Mixed Number to Improper Fraction Calculator
Convert a mixed number such as 2 3/4 into an improper fraction, showing the lowest-terms form, the decimal, and each step.
Improper fraction
11/4
Already in lowest terms.
As a decimal
2.75
Step by step
- Multiply the whole number by the denominator: 2 × 4 = 8
- Add the numerator: 8 + 3 = 11
- Keep the same denominator: 11/4
- 11/4 is already in lowest terms
How it works
A mixed number like 2 3/4 is a whole number sitting next to a fraction. To turn it into a single improper fraction, you multiply the whole number by the denominator, then add the numerator. For 2 3/4 that's 2 × 4 = 8, plus 3, giving 11 — all over the same denominator of 4, so 11/4.
The tool keeps the original denominator and shows the improper fraction, then also reduces it to lowest terms in case the result can be simplified. You'll see the decimal too, which lines up with what the mixed number was worth all along.
Enter the whole part, the numerator, and the denominator in the three boxes. Keep the numerator positive; if the whole value is negative, put the minus sign on the whole number and the tool applies it to the whole quantity, not just one piece.
Frequently asked questions
What's an improper fraction?
It's a fraction whose numerator is as big as or bigger than its denominator, like 11/4. It represents the same value as a mixed number but written as a single fraction, which is often easier to compute with.
How do I enter a negative mixed number?
Put the minus sign on the whole number and keep the numerator positive. For -2 3/4, enter -2 as the whole part, 3 as the numerator, and 4 as the denominator. The tool applies the sign to the full quantity.
Why is the answer sometimes reduced?
If the improper fraction can be simplified — say the conversion gave 6/4 — the tool shows both the direct result and its lowest-terms form, 3/2, so you have whichever version you need.