Percentage & Fraction Converter
Your educational math companion. Convert between Percents, Decimals, and Fractions (including Mixed Numbers like "1 1/2") instantly.
Supports mixed: "1 1/2"
Visualizer
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Mastering the Whole
Understanding the relationship between Percentages, Fractions, and Decimals is fundamental to math. Our tool doesn't just give you the answer; it explains how to get there with clear steps and visualizations.
Learn the Steps
Don't just copy the result. See the step-by-step math logic for converting any value, perfect for checking homework.
Visual Learning
Switch between Pie Charts for parts-of-a-whole and Bar Charts for values greater than 100%.
Mixed Numbers
Full support for complex inputs like "1 3/4". We automatically handle conversion between Mixed Numbers and Improper Fractions.
Quick Conversion Cheat Sheet
| Percentage | Decimal | Fraction |
|---|---|---|
| 1% | 0.01 | 1/100 |
| 10% | 0.1 | 1/10 |
| 25% | 0.25 | 1/4 |
| 50% | 0.5 | 1/2 |
| 100% | 1.0 | 1/1 |
Math Tips
- •Percent means "Per 100": Thinking of 25% as "25 per 100 dollar bills" makes it easier to visualize than "0.25".
- •Decimals are Fractions: The first decimal place is tenths (1/10), the second is hundredths (1/100). So 0.45 is literally 45 hundredths (45/100).
Frequently Asked Questions
How do I convert a Percentage to a Fraction?
Write the percentage value over 100 (e.g., 50/100) and then simplify the fraction by dividing top and bottom by their greatest common divisor. 50/100 simplifies to 1/2.
How do I convert a Fraction to a Percentage?
Divide the top number (numerator) by the bottom number (denominator) and multiply the result by 100. For example, for 3/4: 3 ÷ 4 = 0.75, and 0.75 × 100 = 75%.
Can this tool handle Mixed Numbers?
Yes! You can enter values like "1 1/2" or "2.5". The tool will automatically convert them to improper fractions (3/2) and decimals.
How do I convert a Decimal to a Percentage?
Multiply the decimal by 100 and add the % sign. For example, 0.125 × 100 = 12.5%.
What is 100% as a number?
100% is exactly equal to the number 1. It represents the whole. 200% is 2, 50% is 0.5, and so on.
Can percentages be greater than 100%?
Absolutely. If you have 5 apples and you get 5 more, you have 200% of your starting amount. In fractions, this is represented by Improper Fractions (fractions where the top is bigger than the bottom).
What is a Proper vs. Improper Fraction?
A Proper Fraction has a numerator smaller than the denominator (e.g., 1/2). An Improper Fraction has a larger numerator (e.g., 3/2), which basically means it is greater than 1.
What is the simplest form?
A fraction is in simplest form when the top and bottom numbers share no common factors other than 1. For example, 4/8 can be divided by 4 to get 1/2, which is the simplest form.
How do you handle repeating decimals like 33.33...%?
Repeating decimals correspond to specific fractions. 33.33...% is exactly 1/3. Our calculator identifies these patterns to give you the precise fraction rather than an approximation.
What is the difference between a Ratio and a Percentage?
They are related! A percentage is just a ratio with a denominator of 100. So 50% is the ratio 50:100 (or 1:2). Ratios can compare any two numbers (e.g., 2:3), while percentages always compare to the whole (100).
Why visualize percentages?
Visualizing helps understand the 'magnitude'. Seeing that 75% fills three-quarters of a pie chart makes the concept concrete, especially for students.
Are negative percentages possible?
In pure math, yes. A -50% change means a decrease of half. As a fraction, this would be -1/2.