Question

Writing  Find 5divided by2 and one seventh
. Use pencil and paper. Explain how you​ know, without​ calculating, that 5divided by2 and one seventh
must be less than 5. Is there any number for which the quotient of 5 and that number is greater than 5​? Explain.
Question content area bottom
Part 1
5divided by2 and one seventh
equals
  
enter your response here
​(Simplify your answer. Type a whole​ number, proper​ fraction, or mixed​ number.)Writing  Find 5divided by2 and one seventh
. Use pencil and paper. Explain how you​ know, without​ calculating, that 5divided by2 and one seventh
must be less than 5. Is there any number for which the quotient of 5 and that number is greater than 5​? Explain.
Question content area bottom
Part 1
5divided by2 and one seventh
equals
  
enter your response here
​(Simplify your answer. Type a whole​ number, proper​ fraction, or mixed​ number.)

Answer 1

5 ÷ 2 1/7 = 5 ÷ (15/7) = 5·(7/15) = 35/15 = 7/3 = 2 1/3.

Without calculating exactly, you know the quotient must be less than 5 because 2 1/7 is greater than 1, and dividing a number by something larger than 1 makes the result smaller than the original number.

Is there any number that makes 5 divided by that number greater than 5? Yes — any positive number less than 1. Dividing by a number between 0 and 1 produces a larger result (for example, 5 ÷ 1/2 = 10). (Division by 0 is undefined.)