Fraction Calculator
Add, subtract, multiply, and divide fractions with our easy-to-use calculator. Simplify fractions and convert between fractions and decimals.
Fraction Operations
Calculation History
Understanding Fractions
Numerator
The top number in a fraction that represents how many parts are being considered.
Denominator
The bottom number in a fraction that represents the total number of equal parts.
Proper vs Improper Fractions
A proper fraction has a numerator smaller than the denominator (e.g., 1/2). An improper fraction has a numerator equal to or larger than the denominator (e.g., 5/3).
Mixed Numbers
A mixed number combines a whole number with a proper fraction (e.g., 2 1/3). Our calculator can convert between improper fractions and mixed numbers.
Fraction Questions & Answers
how do you add a fraction and a whole number?
To add fractions:
1. Find a common denominator (LCD)
2. Convert each fraction to equivalent fractions with the LCD
3. Add the numerators while keeping the denominator the same
4. Simplify the result if possible
Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6
How do you simplify fractions?
To simplify a fraction:
1. Find the greatest common divisor (GCD) of the numerator and denominator
2. Divide both numerator and denominator by the GCD
Example: 8/12 simplifies to 2/3 (GCD of 8 and 12 is 4)
how to convert fractions to decimals without a calculator?
Divide the numerator by the denominator.
Example: 3/4 = 3 ÷ 4 = 0.75
Some fractions convert to repeating decimals: 1/3 = 0.333...
What's the difference between a fraction and a ratio?
While both represent parts of a whole, fractions always have a denominator that represents the total parts, while ratios compare quantities and can have any numbers. Example: The ratio 2:3 compares two quantities, while the fraction 2/3 represents two parts out of three equal parts.