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

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?

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    2022-01-11T19:53:50+00:00

    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).

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