Fraction Calculator
Add, subtract, multiply, and divide fractions and mixed numbers. Results are automatically simplified to lowest terms.
How to Use the Fraction Calculator
- Choose the operation: addition, subtraction, multiplication, or division.
- Enter the numerator and denominator for each fraction (and the whole part for mixed numbers).
- Click Calculate — the result appears automatically simplified to lowest terms.
- Check the decimal value shown below the fraction for a quick reference.
Referência Rápida
| De | Para |
|---|---|
| 1/2 + 1/3 | 5/6 |
| 2/3 × 3/4 | 1/2 |
| 3/4 − 1/4 | 1/2 |
| 1/5 + 2/5 | 3/5 |
| 7/8 − 3/8 | 1/2 |
| 2/3 ÷ 1/6 | 4 |
Casos de Uso
- •School math — add 3/4 + 2/3 when working on fractions homework.
- •Cooking — scale a recipe that calls for 2/3 cup by multiplying fractions.
- •Carpentry — divide a board of 7/8 inch thickness into equal parts.
Fórmula
Addition: a/b + c/d = (ad + bc) / bd. Multiplication: a/b × c/d = ac / bd. The result is reduced using the greatest common divisor (GCD).
Perguntas Frequentes
How do I add fractions with different denominators?
Find a common denominator (the LCM of both denominators), convert each fraction, then add the numerators. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
How do I enter a mixed number?
Enter the whole part in the first field, the numerator in the second, and the denominator in the third. For example, 2 3/4 means whole = 2, numerator = 3, denominator = 4.
What does it mean to simplify a fraction?
Simplifying means dividing both the numerator and denominator by their greatest common divisor (GCD) so the fraction is in its lowest terms. For example, 6/8 simplifies to 3/4.
How do I divide one fraction by another?
Multiply the first fraction by the reciprocal of the second. For example, (2/3) ÷ (4/5) = (2/3) × (5/4) = 10/12 = 5/6.