6cmp06se_BP3.qxd 3/14/05 9:42 AM Page 47
3
In this investigation, you explored situations that required you to multiply
fractions. You also developed an algorithm for multiplying fractions. These
questions will help you summarize what you have learned.
Think about your answers to these questions. Discuss your ideas with other
students and your teacher. Then write a summary of your findings in your
notebook.
1. Describe and illustrate your algorithm for multiplying fractions.
Explain how you use the algorithm when you multiply fractions by
fractions, fractions by mixed numbers, and fractions by whole numbers.
2. When you multiply two whole numbers, neither of which is zero, your
answer is always equal to or greater than each of the factors. For
example, 3 3 5 = 15, and 15 is greater than the factors 3 and 5. Use an
example to help explain the following statement.
When you multiply a fraction less than 1 by another fraction
less than 1, your answer is always less than either factor.
3. Explain and illustrate what “of” means when you find a fraction of
another number. What operation is implied by the word?
Investigation 3 Multiplying With Fractions
47