Mixed Number Calculator
Add, subtract, multiply, and divide mixed numbers with step-by-step improper fraction conversions.
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How to Use the Mixed Number Calculator – Add, Subtract, Multiply
- 1Enter the whole number, numerator, and denominator for Fraction 1.
- 2Select the arithmetic operator: Add (+), Subtract (-), Multiply (×), or Divide (÷).
- 3Enter the whole number, numerator, and denominator for Fraction 2.
- 4View the simplified mixed number, improper fraction, decimal, and step-by-step solution.
Formula & How It Works
Mixed Number Arithmetic & Fraction Reduction
Mixed numbers are converted to improper fractions: w n/d = (w × d + n) / d. Operations are performed using common denominators for addition/subtraction or reciprocal multiplication for division, before reducing via greatest common factor (GCF).
Worked Examples
Mixed Number Addition Example
Input: 1 1/2 + 2 1/4
Explanation: 3/2 + 9/4 = 6/4 + 9/4 = 15/4 = 3 3/4.
Mixed Number Subtraction
Input: 3 1/3 - 1 1/2
Explanation: 10/3 - 3/2 = 20/6 - 9/6 = 11/6 = 1 5/6.
Mixed Number Multiplication
Input: 2 1/2 × 1 1/3
Explanation: 5/2 × 4/3 = 20/6 = 10/3 = 3 1/3.
Mixed Number Division
Input: 4 1/2 ÷ 1 1/2
Explanation: 9/2 ÷ 3/2 = 9/2 × 2/3 = 18/6 = 3.
Frequently Asked Questions
What is a mixed number?▼
A mixed number is a number consisting of an integer whole number and a proper fraction combined (such as 2 1/2 or 4 3/4).
How do you convert a mixed number to an improper fraction?▼
Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.
How do you divide two mixed numbers?▼
Convert both mixed numbers to improper fractions, flip the second fraction to find its reciprocal, and multiply.
What happens if the whole number is zero?▼
If the whole number is zero, the tool treats the input as a simple proper or improper fraction.
Does the calculator automatically simplify fractions to lowest terms?▼
Yes, the tool divides both numerator and denominator by their greatest common divisor (GCF) to produce the lowest irreducible terms.
Does this tool work completely offline?▼
Yes, all fraction arithmetic runs locally in your web browser with zero server latency.
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