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.

what distance is left to reach 5 meters?
$\frac{1}{3}$ meter

what fraction of a log can kate use to fill the remaining $\frac{1}{3}$ meter?
____ of a log

Explanation:

Step1: Define given values

Remaining distance: $\frac{1}{3}$ m; Log length: $\frac{2}{3}$ m

Step2: Calculate log fraction

$$\text{Fraction} = \frac{\text{Remaining distance}}{\text{Log length}} = \frac{\frac{1}{3}}{\frac{2}{3}}$$

Step3: Simplify the fraction

$$\frac{\frac{1}{3}}{\frac{2}{3}} = \frac{1}{3} \times \frac{3}{2} = \frac{1}{2}$$

Answer:

$\frac{1}{2}$