Mixed Number to Improper Fraction Calculator
This mixed number to improper fraction calculator works like a charm - it not only converts one fraction form to the other, but also it shows the step by step solution.
Result11/4in lowest terms
Mixed number2 3/4
Decimal2.75
Percentage275%
Converting to an improper fraction
| Multiply | 2 × 4 = 8 |
| Add the numerator | 8 + 3 = 11 |
| Improper fraction | 11/4 |
| Lowest terms | 11/4 |
The method
numerator = whole × denominator + numerator
The rules in one place
- Adding and subtracting needs a common denominator first. The lowest common denominator keeps the numbers smallest, but any common denominator works.
- Multiplying needs no common denominator at all — multiply across the top and across the bottom.
- Dividing means multiplying by the reciprocal: flip the second fraction and multiply.
- Reducing divides top and bottom by their greatest common divisor. It never changes the value.
Why lowest terms matter
6/8 and 3/4 are the same number, but 3/4 is easier to compare, easier to check and conventional in an answer. Reducing also keeps later arithmetic small: multiplying unreduced fractions makes the numbers grow fast, and cancelling first avoids that.