Multiplying Mixed Numbers

A mixed number is a whole number combined with a fraction, such as 2 1/2.

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

3 1/4 = (3 * 4 + 1)/4 = 13/4.

Convert each mixed number to an improper fraction.

Convert 2 1/3 to 7/3 and 1 1/2 to 3/2.

Multiply the numerators together and the denominators together.

(7 * 3)/(3 * 2) = 21/6.

Divide the numerator and denominator by their greatest common divisor, which is 3. So, 21/6 = 7/2.

7/2 = 3 1/2.

Convert the result back to a mixed number if necessary.