Improper to Mixed Fraction Converter

How it is calculated

The tool does an integer division of the numerator by the denominator. The quotient is the whole part and the remainder is the new numerator: n / d = q + r / d. The remainder fraction is then reduced by dividing the top and bottom by their greatest common divisor, so the answer is always in lowest terms. If the remainder is zero only the whole number is shown (24/6 gives 4). A numerator smaller than the denominator comes back as a plain fraction with no whole part. The decimal value is also shown, rounded to four places. Both inputs must be whole numbers and the denominator cannot be zero, otherwise no result is shown. The sign is the usual one: a negative on either the numerator or the denominator makes the answer negative (38/−12 gives −3 1/6), while two negatives cancel out.

Common mistakes

• Forgetting to reduce the remainder. 3 2/12 is correct but not in lowest terms; the tool gives 3 1/6.
• Putting the remainder over the quotient or the numerator instead of the original denominator. The fractional part is always remainder over the original denominator before reducing.
• Entering a decimal such as 7.5 for the numerator. Only whole numbers are accepted and a decimal gives no result, so write 15/2 instead.
• Expecting a whole part from a proper fraction such as 3/4. It is already below 1, so it stays 3/4.
• Writing a negative mixed number as −3 and then +1/6. The minus applies to the whole number: −38/12 is −3 1/6, which is −(3 + 1/6), not −3 + 1/6.