Mixed Numbers and Improper Fractions
A mixed number combines a whole number and a proper fraction (like 2 3/4). An improper fraction has a numerator larger than its denominator (like 11/4).
Mixed to Improper
Improper Fraction = (Whole x Denominator + Numerator) / Denominator
Improper to Mixed
- Divide numerator by denominator
- The quotient is the whole number
- The remainder is the new numerator
- Keep the same denominator
Examples
Example 1: Convert 2 3/4 to improper
(2 x 4 + 3) / 4 = 11/4
Example 2: Convert 17/5 to mixed
17 / 5 = 3 remainder 2
Result: 3 2/5
When to Use Each
- Mixed numbers: Easier to visualize, better for measurements
- Improper fractions: Easier for calculations and algebra
Common Uses
Recipes, construction measurements, time calculations, and any situation involving quantities greater than one.
Quick Tips
- Double-check your inputs for accurate results
- Use parentheses to clarify order of operations
- Results are rounded — consider significant figures
Frequently Asked Questions
A whole number combined with a proper fraction, like 2 1/2.
A fraction where the numerator is larger than the denominator.
Multiply whole by denominator, add numerator, keep same denominator.
Divide numerator by denominator; quotient is whole, remainder is new numerator.
Improper fractions are usually easier for multiplication and division.