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Mathematics
  1. Juan says that the quotient 2 7 ÷ ( 2 21 ÷ 1 7 ) (2)/(7)-:(-(2)/(21)-:(1)/(7)) is 21 .
    a. What is the correct quotient?
    b. What mistake did Juan likely make?
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a. To simplify the given expression, we must first simplify the expression inside the parentheses by dividing 2 21 (-2)/(21) by 1 7 (1)/(7).
2 21 ÷ 1 7 = 2 (-2)/(21)-:(1)/(7)=-2
Therefore, the original expression is equivalent to:
2 7 ÷ ( 2 ) = 1 7 (2)/(7)-:(-2)=-(1)/(7)
So the correct quotient is 1 7 -(1)/(7).
b. Juan likely made the mistake of not following the order of operations. We must simplify the expression inside the parentheses before dividing 2 7 (2)/(7) by the result.
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