Question

Question content area top
Part 1
Error Analysis  Your friend says that 6 and two thirds divided by 2
equals13 and one third
. What is the correct​ quotient? What error did your friend likely​ make? Use pencil and paper. Explain how you can tell that there must be an error without doing any calculating.
Question content area bottom
Part 1
What is the correct​ quotient?
6 and two thirds divided by 2
equals
  
enter your response here
​(Simplify your answer. Type a whole​ number, proper​ fraction, or mixed​ number.)

Answer 1

Correct quotient: 3 1/3.

Work: 6 2/3 = 20/3. (20/3) ÷ 2 = (20/3)·(1/2) = 10/3 = 3 1/3.

Likely error: your friend multiplied by 2 instead of dividing (6 2/3 · 2 = 13 1/3). You can tell it’s wrong without calculating because dividing by 2 should give a number smaller than 6 2/3, not larger.