Fraction to Percent Calculator
Convert between fractions and percentages instantly
Perfect for students, academics, and anyone working with mathematical conversions
Result
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📖 How to Use
Fraction to Percent:
Enter the numerator and denominator of your fraction. The calculator will instantly convert it to a percentage. For example, enter 1 and 4 to get 25%.
Percent to Fraction:
Enter a percentage value to see its fraction equivalent. The calculator displays both simplified form and mixed number format. For example, 33333% becomes 333 and 33/100.
❔ Frequently Asked Questions
Q: How do I convert a fraction to a percentage?
A: Divide the numerator by the denominator, then multiply by 100. For example, 1/4 = 0.25 × 100 = 25%.
Q: What does it mean when the fraction is simplified?
A: A simplified fraction is reduced to its lowest terms. For example, 50/100 simplified is 1/2. Both represent the same value.
Q: Can I use decimal numbers in the fraction?
A: Yes! You can enter decimal numbers for both numerator and denominator. The calculator will process them correctly.
Q: What is a mixed number?
A: A mixed number combines a whole number with a proper fraction. For example, 1 1/4 means one and one-quarter.
Q: Can the calculator handle percentages greater than 100%?
A: Yes! The calculator can handle any percentage value, including those greater than 100%, negative percentages, and decimals.
📚 Understanding Fractions and Percentages
Fraction Basics
A fraction represents a part of a whole, with a numerator (top number) and denominator (bottom number). The denominator tells you how many equal parts the whole is divided into, and the numerator tells you how many parts you have.
Percentage Basics
A percentage is a way of expressing a number as a fraction of 100. The symbol % represents "out of 100." For example, 50% means 50 out of 100, or 1/2.
Converting Between Fractions and Percentages
To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. To convert a percentage to a fraction, divide by 100 and simplify if possible.
Real-World Applications
Understanding fractions and percentages is essential for grades, statistics, finance, cooking, and many other fields. This calculator helps you quickly convert between these two important mathematical representations.