Question

Molly hikes 1/6 mile every day.

To hike a total of 11/6 miles, she would have to hike for____ days. To hike a total of 1/3 of a mile, she would have to hike for____ days.

Answer 1

11 days and 2 days

Explanation:

Molly hikes every day =
`(1)/(6)` miles

She would take days to hike total
`(11)/(6)` miles =
`((11)/(6) )/((1)/(6) )`

=
`(11)/(6)` ×
`(6)/(1)` = 11 days.

To hike a total
`(1)/(3)` of a mile she would have to hike =
`((1)/(3) )/((1)/(6) )`

`(1)/(3)` ×
`(6)/(1)` = 2 days

To hike a total of
`(11)/(6)`, she would have to hike for 11 days. To hike a total of
`(1)/(3)` of a mile, she would have to hike for 2 days

Answer 2

she hikes 1/6 a day, to get 11/6 , she would have to hike 11 days

to hike 1/3 of a mile

1/3 / 1/6 = 1/3 * 6/1 = 6/3 = 2

so she would have to hike 2 days