Unit 2, Lesson 15
Multiply More Fractions
Grade 5
Activity 2
Each diagram represents a way to calculate .
Each expression is equivalent to .
Match each diagram to an expression. Explain or show your reasoning.
Choose your favorite diagram and expression to find the value of . Be prepared to explain why it is your favorite.
Student Section Summary
We learned how to find the area of a rectangle with a fractional side length.
Example: The shaded region has an area of because there are 4 groups of of a square unit shaded. The area is or because there are 8 shaded parts and each one is of a square unit.
We also learned to multiply a mixed number by a whole number. We used diagrams and expressions to see why our strategies work.
Example: To multiply , we can use the expression . We can see both expressions represented by the shaded region in the diagram.
- The 2 rows of 3 and squares shaded show .
- The 2 rows of 3 squares shaded show .
- The 2 rows of of a square shaded show .
- The shaded region in the diagram represents the area of a rectangle with the dimensions of units by 2 units.
So, the area of the shaded region is or square units.