Multiplying Fractions Using Number Lines

pg. 33

Example: What is of 3?

1

2

Multiplying a Fraction and a Whole Number

0

1

2

1

2

1

2

1

Start

* 3 = 1

1

2

Step 1: On a number line, plot the fraction.

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Step 2: Start at 0, and move to the fraction. Keep moving the same distance a number of times equal to the whole number.

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Example: The whole number is 3, so move 3 times.

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Step 3: Use the number line to determine the product (the answer.)

1

2

The word “of” means Multiplication!

Example: What is of ?

2

3

Multiplying a Fraction and a Fraction

0

1

4

3

4

1

Start

3

4

6

12

1

3

2

3

Step 1: Draw a number line and plot the 1st fraction.

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Step 2: Divide the number line between 0 and the 1st fraction into a number of sections equal to the denominator of the 2nd fraction.

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Example: The denominator is 4, so divide into 4 sections.

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Step 3: Start at 0. Move a number of sections equal to the numerator of the 2nd fraction.

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Example: The numerator is 3, so move 3 sections.

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Step 4: Use the number line to determine the product.

3

4

3

4

1

2

=

1. Bring your completed notes Page 33 to your teacher.
2. If approved, your teacher will hand you a foldable to use on Page 32.
3. Carefully cut along the bottom line of your foldable. You may trim the sides, but do not cut anywhere else.
4. Fold along the center line labeled “Fold here”.
5. Glue your foldable into Page 32 of your notebook.
6. Write these questions under your foldable and answer:
1. What would ¾ of ⅓ be? How do you know?
2. What would ¾ of 1⅓ be? How do you know?