Fractions appear in school mathematics, cooking, measurements, and everyday calculations. A fraction calculator helps you add, subtract, multiply, or divide fractions without losing track of numerators and denominators.
How to use a fraction calculator
- Open the Fraction Calculator.
- Enter the numerator and denominator of each fraction.
- Select the mathematical operation you need.
- Calculate and review the result.
- Reduce the answer to its simplest form if needed.
The denominator cannot be zero because division by zero is undefined.
How to add fractions
To add fractions with the same denominator, add their numerators: 2/7 + 3/7 = 5/7. For different denominators, use a common denominator. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
How to subtract fractions
Find a common denominator, then subtract the numerators. For example, 5/6 − 1/4 = 10/12 − 3/12 = 7/12. Keep the denominator unchanged once both fractions have been rewritten with the same denominator.
How to multiply fractions
Multiply the numerators together and the denominators together. For example, 2/3 × 3/5 = 6/15 = 2/5. Simplifying before multiplication can reduce the size of intermediate numbers.
How to divide fractions
Multiply the first fraction by the reciprocal of the second. For example, 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8 = 1 7/8. The divisor must not be zero.
Fraction operations at a glance
| Operation | Example | Answer |
|---|---|---|
| Addition | 1/2 + 1/3 | 5/6 |
| Subtraction | 3/4 − 1/2 | 1/4 |
| Multiplication | 2/3 × 3/4 | 1/2 |
| Division | 1/2 ÷ 3/4 | 2/3 |
Improper fractions and mixed numbers
An improper fraction has a numerator greater than or equal to its denominator. For example, 9/4 equals the mixed number 2 1/4. Both forms represent the same value.
Common mistakes to avoid
- Adding denominators directly when adding fractions.
- Forgetting to invert the second fraction during division.
- Using a denominator of zero.
- Failing to simplify the final result when simplest form is required.
Frequently asked questions
How do I simplify 12/18?
Divide the numerator and denominator by their greatest common factor, 6, to get 2/3.
What is 1/2 as a decimal?
0.5, because 1 divided by 2 equals 0.5.
Can a fraction be negative?
Yes. For example, −3/5 is a valid negative fraction.
Why do fractions need a common denominator for addition?
Both parts must represent the same-sized units before their numerators can be combined.
Use the online fraction calculator to check your work and explore more examples.
Moiz Ahmad is a digital marketer and SEO expert based in Dera Ismail Khan, Pakistan. With over 6 years of experience in SEO, WordPress development, and digital strategy, he has helped 30+ businesses rank on Google’s first page. He is the founder of DigiTechPak and Moiz Blogger. Connect: LinkedIn | Twitter | Moiz Blogger