GCD & LCM Calculator
About Mixed Number Calculator
The Mixed Number Arithmetic & Fraction Calculator performs Addition ($+$), Subtraction ($-$), Multiplication ($\times$), and Division ($\div$) on mixed fractions ($A \frac{b}{c}$), showing improper fraction conversions, common denominator steps, and reduced answers.
How to Use Mixed Number Calculator
Step 1
Enter whole number, numerator, and denominator for each fraction.
Step 2
Select the arithmetic operation ($+$, $-$, $\times$, $\div$).
Step 3
Review the step-by-step solution breakdown.
Step 4
Click "Copy Result".
Practical Use Cases for Mixed Number Calculator
Carpentry & Construction Measurements
Add and subtract fractional inches (e.g. $3 \frac{3}{8}" + 5 \frac{3}{4}" = 9 \frac{1}{8}"$) with exact accuracy on construction job sites.
Baking Recipe Batch Scaling
Multiply culinary recipe ingredient portions (e.g. $2 \frac{1}{3}$ cups flour $\times 2.5$) into exact fractional cup measures.
Input & Output Examples
Adding Mixed Numbers $2 \frac{3}{4} + 1 \frac{2}{3}$
Fraction 1: 2 3/4, Operation: +, Fraction 2: 1 2/3
Result: $4 \\frac{5}{12}$ | Improper: $53/12$ | Decimal: 4.4167 | Step: Convert to $\\frac{11}{4} + \\frac{5}{3} = \\frac{33+20}{12} = \\frac{53}{12}$Key Features & Performance
- ✓Supports all 4 operations: Add ($+$), Subtract ($-$), Multiply ($\times$), Divide ($\div$) across mixed numbers.
- ✓Displays full step-by-step improper fraction conversions and common denominator expansions.
- ✓Outputs reduced mixed number, improper fraction, decimal, and percentage equivalents.
- ✓100% Client-Side calculation.
- ✓1-Click Copy mixed fraction solution.
Key Terminology & Definitions
Improper Fraction
A fraction where the numerator is greater than or equal to the denominator (e.g. $11/4$), converted from $2 \\frac{3}{4}$ via $\\frac{2 \\times 4 + 3}{4}$.
Least Common Denominator (LCD)
The least common multiple of the denominators, used to find equivalent fractions before adding or subtracting.