Multiplying fractions and mixed numbers
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Multiplying Fractions and Mixed Numbers. Objective: Learn to multiply fractions and mixed numbers. . To multiply fractions, multiply the numerators and the denominators. Then simplify. . Steps: First write 2 as 2 1 2. Multiply the numerators.

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Multiplying fractions and mixed numbers

Multiplying Fractions and Mixed Numbers

Objective:

Learn to multiply fractions and mixed numbers.


To multiply fractions multiply the numerators and the denominators then simplify
To multiply fractions, multiply the numerators and the denominators. Then simplify.

Steps:

First write 2 as 2

1

2. Multiply the numerators.

Multiply the denominators.

4. Simplify

5. Convert any improper fractions to a mixed number.

Example 1

Example 2

2 × 3

4

2 × 3

1 4

6

4

1 2 = 1 1

4 2

  • 1 × 2

    2 3 =

    2

    6

    1

    3


Your examples
Your Examples: denominators.

3 × 1

5 2

2 × 4

3

  • 9× 1

    2

    1 × 8

    4 9


When multiplying fractions, if the numerator and the denominator of either fraction have common factors, you can simplify before multiplying.

  • 3 × 2

    16 18

    5 × 3

    12 15

  • 5 × 3

    6 5

    4 × 42

    7 16


When Multiplying Mixed Numbers: denominator of either fraction have common factors, you can simplify before multiplying. First convert the mixed number to an improper fraction. Then multiply normally and simplify.

  • 1× 8 4

    4 9

  • 1 7 × 2 2

    8 5


Homework
Homework: denominator of either fraction have common factors, you can simplify before multiplying.

1. 3 × 1

4 8

2. 4 × 6

5

3. 1 × 5

5 6

4. 1 × 3

12 5

5. 2 × 15

5 16

6. 4 2 × 4

3 7

7. 5 × 2 1

8 2

8. 14 × 1 1

7

9. 3 1 × 2 2

4 3

10. 5 1× 3 3

3 4

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.


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