Free & Instant

Fraction Math
With Clear Steps

Add, subtract, multiply, or divide fractions and mixed numbers—answers simplify automatically for homework checks.

Start calculating ↓
4 Operations
Mixed Numbers OK
GCD Simplified
Free In-browser

Fraction A (mixed numbers OK)

Fraction B

Enter two fractions
to see the simplified result

Result

How to Use This Calculator

  1. Enter each mixed number as whole + numerator / denominator (denominators must be positive).
  2. Choose an operation—division follows multiply-by-reciprocal rules.
  3. Read the simplified improper fraction and step recap; teachers may ask you to rewrite as a mixed number yourself.
📐 Formula

Formula & Methodology

View formula, sources, and explanation+
Mixed → improper: (w × d + n) / d when d > 0 a/b + c/d = (ad + bc) / bd a/b − c/d = (ad − bc) / bd a/b × c/d = ac / bd a/b ÷ c/d = a/b × d/c (c ≠ 0)

Results reduce by the greatest common divisor so numerator and denominator stay coprime.

❓ FAQ

Fraction FAQ

  • Division by zero is undefined—enter a non-zero numerator on the divisor fraction.
  • Whole + fraction follows standard textbook rules: 2¼ becomes 9⁄4 before operating.
  • Use negative wholes or numerators; denominators should be positive for clearest steps.
  • Yes—work stays in integer ratios before simplifying, avoiding floating drift.
  • Results display as simplified improper fractions; convert mentally to mixed if your teacher prefers.