Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step results
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Formula
Formula
a/b + c/d = (ad + bc)/bd; a/b - c/d = (ad - bc)/bd; a/b × c/d = ac/bd; a/b ÷ c/d = ad/bc
Basic fraction operations. Results are automatically simplified by dividing by the greatest common divisor.
How to Calculate Manually
- 1 Enter first fraction (numerator and denominator)
- 2 Select operation (+, −, ×, ÷)
- 3 Enter second fraction
- 4 Calculator finds common denominator if needed
- 5 Performs operation on numerators
- 6 Simplifies result by dividing by GCD
- 7 Shows both fraction and decimal forms
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Reference Table
| Operation | Formula | Example |
|---|---|---|
| Add | a/b + c/d = (ad+bc)/bd | 1/2 + 1/3 = 5/6 |
| Subtract | a/b - c/d = (ad-bc)/bd | 3/4 - 1/2 = 1/4 |
| Multiply | a/b × c/d = ac/bd | 2/3 × 3/4 = 1/2 |
| Divide | a/b ÷ c/d = ad/bc | 3/4 ÷ 2/3 = 9/8 |
Fractions are a fundamental part of mathematics, used in everything from cooking measurements to engineering calculations. Understanding how to add, subtract, multiply, and divide fractions is essential...
Frequently Asked Questions
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How do I add fractions with different denominators?
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What does it mean to simplify a fraction?
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Can I use mixed numbers?
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