Mixed Number Calculator
How It Works
This mixed number calculator uses established formulas to provide accurate results.
The basic rule:
- Mixed to improper: w n/d = (w×d + n) / d
- Improper to mixed: n/d = (n÷d) whole, (n mod d)/d fraction
- a/b + c/d = (ad + bc) / bd
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
What is a mixed number?
A mixed number combines a whole number with a fraction, like 2 1/3. It represents a value between two whole numbers. The whole number part tells you how many complete units you have, and the fraction tells you the remaining part.
How do you convert a mixed number to an improper fraction?
Multiply the whole number by the denominator, then add the numerator. Keep the same denominator. For example, 2 1/3 becomes (2×3+1)/3 = 7/3.
How do you add mixed numbers?
Convert both mixed numbers to improper fractions, find a common denominator, add the numerators, then convert back to a mixed number and simplify.
How do you convert an improper fraction back to a mixed number?
Divide the numerator by the denominator. The quotient is the whole number, the remainder is the new numerator, and the denominator stays the same. For example, 7/3: 7÷3 = 2 remainder 1, so it becomes 2 1/3.