How to Multiply Mixed Improper Fractions

By Jay Darrington

A mixed number is a number that consists of a whole number paired with a fraction. Normally, a mixed number does not include an improper fraction, which is a fraction where the numerator is higher than the denominator. However, when it does, you will need to convert the mixed number into a true improper fraction, especially when multiplying it with another fraction of any type. Afterward, simplification can render a nicer answer than the improper fraction given.

Multiply the whole number in both mixed numbers by their respective denominators. If the number is 2 and the denominator is 5, your total would be 10.

Add the numerator to the products you generated in the last step. If the numerator was 3, your answer would be 13. This renders the mixed numbers as pure improper fractions.

Multiply the numerators and denominators of both fractions with each other. If the first fraction is 12/10, and the second one 5/3, the product should be 60/30.

Simplify the fraction by dividing the numerator and denominator by a divisor that leaves a whole number as a quotient. For example, you can divide 60 and 30 by 30 and get 2/1 or "2." Repeat this step until you are no longer able to find a divisor that leaves a whole number.

About the Author

Jay Darrington has been a professional writer since 2006, specializing in technology. He has published on several online blogs, including iTech24, iPhoneland and Tech101. He holds a Bachelor of Arts in communication technology from California State University.