Naysha listens to the radio for 5/6

of an hour each day. Which expressions represent the time Naysha spends listening to the radio in a 7-day period? Check the THREE that apply.

(3 points)
Responses

12/6
12 sixths

7×5/6
7 times 5 sixths

7+5/6
7 plus 5 sixths

35/6
35 sixths

5/6+5/6+5/6+5/6+5/6+5/6+5/6

1 answer

To find the time Naysha spends listening to the radio over a 7-day period, we can multiply the daily time (5/6 hour) by the number of days (7 days).

Here are the expressions provided and their meanings:

  1. 12/6 (This evaluates to 2, which does not represent the time spent over 7 days.)
  2. 7×5/6 (This represents the total time: 7 times 5/6 = 35/6.)
  3. 7+5/6 (This does not represent the total time but rather adds an extra 5/6 to 7.)
  4. 35/6 (This is the total time spent listening to the radio over 7 days.)
  5. 5/6+5/6+5/6+5/6+5/6+5/6+5/6 (This also is a correct representation as it adds up the time for each day over 7 days.)

The expressions that correctly represent the time Naysha spends listening to the radio in a 7-day period are:

  • 7×5/6
  • 35/6
  • 5/6+5/6+5/6+5/6+5/6+5/6+5/6

So, the correct three expressions are: 7×5/6, 35/6, and 5/6+5/6+5/6+5/6+5/6+5/6+5/6.