fraction x whole number or
whole number x fraction
Write an equation to show the multiplication problem this model represents.

3 xx 2/3 = 6/3 or 2
Write the equation that is represented by this model.
2/3 xx 3/4 = 6/12 or 1/2
What is a reasonable estimate for 5 1/3 xx 3?
Will the actual product be a little bit MORE or a little bit LESS than your estimate?
15 is a good estimate beause 5 x 3 = 15
The actual product will be a little bit more than 15, because 5 1/3 is a little bit more than the 5 used in the estimate.
Write an expression to represent how to find the area of this rectangle.

1/3 xx 1/4
Evaluate the expression 7 × 1/4
Use a number line or model to represent your thinking.
Write your answer as a mixed number.
7 xx 1/4 = 1 3/4
Draw and shade a model to represent this problem:
1/2 xx 1/3
1/2 xx 1/3 = 1/6

Draw a large square on your whiteboard, then partition it as shown below.
Label the sides to show 1 2/3 xx 1 2/3 , then write the multiplication expression for each part. DO NOT SOLVE.


If the length of a rectangle is 8 units and the width is 1/2 , what is the area?
Show your thinking using a model.
Write an equation to represent the problem.
8 xx 1/2 = 4 square units.
The product of a whole number x a unit fraction is 3/4
Write the equation that matches the clues above.
Reminder: the numerator of any unit fraction is 1
3 xx 1/4 = 3/4
Draw and shade a model to represent this problem:
2/3 xx 3/4
2/3 xx 3/4 =6/12 or 1/2

Multiply 1 2/3 xx 1/2
Model your thinking.
1 2/3 xx 1/2 = 4/6 or 2/3
Sarah's vegetable garden that is 3 meters long and 3/4 meters wide. What is the area of her garden?
Show your thinking using a model.
Write an equation to represent the problem.
3 xx 3/4 = 9/4 or 2 1/4 square meters
Multiply 2/3 xx 5
Use a number line or model to represent your thinking.
5 xx 2/3 = 10/3 or 3 1/3
The product of two of the fractions listed below is 3/8 . Which 2 fractions can be multiplied together to get that answer?
1/2 1/3 2/3 1/4 3/4
1/2 xx 3/4 = 3/8
Estimate, then use an area model to multiply 3 1/2 xx 2 2/3
A reasonable estimate should be between 9 and 12. (3 x 3 = 9 and 4 x 3 = 12)
3 1/2 xx 2 2/3 = 9 2/6 or 9 1/3

If the area of a rectangle is 3/4 square units and the length is 2 units, what is the width?
The width is 3/8 units.
Represent the multiplication of 3/4 xx 8 using a number line or shaded area model.
3/4 xx 8 = 24/4 or 6
The product of two of the fractions listed below is 1/6. Which 2 fractions can be multiplied together to get that answer?
1/3 2/3 1/4 3/4
This one is tricky! Did you think about equivalent fractions?
Estimate, then use an area model to multiply 2 3/4 xx 4 2/3
A reasonable estimate should be around or a bit smaller than 15. (3 x 5 = 15, and both of the factors were rounded up, so the product would be less than 15)
2 3/4 xx 4 2/3 = 12 10/12 or 12 5/6
Find the area of this rectangle. Use an area model with partial products to represent your thinking.

4 2/3 xx 1/3 = 14/9 or 1 5/9