Understanding Multiplication with Fractions

The lesson covers multiplying quantities by fractions, explaining how the product changes based on the fraction's value. If the fraction is less than one, the product decreases; if greater than one, it increases; and if equal to one, it remains the same. Examples illustrate these concepts, showing how multiplying by fractions affects the original quantity.

What happens to a quantity when it is multiplied by a fraction less than one?

• It increases.

• It decreases.

• It stays the same.

• It becomes zero.

In the first example, what is the product of 2 and 1/3?

• 2/3

• 3/2

• 1

• 2

Why does the quantity decrease in the first example?

• Because the fraction is greater than one.

• Because the fraction is less than one.

• Because the fraction is equal to one.

• Because the fraction is negative.

What is the product of 1/4 and 3/4 in the second example?

• 3/16

• 1/2

• 3/4

• 1/16

In the second example, what is the expected outcome when multiplying by a fraction less than one?

• The quantity increases.

• The quantity decreases.

• The quantity stays the same.

• The quantity doubles.

What is the result of multiplying 0.5 by 6/5 in the third example?

• 1/2

• 3/5

• 5/6

• 1

Why does the quantity increase in the third example?

• Because the fraction is greater than one.

• Because the fraction is negative.

• Because the fraction is less than one.

• Because the fraction is equal to one.

What happens when a quantity is multiplied by a fraction equal to one?

• It increases.

• It decreases.

• It becomes zero.

• It stays the same.

What is the effect of multiplying by a fraction greater than one?

• The quantity decreases.

• The quantity becomes zero.

• The quantity stays the same.

• The quantity increases.

Which of the following is true about multiplying by a fraction less than one?

• The product is greater than the original quantity.

• The product is less than the original quantity.

• The product is equal to the original quantity.

• The product is negative.