Question

kate is lining up logs across a pool for a boom run. the logs are $\frac{2}{3}$ meter long. the distance across the pool is 5 meters. she wants to know how many logs she needs.
show how many logs kate can fit in the pool without going over 5 meters.

Explanation:

Step1: Set up division equation

To find the number of logs, divide the total pool distance by the length of one log:
$$n = \frac{5}{\frac{2}{3}}$$

Step2: Simplify the division

Dividing by a fraction is multiplying by its reciprocal:
$$n = 5 \times \frac{3}{2} = \frac{15}{2} = 7.5$$

Step3: Round down to whole logs

Since partial logs can't be used, we take the whole number part:
$$n = 7$$

Step4: Verify total length

Check the total length of 7 logs:
$$7 \times \frac{2}{3} = \frac{14}{3} \approx 4.67 \text{ meters}$$
This is less than 5 meters, so it fits.

Answer:

7 logs