Skip to main content
CalcivoTools

Mixed Number Calculator : Add, Subtract, Multiply & Divide Mixed Fractions

The Calcivo Mixed Number Calculator simplifies arithmetic between whole numbers with fractional parts. It automatically converts mixed numbers into improper fractions, solves the operation with lowest common denominators, and formats the output as both a simplified mixed number and decimal.

Interactive Calculator

100% Client-Side Engine
First Mixed Number
Second Mixed Number
Mixed Number Result
3 7/12
Improper Fraction
43/12
Decimal Equivalent
3.583333
Step-by-Step Solution
1. Convert mixed numbers to improper fractions:
2 1/3 = (2 × 3 + 1)/3 = 7/3
1 1/4 = (1 × 4 + 1)/4 = 5/4
2. Common denominator: 3 × 4 = 12
2. Cross-multiply numerators: (7 × 4) + (5 × 3) = 43
2. Simplify by dividing by GCD (1): 43 / 12
3. Convert improper result 43/12 back to mixed number: 3 7/12

Step-by-Step Examples

Adding 2 1/3 and 1 1/4

Combining recipe quantities with mixed fractions.

Inputs: First Mixed Number: 2 1/3, Operation: +, Second Mixed Number: 1 1/4
Result: 3 7/12 (Improper: 43/12, Decimal: 3.5833)

2 1/3 = 7/3 and 1 1/4 = 5/4. Common denominator is 12: 28/12 + 15/12 = 43/12 = 3 7/12.

How to Use This Tool

  1. Enter the whole number, numerator, and denominator for the first mixed number.
  2. Select the arithmetic operation (+, −, ×, or ÷).
  3. Enter the values for the second mixed number.
  4. Click Calculate to see the simplified mixed fraction, improper fraction, and decimal value.

Frequently Asked Questions

Multiply the whole number by the denominator, add the numerator to get the new numerator, and place it over the original denominator.

Related Calculators & Tools

Explore complementary calculators in this category.

Calculators

Fraction Calculator

Perform fraction arithmetic with automatic reduction to lowest terms, mixed numbers, and decimal conversion.

Verified Math0ms Latency
Calculators

Ratio Calculator

Solve for the missing value in proportions (A:B = C:D), simplify ratios to lowest terms, and scale proportions.

Verified Math0ms Latency
Calculators

Percentage Calculator

Calculate what is X% of Y, find percentage increase/decrease, and solve percentage differences instantly.

Verified Math0ms Latency
Calculators

Proportion Calculator

Solve for the missing value in direct and inverse proportions. Features cross-multiplication derivations and proportionality constants.

Verified Math0ms Latency