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

`(4)/(5)=(4\cdot 2)/(5\cdot 2)=(8)/(10).`

She counts the mileage markers that are placed every
`(1)/(10)` of a mile along the trail. Then she counts

`(8)/(10):(1)/(10)=(8)/(10)\cdot (10)/(1)=(8\cdot 10)/(10\cdot 1)=(8)/(1)=8` markers.

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