Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step solutions. Supports mixed numbers, improper fractions, and automatic simplification.
About This Calculator
The Fraction Calculator performs addition, subtraction, multiplication, and division on fractions with full step-by-step explanations. It handles mixed numbers (like 2 3/4), improper fractions (like 11/4), and automatically simplifies results using the greatest common divisor. Each calculation shows the intermediate steps — finding common denominators, converting to improper fractions, and reducing — so you can learn the process while getting your answer.
How to Use
- Enter your values in the input fields above
- Click the calculate button to see results
- Review your results displayed below the inputs
- Use the reset button to clear all fields and start over
The Formula
How the calculation works under the hood
Adding fractions
Cross-multiply to find the numerator, multiply denominators for the common denominator, then simplify.
Multiplying fractions
Multiply numerators together and denominators together.
Dividing fractions
Flip the second fraction (take its reciprocal) and multiply.
Worked Example
Step-by-step walkthrough with real numbers
“Add 2 3/4 + 1 1/3.”
- 1Convert to improper fractions: 2 3/4 = 11/4, 1 1/3 = 4/3.
- 2Find common denominator: 4 x 3 = 12.
- 311/4 = 33/12, 4/3 = 16/12.
- 433/12 + 16/12 = 49/12.
- 5Convert to mixed number: 49 / 12 = 4 remainder 1, so 4 1/12.
2 3/4 + 1 1/3 = 4 1/12.
⚠️Common Mistakes
- ✕Adding numerators and denominators separately (1/2 + 1/3 does NOT equal 2/5).
- ✕Forgetting to find a common denominator before adding or subtracting.
- ✕Not simplifying the final answer — always divide numerator and denominator by their GCD.
💡Pro Tips
- ✓When multiplying, you can cross-cancel common factors before multiplying to keep numbers small.
- ✓To convert a mixed number to an improper fraction: multiply the whole number by the denominator, add the numerator.
- ✓Use this calculator to check homework — the step-by-step output shows exactly how the answer was reached.
Frequently Asked Questions
Can I enter mixed numbers?
Yes. Enter the whole number part in the "Whole" field and the fractional part in the numerator and denominator fields.
Does it simplify the result?
Yes. The calculator automatically reduces the result to its simplest form using the greatest common divisor (GCD).
How does fraction division work?
To divide fractions, flip the second fraction (reciprocal) and multiply. The calculator handles this automatically and shows the steps.
What if I get an improper fraction?
The calculator converts improper fractions to mixed numbers when applicable. For example, 7/4 becomes 1 3/4.
Can I use negative fractions?
Yes. Enter a negative whole number or negative numerator. The calculator handles sign rules correctly for all operations.
Is this calculator free to use?
Yes! All calculators on Get Precision Calculator are completely free with no limitations or sign-up required.
Is my data saved or tracked?
No. All calculations are performed locally in your web browser. Get Precision Calculator does not store, collect, or track your calculation data.
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