1. 3.3-Multiplication and Division with Mixed Numbers MATH 081 CATHERINE CONWAY

2. Steps to multiply or divide mixed numbers 1. Convert all mixed numbers into improper fractions 2. For Multiplication ◦multiply the numerators ◦multiply the denominators ◦Simplify (Reduce fraction to lowest terms) 3. For Division ◦Keep, change, flip ◦Follow the step 2 NOTE: Always following the order of operation when necessary and fractions should always be reduced to lowest terms.

3. Examples - Multiply Convert to improper fractions Multiply numerator Multiply denominators Reduce the fraction and change into mixed number Cross cancel

4. Examples - Multiply Convert to improper fractions Multiply numerator Multiply denominators Reduce the fraction and change into mixed number Cross cancel

5. Examples - Multiply Convert to improper fractions Multiply numerator Multiply denominators Reduce the fraction and change into mixed number Cross cancel

6. Examples - Divide Convert to improper fractions Multiply numerator Multiply denominators Reduce the fraction and change into mixed number (if possible) Keep, Change, Flip

7. Examples - Divide Convert to improper fractions Multiply numerator Multiply denominators Reduce the fraction and change into mixed number (if possible) Keep, Change, Flip

8. Examples - Divide Convert to improper fractions Multiply numerator Multiply denominators Change into mixed number Order of operations Keep, Change, Flip Keep, Change, Flip Cross Cancel Multiply numerator Multiply denominators

9. Examples - Divide Convert to improper fractions Multiply numerator Multiply denominators Change into mixed number Order of operations Keep, Change, Flip Multiply numerator Multiply denominators