Fraction to Percent Calculator
Convert fractions to percentages and vice versa with step-by-step solutions
Convert Fraction to Percentage
The number above the fraction line
The number below the fraction line (cannot be zero)
Conversion Results
Common Fractions and Percentages
Quick Examples
Example 1: 3/4
3 ÷ 4 = 0.75
0.75 × 100 = 75%
Example 2: 60%
60% = 60/100
Simplified: 3/5
Example 3: 5/8
5 ÷ 8 = 0.625
0.625 × 100 = 62.5%
Formulas
Fraction to Percent
Percentage = (n/d) × 100n = numerator, d = denominator
Percent to Fraction
Fraction = p/100p = percentage value
Understanding Fractions and Percentages
What is a Fraction?
A fraction represents a part of a whole. It consists of two parts: the numerator (top number) which indicates how many parts you have, and the denominator (bottom number) which shows how many parts the whole is divided into.
What is a Percentage?
A percentage is a way of expressing a number as a fraction of 100. The word "percent" comes from the Latin "per centum," meaning "per hundred." The symbol % means "out of 100."
Why Convert?
- •Percentages are easier to compare and understand
- •Common in statistics, finance, and everyday calculations
- •Useful for data visualization and reporting
Conversion Methods
Method 1: Division & Multiplication
1. Divide numerator by denominator
2. Multiply result by 100
3. Add the % symbol
Method 2: Cross Multiplication
Set up: n/d = x/100
Solve: x = (n × 100) ÷ d
Result: x% is your answer
Simplifying Fractions
Find the GCD of numerator and denominator
Divide both by the GCD
Result is the simplified fraction