a guidance counselor has 2 3/4 hours to meet with students. if she meets with each student for 1/6 hour,how many students can she see?

2 3/4 ÷ 1/6

= (11/4)(6/1)
= ..

wonder what that 1/2 students looks like, was expecting a whole number answer. Do you have a typo ?

or

2 3/4 hours = 165 minutes
each student needs 1/6 hr or 10 minute
165/10 = 16 1/2 students, same silly result

I guess there was a five minute coffee break.

To find the number of students the guidance counselor can see in 2 3/4 hours, we need to divide the total time available by the time spent with each student.

First, we need to convert 2 3/4 hours into a mixed number or improper fraction. To do this, we multiply the whole number (2) by the denominator (4) and add the numerator (3). Then, we write the result over the original denominator:
2 * 4 + 3 = 8 + 3 = 11
So, 2 3/4 hours is equal to 11/4 hours.

Next, we need to divide the total time available by the time spent with each student:
11/4 ÷ 1/6

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
11/4 * 6/1

We then multiply the numerators and denominators together:
(11 * 6) / (4 * 1) = 66/4

Finally, we simplify the fraction:
66/4 = 33/2

Therefore, the guidance counselor can see 33/2 (or 16 1/2) students in 2 3/4 hours.