Improper fractions are easier to multiply, divide and use in algebra than mixed numbers. The conversion is quick: multiply the whole number by the denominator and add the numerator.
How to use the Mixed Number to Improper Fraction Calculator
- Whole number (W₁)
- Numerator (n₁)
- Denominator (d₁)
Everything is calculated in your browser, so results appear instantly and nothing you type is sent to a server.
How it works
The whole number is multiplied by the denominator and added to the numerator; the denominator stays the same. The result is simplified if possible.
Formula
W n/d = (W × d + n) / d
Worked example
Inputs — Whole number (W₁): 2; Numerator (n₁): 3; Denominator (d₁): 4.
Results — Improper fraction = 11/4; Simplified = 11/4; Decimal = 2.75; Steps = 1. Multiply the whole number by the denominator: 2 × 4 = 8
2. Add the numerator: 8 + 3 = 11
3. Keep the denominator: 11/4.
Key terms
- Improper fraction
- A fraction whose numerator is at least its denominator.
Frequently asked questions
What is 2 3/4 as an improper fraction?
(2 × 4 + 3)/4 = 11/4.
How do I convert back?
Divide 11 by 4: 2 remainder 3, so 2 3/4.
What about negative mixed numbers?
−2 3/4 = −11/4.
Why use improper fractions?
They make multiplication and division straightforward.