math.com
Home    |    Teacher    |    Parents    |    Glossary    |    About Us
Homework Help Practice Ask An Expert Calculators & Tools Games Store
© 2000-2005 Math.com. All rights reserved.     Please read our Privacy Policy.

Multiplying mixed numbers is just like multiplying fractions. In fact, it is multiplying fractions, since you first change the mixed numbers into improper fractions. Let's work through a "word problem" example.

Melinda is building a birdhouse and needs three pieces of wood that are each 9-5/8 inches long. She has a piece of wood that is 29 inches long. Will this be long enough?

Let's multiply 3 times 9-5/8. First we have to change both numbers to improper fractions. Three is easy; it becomes 3/1.

The next one is a little trickier. Keep the 8 in the denominator. For the numerator, multiply 9 times 8 and add 5. This gives 77 in the numerator, so the improper fraction is 77/8. This can't be simplified any further, so we go on with our multiplication.

Now multiply the numerators and then the denominators. This gives 231 in the numerator, and 8 in the denominator.

We want our answer in lowest terms, so we divide 231 by 8, and get 28-7/8 inches. Since this is less than 29 inches, Melinda will be able to saw her three pieces from this board, as long as she measures and cuts very carefully!

back to top

   Homework Help | Pre-Algebra | Fractions Email this page to a friend Email this page to a friend
Search
Custom Search



Math Jobs



 ·  Definitions

 ·  Reducing fractions

 ·  Adding and subtract-
    ing fractions

 ·  Multiplying fractions

 ·  Dividing fractions

 ·  Adding and subtract-
    ing mixed numbers

 ·  Multiplying
    mixed numbers

 ·  Dividing
    mixed numbers


First Glance In Depth Examples Workout
First Glance   In Depth   Examples   Workout

Multiplying mixed numbers