Multiplying and Dividing Fractions

5.4A Multiplying FractionsObjective: To multiply fractions and mixed numbers. To use fraction multiplication to solve real-world problems.Write each mixed number as an improper fraction.

Warm-Up

Multiplying fractions is MUCH easier than adding fractionsYou do not need common denominatorsMultiply numerator by numerator and denominator by denominatorSimplify, if possibleProcess 1: Multiplying FractionsMultiply

Multiplying Fractions - Sample

Find the product

Practice

That last one was kind of hardis there an easier way?Find the product

Practice

You can simplify the fractions before multiplying. This will save you from having to multiply larger numbers It will also reduce the need to simplify the product

Cross-CancelingTo cross-cancel, find any common factors between the diagonals. Divide both numbers by the same factor Example:

Cross-Canceling (continued)

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More Practice

Try this

Multiplying Mixed Numbers

Before you can multiply mixed numbers, you must first rewrite the mixed numbers as improper fractions

Multiplying Mixed Numbers

Practice

Practice

You are hiking with a friend. The trail is

miles long. You have walked around it

times. How far have you walked? Real-World Problem

You are hiking with a friend. The trail is

miles long. You have walked around it

times. How far have you walked? Real-World Problem