Identifying Models for Multiplying Fractions

Count the shaded areas

Identify the total number of boxes

Write the product first

Separate the image into rows and columns

Add the shaded rows and columns

Count the total number of boxes

Multiply the rows and columns

Identify boxes with dual shading

Number of shaded columns

Total number of rows

Total number of columns

Total number of shaded rows

Two

One

Three

Four

A factor

A denominator

A product

A numerator

Two

Four

Three

One

1/3 * 1/6 = 1/18

1/2 * 1/2 = 1/4

1/5 * 1/4 = 1/20

1/4 * 1/5 = 1/20

Add 3

Multiply by 2

Divide by 5

Divide by 3

2/5

1/3

1/2

3/5

Multiply rows by columns directly

Add all shaded areas together

Start with rows and columns, then find the product

Start with the product, then analyze rows and columns