Mixed Number Calculator - Convert Between Fractions and Mixed Numbers

Convert between improper fractions and mixed numbers.

Mixed Number Calculator

Convert between improper fractions and mixed numbers. Add, subtract, multiply, and divide with step-by-step solutions.

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About Mixed Numbers

What is a Mixed Number?

A mixed number combines a whole number and a proper fraction. For example, 2½ means 2 whole units plus 1/2 of another unit.

Conversion Formulas:

Mixed to Improper: (whole × denominator) + numerator / denominator

Example: 2¾ = (2 × 4 + 3)/4 = 11/4

Improper to Mixed: numerator ÷ denominator = whole R remainder/denominator

Example: 11/4 = 2 remainder 3 = 2¾

Tips for Working with Mixed Numbers:

  • Convert to improper fractions before multiplying or dividing
  • Find a common denominator when adding or subtracting
  • Always simplify your final answer
  • The fraction part should always be proper (numerator < denominator)

Applications:

  • Measurement in construction and crafts
  • Cooking and baking recipes
  • Time and distance calculations
  • Everyday fraction problems

About This Calculator

Frequently Asked Questions

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