Fraction Calculator
Select an operation and enter your fractions.
📐 Fraction Formulas
Here is how to calculate fractions manually:
Addition: (Find common denominator first)
(a/b) + (c/d) = (ad + bc) / bd
Subtraction:
(a/b) - (c/d) = (ad - bc) / bd
Multiplication: (Multiply straight across)
(a/b) × (c/d) = ac / bd
Division: (Flip the second fraction and multiply)
(a/b) ÷ (c/d) = (a/b) × (d/c) = ad / bc
📊 Example Calculations
| Problem | Operation | Result |
|---|---|---|
| 1/2 + 1/4 | Addition | 3/4 |
| 3/4 - 1/2 | Subtraction | 1/4 |
| 1/2 × 1/2 | Multiplication | 1/4 |
| 1/2 ÷ 1/4 | Division | 2/1 (or 2) |
| 5/8 + 1/8 | Addition | 3/4 (Simplified) |
❓ Frequently Asked Questions
1. Do I need a common denominator to multiply fractions?
No. To multiply fractions, you simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
2. How do I add fractions with different denominators?
You must first find a common denominator (usually the Least Common Multiple). Convert both fractions so they share that bottom number, then add the top numbers.
3. What happens if I divide by a fraction?
Dividing by a fraction is the same as multiplying by its reciprocal. You flip the second fraction upside down and then multiply.
4. Why is my result "undefined"?
This usually happens if you try to divide by zero, or if a denominator in your input is zero. Math rules do not allow division by zero.
5. How do I simplify the result?
Find the Greatest Common Divisor (GCD) of the top and bottom numbers of your result. Divide both by that number to get the simplest form.