Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step results.
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Fraction Calculator
Working with Fractions
Fractions represent parts of a whole. A fraction has a numerator (top number) and a denominator (bottom number). For example, 3/4 means 3 out of 4 equal parts. Fractions are used everywhere — in cooking recipes, measuring lengths, calculating discounts, and understanding probabilities.
Key Fraction Operations
| Operation | Rule | Example |
|---|---|---|
| Addition | Common denominator, add numerators | 1/4 + 1/2 = 3/4 |
| Subtraction | Common denominator, subtract numerators | 3/4 − 1/4 = 2/4 = 1/2 |
| Multiplication | Multiply numerators, multiply denominators | 2/3 × 3/4 = 6/12 = 1/2 |
| Division | Multiply by reciprocal of divisor | 2/3 ÷ 4/5 = 2/3 × 5/4 = 5/6 |
Frequently Asked Questions
How do I add or subtract fractions?
To add or subtract fractions, find a common denominator. Convert each fraction so the denominators match, then add or subtract the numerators. Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12. Always simplify the result.
How do I multiply fractions?
Multiply the numerators together and multiply the denominators together. Example: 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2. Simplify cross-cancel before multiplying for easier arithmetic.
How do I divide fractions?
To divide fractions, multiply the first fraction by the reciprocal (flip) of the second. Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6. The phrase 'Keep, Change, Flip' helps remember the steps.
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. Example: 3/4 = 3 ÷ 4 = 0.75. To convert back to a fraction, write the decimal as a fraction with a power of 10 in the denominator, then simplify.
What is a mixed number and how do I convert it?
A mixed number combines a whole number and a fraction (e.g., 2 3/4). To convert to an improper fraction: multiply the whole number by the denominator, add the numerator, and put the result over the original denominator. 2 3/4 = (2×4+3)/4 = 11/4.
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