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 fraction of a log can kate use to fill the remaining $\frac{1}{3}$ meter?
$\frac{1}{2}$ of a log

complete the division equation to show how many logs are needed to fill the distance across the pool.
$5 div \frac{2}{3} = ?$

Explanation:

Step1: Find fraction for remaining space

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

Step2: Solve the division equation

Rewrite division as multiplication: $5 \div \frac{2}{3} = 5 \times \frac{3}{2} = \frac{15}{2} = 7\frac{1}{2}$

Answer:

$\frac{1}{2}$ of a log; $\frac{15}{2}$ (or $7\frac{1}{2}$)