Mixed Number Calculator
Convert mixed numbers to improper fractions, decimals, and percentages. Perform arithmetic operations with mixed numbers and get step-by-step solutions that help you understand the conversion process and mathematical operations.
Last updated: December 15, 2024
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Quick Example Result
For the mixed number 2¾:
Improper Fraction
11/4
Decimal
2.75
Percentage
275.00%
Reduced Form
2 3/4
How This Calculator Works
Our mixed number calculator performs conversions and arithmetic operations using fundamental fraction mathematics. It converts mixed numbers to improper fractions for calculations, then presents results in multiple formats to help with mathematical understanding.
Conversion Formulas
Mixed to Improper Fraction:
improper = (whole × denominator + numerator) / denominatorTo Decimal:
decimal = numerator ÷ denominatorTo Percentage:
percentage = decimal × 100%These formulas ensure accurate conversions between different number representations, maintaining mathematical precision throughout the calculation process.
Shows the relationship between whole numbers, fractions, and their decimal equivalents
Mathematical Operations
When performing arithmetic operations with mixed numbers, the calculator first converts them to improper fractions, performs the operation, then converts the result back to the most appropriate form. This method ensures accuracy and follows standard mathematical procedures.
- Addition and subtraction require common denominators
- Multiplication involves multiplying numerators and denominators separately
- Division uses the reciprocal (flip and multiply) method
- Results are automatically simplified to lowest terms
Educational Applications
- Elementary Mathematics - Understanding fractions and their real-world applicationsBuilding foundation for advanced fraction concepts
- Cooking and Recipes - Converting between different measurement formatsPractical application in everyday life
- Construction and Engineering - Precise measurements and calculationsProfessional applications requiring accuracy
Need help with other math calculations? Check out our percentage calculator and quadratic formula calculator.
Get Custom Calculator for Your BusinessExample Calculation
Given Mixed Number:
- Whole Number: 3
- Numerator: 5
- Denominator: 8
Conversion Steps:
- Improper fraction: (3 × 8 + 5) / 8 = 29/8
- Decimal: 29 ÷ 8 = 3.625
- Percentage: 3.625 × 100 = 362.5%
Results: 3⅝ = 29/8 = 3.625 = 362.5%
All forms represent the same mathematical value, just in different notation systems.
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