# Modeling Multiplication of a Fraction by a Mixed Number

## Presentation on theme: "Modeling Multiplication of a Fraction by a Mixed Number"— Presentation transcript:

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

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

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

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

Multiplying Fractions & Whole Numbers

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

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

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

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

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

Multiplying Fractions & Whole Numbers