Question

Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. A. 2 3 of = 3 5

Answer 1

`(2)/(3)\ of\ (3)/(5) = (2)/(5)`

Explanation:

Given

`(2)/(3)\ of\ (3)/(5)`

Solving (a): Multiplication sentence

`(2)/(3)\ of\ (3)/(5)`

Rewrite of as *

`(2)/(3)\ of\ (3)/(5) = (2)/(3)\ *\ (3)/(5)`

Solve

`(2)/(3)\ of\ (3)/(5) = (2)/(5)`

Hence, the multiplication sentence is:

`(2)/(3)\ of\ (3)/(5) = (2)/(5)`

Solving (b): Rectangular fraction model

In (a) above, the result is 2/5

The fraction model will be represented as thus:

• Draw a rectangle
• Partition in to 5 equal parts (5 represents the denominator)
• Shade 2 of the 5 partitions (2 represents the numerator)

See attachment for model