**: Knowing a few key conversions—such as 25% = 1/4, 50% = 1/2—speeds up mental math.

By memorizing these typical conversions, you can effortlessly switch between percentages, fractions, and decimals—be it for shopping discounts, data analysis, or test preparations.