Fraction Calculator
Add, subtract, multiply, and divide fractions. Get simplified results with step-by-step explanations. Supports mixed numbers.
Step-by-step solution
- Find common denominator: LCD = 6
- Convert: 3/6 + 2/6
- Simplify: GCD(5, 6) = 1 → 5/6
How Fraction Arithmetic Works
Addition & Subtraction: Find a common denominator (LCM), convert both fractions, then add or subtract the numerators.
Multiplication: Multiply numerators together and denominators together, then simplify.
Division: Multiply by the reciprocal of the second fraction (flip it), then simplify.
Results are always simplified to lowest terms using the Greatest Common Divisor (GCD).
Frequently Asked Questions
Find the least common denominator (LCD), convert each fraction to an equivalent fraction with that denominator, then add the numerators and keep the denominator.
Divide both the numerator and denominator by their Greatest Common Divisor (GCD). For example, 6/8 → GCD(6,8)=2 → 3/4.
A mixed number combines a whole number and a proper fraction, like 2 1/3. Enable the "Use mixed numbers" toggle to input and receive results in mixed number form.
Multiply the first fraction by the reciprocal (flip) of the second fraction. For example: 1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6 = 2/3.
Related Tools
Percentage Calculator
Calculate percentages instantly. Find what percent of a number is, calculate percentage change, find the original value, and more — all in one tool.
CalculatorsSimple Calculator
A clean, easy-to-use online calculator for basic arithmetic. Perform addition, subtraction, multiplication, and division instantly.
CalculatorsStatistics Calculator
Calculate mean, median, mode, range, variance, and standard deviation for any dataset. Instant results with full statistical breakdown.
Calculators