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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?

Sagot :

laneyyyh
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:

[tex]2\frac{7}{12}[/tex] hours or 2 hours 35 minutes.

Step-by-step explanation:

A trip to Portland, Oregon from Boston will take = [tex]7\frac{3}{4}[/tex]  hours

We are finished = [tex]\frac{2}{3}[/tex] of the trip

                          = [tex]\frac{2}{3}[/tex] × [tex]7\frac{3}{4}[/tex]

                          = [tex]\frac{2}{3}[/tex] × [tex]\frac{31}{4}[/tex]

                          = [tex]\frac{62}{12}[/tex]  

                          = [tex]\frac{31}{6}[/tex]

                         = [tex]5\frac{1}{6}[/tex]  hours of the trip completed.

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

= [tex]7\frac{3}{4}[/tex] - [tex]5\frac{1}{6}[/tex]

= [tex]\frac{31}{4}[/tex]  - [tex]\frac{31}{6}[/tex]

= [tex]\frac{93-62}{12}[/tex]

= [tex]\frac{31}{12}[/tex]

= [tex]2\frac{7}{12}[/tex] hours = 2.58 hours or 2 hours 35 minutes

The trip will take  [tex]2\frac{7}{12}[/tex] hours

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