# Worksheet: Multiplying Fractions: Area Models

In this worksheet, we will practice finding the product of two proper fractions using area models and relating the numerator and denominator of the product to those of the factors.

Q1:

The diagram shows the different stages to find the number that is of.

Express in terms of .

• A
• B
• C
• D
• E

What operation on number gives number ?

• A
• B
• C
• D
• E

Find the value of .

• A
• B
• C
• D
• E

Q2:

There is of a cake left. Anthony eats of it. What fraction of the whole cake does Anthony eat?

• A
• B
• C
• D
• E

Q3:

How much is of ?

• A3
• B
• C12
• D
• E

Q4:

Multiply by using models.

• A
• B
• C
• D
• E

Q5:

Write a fraction equation to find what fraction of the given figure is shaded.

• A
• B
• C
• D
• E

Q6:

Noah usually runs of a running track in one hour. What fraction of the running track does he run in h?

• A
• B
• C
• D
• E

Q7:

Sophia spends of her day relaxing. She spends of this time drawing. What fraction of her day does she spend drawing?

• A
• B
• C
• D
• E

Q8:

A man bought of an acre of land. He planted flowers on of the land he bought. On what fraction of the acre did he plant flowers?

• A
• B
• C
• D
• E

Q9:

Find the product of and using models.

• A
• B
• C
• D

Q10:

Find of using models.

• A
• B
• C10
• D
• E5