Grade
5

Same & Different: Fraction Division

Look at the two pictures. What do you notice?

A: 2 divided by one-third is represented with two analog clocks. Each clock has 3 equal parts. 1 part on one clock is shaded. B: one-third divided by 2 is represented with a rectangle divided into 3 equal parts. One part is red and has 2 equal parts.
  1. How are pictures A and B mathematically the same, and how are they different?
    • A and B are the same because …
    • A and B are different because …
  2. Make a third picture that shows a scenario that involves a unit fraction and a whole number. Explain how your picture is the same as pictures A and B, and how it is different.
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Reference for Educators

Sample problems and solutions