Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step solutions.
Fraction 1
Fraction 2
Result
How It Works
Enter two fractions and select the operation (add, subtract, multiply, divide). The calculator shows the result in simplified form plus the step-by-step working.
**Fraction Calculator — Solve Fraction Problems with Full Working**
Fractions are one of the trickiest topics in elementary and middle school maths. Our Fraction Calculator not only gives you the answer but shows every step, making it a powerful learning tool as well as a quick solver.
**Supported Operations**
- **Addition:** a/b + c/d = (ad + bc) / bd
- **Subtraction:** a/b – c/d = (ad – bc) / bd
- **Multiplication:** a/b × c/d = ac / bd
- **Division:** a/b ÷ c/d = a/b × d/c = ad / bc
All results are automatically simplified to lowest terms using the Greatest Common Divisor (GCD).
**Step-by-Step Example**
**3/4 + 2/5**
1. Find common denominator: LCD(4, 5) = 20
2. Convert: 3/4 = 15/20; 2/5 = 8/20
3. Add numerators: 15 + 8 = 23
4. Result: 23/20 = 1 3/20 (mixed number)
**Additional Features**
- **Mixed Number Support:** Enter mixed numbers like 2 3/4
- **Simplification:** Automatically reduces fractions to lowest terms
- **Decimal Conversion:** Shows the decimal equivalent
- **Comparison:** Compare two fractions (>, <, =)
- **LCD Calculator:** Find the Least Common Denominator of multiple fractions
**Why Fractions Matter**
Fractions are foundational for:
- Algebra and calculus (rational expressions)
- Probability (3/7 chance of an event)
- Cooking and recipes (3/4 cup of flour)
- Financial calculations (1/4 share of profits)
- Music (1/4 note, 1/8 note durations)
**Common Fraction Mistakes to Avoid**
1. Adding denominators: 1/2 + 1/3 ≠ 2/5 (common error!)
2. Forgetting to simplify: 4/8 should be simplified to 1/2
3. Dividing: "Keep, Change, Flip" — flip the divisor and multiply
4. Mixed numbers: convert to improper fractions before operating