# Multiplying Fractions

## Fractions of Fractions: Use the grid model

2/5 of 2/3

1. Draw a rectangle

2. Make 5 columns for the first fraction. Shade in two of the columns since you have 2/5 (blue)

3. Make 3 rows for the second fraction. Shade in two of the rows since you have 2/3 (red)

4. You will see that the rectangle is now divided into smaller parts; in this case, we have 15 small parts. This is your new denominator.

5. How many parts are shaded in with both colours (purple)? This is your new denominator.

## Mixed fraction times mixed fraction: use the area model

1 1/2 x 2 2/3

1. Draw a rectangle and divide it into the four areas (1 large, 2 medium, 1 small)

2. Multiply the whole numbers (1x2). This goes in the large area.

3. Multiply one whole by the OTHER fraction (1 x 2/3). This goes into one of the medium areas.

4. Multiply the other whole number by the OTHER fraction (2 x 1/2). This goes into the other medium area.

5. Multiply the two fractions (1/2 x 2/3). This goes into the smallest area.

6. Add up the four products from steps 2-5. Remember to use common denominators.

7. Reduce to lowest terms if necessary.

## Standard Algorithm

1. Multiply the numerators

2. Multiply the denominators

3. Reduce to lowest terms if necessary

** If you have mixed fractions, convert to improper fractions first and then go through steps 1-3

## Mixed and Improper Together

1. Change the mixed fraction to an improper fraction.

2. Use the standard algorithm method.

## Learning Goal:

Multiply fractions using a variety of strategies.

## Success Criteria:

- mixed fraction x mixed fraction --> use area model or convert both to improper and use algorithm

- fraction of a fraction --> use grid model or algorithm

- mixed fraction x improper fraction --> convert both to improper and use algorithm

- mixed fraction x fraction --> convert mixed to improper and use algorithm