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MMLU / As punishment for bad behavior during recess, Mrs. Busywork asked her class to…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

As punishment for bad behavior during recess, Mrs. Busywork asked her class to multiply 10 by 13\frac{1}{3} five times. John, however, notices that it is possible to multiply 10 by a single fraction and still get the same answer as the other students. What is this single fraction?
Plain-text mathematical notation (without MathML)
As punishment for bad behavior during recess, Mrs. Busywork asked her class to multiply 10 by (1)/(3) five times. John, however, notices that it is possible to multiply 10 by a single fraction and still get the same answer as the other students. What is this single fraction?
Original LaTeX notation
As punishment for bad behavior during recess, Mrs. Busywork asked her class to multiply 10 by $\frac{1}{3}$ five times. John, however, notices that it is possible to multiply 10 by a single fraction and still get the same answer as the other students. What is this single fraction?

choices

  1. \frac{1}{27}
  2. \frac{1}{68}
  3. \frac{1}{3}
  4. \frac{1}{243}

subject

high_school_mathematics

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