Fraction calculator
Add, subtract, multiply, divide, simplify and convert to decimals. Use it to double-check your work; for a full derivation of any step, paste the expression into the MathPanda solver.
Basic Operations
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Example: 1/2 + 1/4 = 3/4
Simplification
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Example: 21/98 = 3/14
Decimal to Fraction
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Example: 1.375 = 11/8
Fraction to Decimal
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Large Fraction Calculator
Use this calculator if the numerators or denominators are very large integers.
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Fraction guide
Supports the four operations, simplification, mixed numbers and fraction–decimal conversion. Use it to verify answers before asking the solver for a full derivation.
Rules
- Addition/Subtraction: same denominator, then add/subtract numerators.
- Different denominators: find LCM for a common denominator.
- Multiplication: numerator times numerator, denominator times denominator.
- Division: multiply by the reciprocal of the second fraction.
- Simplify: divide by GCD.
Conversions
- Fraction → Decimal: numerator ÷ denominator.
- Decimal → Fraction: write as power of ten, then simplify.
- Mixed number: 1 2/3 = (1 × 3 + 2) / 3 = 5/3.
Sample calculations
5/2 + 3/2 = 4.
1/2 + 1/3 → LCM 6 → 3/6 + 2/6 = 5/6.
15/25 = 3/5 (GCD 5).
2/5 = 0.4.
3 1/4 = 13/4.
Pitfalls
- Adding denominators instead of making them equal first.
- Leaving the result unsimplified.
- Swapping numerator and denominator when converting.
Uses
- Recipes and measures (halves, quarters).
- Geometry (fractional lengths or areas).
- Proportionality and fair sharing.
Quick answers
- Wrong result? Check common denominator and simplification.
- Mixed numbers? Use format "2 3/4".
- For a step-by-step derivation, head to the main solver and paste your expression.