Question

A trip to Portland, Oregon, from Boston will take 7 3/4 hours. Assuming we are two-thirds of the way there, how much longer, in hours, will the trip take?

Answer 1

2 7/12. 7 3/4 fourths divided by 3 equals 2 7/12. 2/3 is equal to 5 1/6. 7 3/4 - 5 1/6 equals 2 7/12. :)

Answer 2

`2(7)/(12)` hours or 2 hours 35 minutes.

Explanation:

A trip to Portland, Oregon from Boston will take =
`7(3)/(4)` hours

We are finished =
`(2)/(3)` of the trip

=
`(2)/(3)` ×
`7(3)/(4)`

=
`(2)/(3)` ×
`(31)/(4)`

=
`(62)/(12)`

=
`(31)/(6)`

=
`5(1)/(6)` hours of the trip completed.

Now we will subtract from the total time of trip to completed time of trip.

=
`7(3)/(4)` -
`5(1)/(6)`

=
`(31)/(4)` -
`(31)/(6)`

=
`(93-62)/(12)`

=
`(31)/(12)`

=
`2(7)/(12)` hours = 2.58 hours or 2 hours 35 minutes

The trip will take
`2(7)/(12)` hours