Mixed Number Calculator

Calculate with mixed numbers (mixed fractions)

Choose Operation

First Mixed Number

Example: 2 3/4 (2 whole, 3 numerator, 4 denominator)

Second Mixed Number

Example: 1 1/2 (1 whole, 1 numerator, 2 denominator)

How to Calculate with Mixed Numbers

Convert to Improper Fractions

Convert both mixed numbers to improper fractions.

Formula: (whole × denominator + numerator) / denominator

Perform the Operation

Add, subtract, multiply, or divide the improper fractions.

Simplify and Convert Back

Simplify the result and convert back to a mixed number if needed.

Examples

Example 1: Add 2 1/2 + 1 3/4

Convert: 2 1/2 = 5/2, 1 3/4 = 7/4

Add: 5/2 + 7/4 = 10/4 + 7/4 = 17/4

Convert back: 17/4 = 4 1/4

Answer: 4 1/4

Example 2: Subtract 3 2/3 − 1 1/2

Convert: 3 2/3 = 11/3, 1 1/2 = 3/2

Subtract: 11/3 − 3/2 = 22/6 − 9/6 = 13/6

Convert back: 13/6 = 2 1/6

Answer: 2 1/6

Example 3: Multiply 2 1/3 × 1 1/2

Convert: 2 1/3 = 7/3, 1 1/2 = 3/2

Multiply: 7/3 × 3/2 = 21/6 = 7/2

Convert back: 7/2 = 3 1/2

Answer: 3 1/2

About Mixed Numbers

A mixed number (also called a mixed fraction) combines a whole number and a proper fraction. Examples include 2 1/2, 3 3/4, and 1 5/8. Mixed numbers are commonly used in everyday life for measurements, cooking, and time.

Mixed vs Improper Fractions

Mixed Number: 2 1/2 (easier to visualize - 2 whole pieces plus half a piece)

Improper Fraction: 5/2 (easier for calculations - numerator larger than denominator)

Converting Mixed to Improper

Formula: (whole × denominator + numerator) / denominator

Example: 3 2/5 = (3 × 5 + 2) / 5 = 17/5

Converting Improper to Mixed

Divide numerator by denominator: quotient = whole number, remainder = new numerator

Example: 17/5 → 17 ÷ 5 = 3 remainder 2 → 3 2/5

Real-World Uses

Cooking: 2 1/2 cups of flour
Construction: 3 3/4 inches long
Time: 1 1/2 hours
Money: 5 1/4 dollars

How to Use This Calculator
1
Enter Your Values
Input the required values in the calculator fields above. Make sure all inputs are valid numbers.
2
Click Calculate
Press the "Calculate" button to perform the calculation and see your results.
3
Review Results
Review the calculated results displayed below. Use these values for your needs.
Formula
Formula will be calculated based on the inputs provided.
Example:
Example: Enter your values above and click Calculate to see the formula in action.
About Mixed Number Calculator
The Mixed Number Calculator is a useful tool for calculating mixed number values. This calculator helps you quickly and accurately determine the results you need for your calculations.
When to Use This Calculator
Quick Calculations: Get instant results without manual computation
Accuracy: Ensure precise calculations every time
Planning: Use for project planning and estimation
Verification: Double-check your manual calculations
Why Use Our Calculator?
✅ Instant Results: Get accurate calculations immediately
✅ Easy to Use: Simple interface for all skill levels
✅ 100% Free: No registration or payment required
✅ Mobile Friendly: Works on all devices
✅ Accurate: Precise mathematical calculations
Tips for Best Results
Double-Check Inputs: Verify all values before calculating
Use Valid Numbers: Ensure inputs are valid numbers
Review Results: Check results for reasonableness
Clear and Retry: Clear inputs if you need to recalculate
Frequently Asked Questions

What is a mixed number?

A mixed number is a combination of a whole number and a proper fraction, like 2 3/4 (two and three-quarters).

Why convert to improper fractions for calculations?

Operations on fractions are easier with improper fractions because you work with single fractions rather than managing both whole numbers and fractions separately.

Can the whole number be negative?

Yes! For example, -2 1/3 represents negative two and one-third. When converting, the entire mixed number is negative.

What if the fractional part is zero?

If the numerator is 0 or blank, you just have a whole number. For example, 3 0/4 is simply 3.