1. Modeling Multiplication of a Fraction by a Mixed Number
Measurement
Modeling Multiplication of
a Fraction by a Mixed Number

2. Multiplying Fractions & Whole Numbers
When we multiply whole numbers we can model the multiplication to arrive at the answer. 3
Example: 4 x 3 4

3. Multiplying Fractions & Whole Numbers
We can also model the multiplication of two fractions.
2/3
Example:
3/4 x 2/3 = 6/12
=1/2 1 2 3 4
3/4 5 6

4. Multiplying Fractions & Whole Numbers
Using these ideas, we can now model fractions by mixed numbers.
Example:
1/3 of 1½
1/3 x 1½

5. Multiplying Fractions & Whole Numbers
We start with 1 ½ squares.
1 ½
1/3 x 1½

6. Multiplying Fractions & Whole Numbers
We then divide the squares by 1/3 in the other direction.
1 ½
1/3
1/3 x 1½

7. Multiplying Fractions & Whole Numbers
How many spaces are shaded by both the yellow and the pattern? This is the numerator in the answer.
1 ½ 1 2 3
1/3
1/3 x 1½

8. Multiplying Fractions & Whole Numbers
How many rectangles are there in ONE square? This is the denominator in the answer.
1 ½ 1 3
1/3 3 4 5 6
1/3 x 1½

9. Multiplying Fractions & Whole Numbers
1/3 x 1½ = 3/6 = 1/2
1 ½
1/3

10. Multiplying Fractions & Whole Numbers
Let’s try this one:
2/3 of 1 1/4 =

11. Multiplying Fractions & Whole Numbers
Virtual Manipulative
Multiplication of Fractions
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