Multiplying Mixed Numbers

Use the following steps for multiplying mixed numbers:

-  Convert the mixed numbers into fractions.
-  Multiply fractions.
-  Write your answer in lowest terms.
-  If the answer is an improper fraction (numerator is bigger than denominator), convert it into a mixed number.

 

Examples:
Example 1.  Multiply.
Solution: Convert mixed numbers into fractions, and . Apply the fractions rule for multiplication:
The answer is an improper fraction. Convert it into a mixed number.

Example 2.  Multiply.
Solution: Converting mixed numbers into fractions,
Apply the fractions rule for multiplication:

Example 3.  Find the product.
Solution: Convert mixed numbers to fractions: and . Multiply two fractions: