Mixed Number to Improper Fraction Calculator

How it is calculated

For the default direction (mixed to improper) the tool computes the combined numerator as whole × denominator + numerator, keeps the denominator, then divides both by their greatest common divisor, so the answer is always in lowest terms. For a negative whole number the fraction part is subtracted instead, so −2 ¾ becomes −11/4. In the reverse direction (improper to mixed) it divides the numerator by the denominator: the quotient is the whole part and the remainder over the denominator, reduced, is the fraction part. Only integers are accepted, the denominator cannot be zero, and the whole-number box is optional and treated as 0 if left empty. The decimal value is also shown to six places.

Common mistakes

• Forgetting to multiply the whole number by the denominator before adding the numerator, for example turning 3 6/8 into 9/8 by adding 3 + 6 instead of multiplying.
• Changing the denominator. It stays the same during the conversion; only the numerator changes, apart from the final reduction.
• Entering a decimal such as 2.5 in the whole-number box. Only whole numbers are accepted in all three boxes, so write 2 1/2 instead.
• Entering a negative mixed number with the minus sign on the fraction part. The sign belongs on the whole number: −2 3/4 means −(2 + 3/4), whereas a minus on the numerator while the whole number is positive subtracts the fraction.
• Expecting the answer in the unreduced form 30/8. The tool always reduces, so you get 15/4.