Mixed Numbers Calculator
Convert between mixed numbers and improper fractions with step-by-step explanations.
What is a Mixed Number?
A mixed number is a combination of a whole number and a proper fraction. For example, 2 3/4 represents 2 whole units plus 3/4 of a unit.
Mixed Number Format
Enter mixed numbers as 2 3/4 (whole number, space, numerator/denominator)
Improper Fraction Format
Enter improper fractions as 11/4 (numerator/denominator)
About Mixed Numbers Calculator
What Can the Mixed Numbers Calculator Do?
This online calculator performs simple math operations on whole numbers, integers, mixed numbers, fractions, and improper fractions. You can add, subtract, multiply, or divide mixed numbers and get the result as a reduced fraction and a mixed number.
How to Use This Calculator
Enter mixed numbers, whole numbers, or fractions in the following formats:
- Mixed numbers: Enter the whole number, numerator, and denominator in the respective fields. For example, to enter 1 1/2 (one and one half), enter 1 as the whole number, 1 as the numerator, and 2 as the denominator.
- Whole numbers: Enter the number in the whole number field and leave the fraction part empty or as 0/1.
- Fractions: Enter 0 as the whole number and fill in the numerator and denominator fields.
Operations with Mixed Numbers
Adding Mixed Numbers
To add mixed numbers, the calculator:
- Converts each mixed number to an improper fraction
- Finds a common denominator
- Adds the numerators
- Simplifies the result
- Converts back to a mixed number if needed
Subtracting Mixed Numbers
To subtract mixed numbers, the calculator:
- Converts each mixed number to an improper fraction
- Finds a common denominator
- Subtracts the numerators
- Simplifies the result
- Converts back to a mixed number if needed
Multiplying Mixed Numbers
To multiply mixed numbers, the calculator:
- Converts each mixed number to an improper fraction
- Multiplies the numerators
- Multiplies the denominators
- Simplifies the result
- Converts back to a mixed number if needed
Dividing Mixed Numbers
To divide mixed numbers, the calculator:
- Converts each mixed number to an improper fraction
- Multiplies the first fraction by the reciprocal of the second fraction
- Simplifies the result
- Converts back to a mixed number if needed
Related Calculators
If you need to perform operations on simple proper or improper fractions, use our Fractions Calculator. To simplify an individual fraction into lowest terms, try our Simplify Fractions Calculator.
How to Use This Calculator
This calculator is designed to be intuitive and easy to use. Simply enter your values in the input fields and click the calculate button to get your result. The calculator will provide step-by-step explanations to help you understand the process.
Why This Calculator Matters
Working with fractions can be challenging, especially when dealing with complex operations or conversions. This calculator simplifies the process and helps you understand the underlying mathematical principles.
Related Calculators
Learn More About Fractions
Want to deepen your understanding of fractions? Check out our comprehensive guide on fractions, including types, operations, and real-world applications.
Explore Fractions Guide