Mixed Number Calculator
Convert an improper fraction to a mixed number, or a mixed number to an improper fraction. Shows the steps.
Mixed Number Calculator
What This Calculator Does
Convert an improper fraction (top heavier than the bottom) into a mixed number, or turn a mixed number back into an improper fraction. The fractional part is reduced to lowest terms.
How It Works
improper to mixed: whole = numerator ÷ denominator, remainder over the denominator
mixed to improper: (whole x denominator) + numerator, over the denominatorHow to Use It
- Choose improper fraction to mixed number or mixed number to improper fraction.
- Enter the numbers (a whole-number box appears for the mixed-number input).
- Read the converted value and the steps.
Worked Examples
Improper fraction to mixed number:
| Improper | Mixed number |
|---|---|
| 11/4 | 2 3/4 |
| 7/2 | 3 1/2 |
| 10/4 | 2 1/2 |
| 9/3 | 3 |
Mixed number to improper fraction:
| Mixed number | Improper |
|---|---|
| 2 3/4 | 11/4 |
| 1 1/2 | 3/2 |
| 3 2/5 | 17/5 |
FAQ
How do you convert an improper fraction to a mixed number?
Divide the numerator by the denominator. The quotient is the whole number, and the remainder
over the denominator is the fraction. For 11/4: 11 ÷ 4 = 2 remainder 3, so 2 3/4.
How do you convert a mixed number to an improper fraction?
Multiply the whole number by the denominator, add the numerator, and keep the denominator. For
2 3/4: (2 x 4) + 3 = 11, so 11/4.
What is a mixed number?
A whole number together with a proper fraction, like 2 3/4. It is equal to the improper fraction 11/4.
Does it simplify the fraction?
Yes. The fractional part is reduced to lowest terms, so 10/4 becomes 2 1/2.