Converting Improper Fractions
An improper fraction has a numerator equal to or greater than its denominator. Converting it to a mixed number makes it easier to understand and visualize the quantity.
Conversion Steps
- Divide the numerator by the denominator
- The quotient becomes the whole number
- The remainder becomes the new numerator
- The denominator stays the same
Formula
a/b = (a / b) + (a mod b)/b
Where "a / b" is integer division and "a mod b" is the remainder.
Examples
Example 1: Convert 17/5
17 / 5 = 3 with remainder 2
Result: 3 2/5
Example 2: Convert 22/7
22 / 7 = 3 with remainder 1
Result: 3 1/7
Example 3: Convert 13/4
13 / 4 = 3 with remainder 1
Result: 3 1/4
Why Convert?
Mixed numbers are more intuitive for real-world quantities. "3 1/2 cups" is clearer than "7/2 cups."
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 fraction where the numerator is greater than or equal to the denominator.
Divide numerator by denominator; quotient is whole, remainder over denominator.
11/4 = 2 3/4
Yes, it's often helpful to simplify first.
Then the result is a whole number with no fractional part.