Math & Algebra Tool
Mixed Numbers Calculator
Add, subtract, multiply, and divide mixed fractions.
Mixed Fraction Operations
# About This Calculator
A Mixed Number is a whole number combined with a fraction, like 1 ½. An Improper Fraction has a top number (numerator) larger than the bottom (denominator), like 3/2.
The Pizza Analogy
Think of pizzas cut into slices:
- Mixed Number (1 ½): You have one whole pizza and one half pizza.
- Improper Fraction (3/2): You have 3 halves.
They represent the exact same amount of food! Improper fractions are easier for math (multiplying/dividing), while mixed numbers are easier for humans to understand quantities.
Frequently Asked Questions
What is a mixed number?+
A mixed number is a whole number combined with a fraction, like 3 1/2. It represents a value between two whole numbers.
How do I multiply mixed numbers?+
First, convert them to improper fractions. Then, multiply the numerators (tops) and denominators (bottoms) straight across. Finally, convert back to a mixed number if needed.
Why do we use improper fractions?+
They are mathematically cleaner. Trying to multiply '1 ½ * 2 ¼' is messy. Converting to '3/2 * 9/4 = 27/8' is straightforward.
How do I turn an improper fraction back to a mixed number?+
Divide the top by the bottom. The answer is the whole number. The remainder is the new numerator. The denominator stays the same.
Is Mixed Numbers Calculator free to use?+
Yes, Mixed Numbers Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is Mixed Numbers Calculator?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for Mixed Numbers Calculator are accurate for academic and professional use.