Mixed Number Calculator

A mixed number is a whole number combined with a proper fraction, such as 2 3/4. It equals the whole part plus the fraction: 2 3/4 = 2 + 3/4 = 11/4 as an improper fraction. The calculator works with both forms and always returns a simplified result.

Convert each mixed number to an improper fraction, find a common denominator, add the numerators, then simplify. For 2 3/4 + 1 1/2: convert to 11/4 + 3/2, rewrite with a common denominator to get 11/4 + 6/4 = 17/4, then simplify to 4 1/4.

Convert each mixed number to an improper fraction, multiply the numerators together, multiply the denominators together, then simplify. For 2 1/2 x 1 1/3: convert to 5/2 x 4/3 = 20/6, then simplify to 3 1/3.

Convert each mixed number to an improper fraction, then multiply the first by the reciprocal of the second. For 3 1/2 / 1 3/4: convert to 7/2 / 7/4, flip the second to get 7/2 x 4/7 = 28/14, then simplify to 2. Dividing by zero returns no result.

The minus sign applies to the entire mixed number, not just the whole part. -2 3/4 means -(2 + 3/4) = -11/4, not -2 + 3/4. Enter a negative whole number to set the sign for the full value; if the whole part is 0, the sign is taken from the numerator instead.