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

Answer:

$2\frac{7}{12}$ hours or 2 hours 35 minutes.

Step-by-step explanation:

A trip to Portland, Oregon from Boston will take = $7\frac{3}{4}$  hours

We are finished = $\frac{2}{3}$ of the trip

                          = $\frac{2}{3}$ × $7\frac{3}{4}$

                          = $\frac{2}{3}$ × $\frac{31}{4}$

                          = $\frac{62}{12}$  

                          = $\frac{31}{6}$

                         = $5\frac{1}{6}$  hours of the trip completed.

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

= $7\frac{3}{4}$ - $5\frac{1}{6}$

= $\frac{31}{4}$  - $\frac{31}{6}$

= $\frac{93-62}{12}$

= $\frac{31}{12}$

= $2\frac{7}{12}$ hours = 2.58 hours or 2 hours 35 minutes

The trip will take  $2\frac{7}{12}$ hours