Unit 2, Lesson 8
Divide to Multiply Non-Unit Fractions
Grade 5
Activity 2
Explain how each expression represents the shaded region of this diagram.
Student Section Summary
We explored the relationship between multiplication and division. We learned that a diagram can represent different multiplication and division expressions.
Example: We can represent this diagram with 4 different expressions:
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Each rectangle is divided into 4 equal parts, and 3 parts are shaded.
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There are 3 parts shaded, and each part is of the rectangle.
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There are 3 rectangles, and each rectangle is divided into 4 equal parts.
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There are 3 rectangles, and of each rectangle is shaded.
We know that all of these expressions have the same value because they all represent the same diagram. We can use any of these expressions to represent and solve this problem:
- Mai eats of a 3-pound bag of blueberries. How many pounds of blueberries does Mai eat?