Question

Fiona starts at the beginning of a hiking trail and walks 4/5 of a mile. She counts the mileage markers that are placed every 1/10 of a mile along the trail. How many markers does she count?

Answer 1

First, note that

$\dfrac{4}{5}=\dfrac{4\cdot 2}{5\cdot 2}=\dfrac{8}{10}.$

She counts the mileage markers that are placed every $\dfrac{1}{10}$ of a mile along the trail. Then she counts

$\dfrac{8}{10}:\dfrac{1}{10}=\dfrac{8}{10}\cdot \dfrac{10}{1}=\dfrac{8\cdot 10}{10\cdot 1}=\dfrac{8}{1}=8$ markers.

Answer: 8 markers (if first marker is on the start of trail).