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Julie and Sasha evaluate 4/5 ÷ 1/2. - Julie thinks of 4/5 ÷ 1/2 as the question, “How many groups of 1/2...

Julie and Sasha evaluate 4/5 ÷ 1/2.
- Julie thinks of 4/5 ÷ 1/2 as the question, “How many groups of 1/2 are in 4/5?”
- Sasha thinks of 4/5 ÷ 1/2 as the question, “4/5 is 1/2 of what number?”
Who is correct?
A. Only Julie is correct.
B. Only Sasha is correct.
C. Both Julie and Sasha are correct.
D. Neither Julie nor Sasha is correct.

Answer

C. Both Julie and Sasha are correct.

Julie is correct because dividing by a fraction is equivalent to asking how many groups of that fraction fit into the number. Sasha is also correct because dividing by a fraction can be interpreted as finding what number the original number is a fraction of.

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