Mixed Number Calculator
The mixed number calculator is a life-saver if you struggle with mixed fractions. Choose one out of seven operations, input your fractions, calculate and... breathe a sigh of relief. It gets the job done!
Result17/4in lowest terms
Mixed number4 1/4
Decimal4.25
Percentage425%
Working with mixed numbers
| First as improper | 5/2 (2 1/2) |
| Second as improper | 7/4 (1 3/4) |
| Operation | 5/2 + 7/4 |
| Result | 17/4 = 4 1/4 |
The method
convert to improper fractions, operate, convert back
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.