1. Multiplying Fractions and Mixed Numbers
Objective:
Learn to multiply fractions and mixed numbers.

2. To multiply fractions, multiply the numerators and the denominators
To multiply fractions, multiply the numerators and the denominators. Then simplify.
Steps:
If you have a whole number, write it over 1.
Ex. 2 as 2 1
2. Multiply the numerators.
Multiply the denominators.
4. Simplify
Convert any improper fractions to a mixed number.
Example 1
Example 2
1 × 2 = 2 6 1 3
2 × 3 4
2 × 3 6
1 2 = 1 1

3. Your Examples:
3 × × 4 3
9× 1 2
1 × 8

4. When multiplying fractions, if the numerator and the denominator of either fraction have common factors, you can simplify before multiplying.
3 × 2
5 × 3
5 × 3
4 × 42

5. When Multiplying Mixed Numbers: First convert the mixed number to an improper fraction. Then multiply normally and simplify. 1×
1 7 × 2 2

6. Homework: Extra Credit:
1. 3 × × × × ×
× × × × ×
Extra Credit:
Humans sleep about 1/3 of each day. If each year is equal to 365 ¼ days,
Determine the number of days in a year the average human sleeps.