Atrip 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?

First turn 7 hours and 3/4 hours into a decimal number.  This will help when doing equations (the work).

This means finding the decimal value of 3/4.  3 divided by four is .75, which means that's the decimal value.  Now add 7.

The full decimal number is 7.75 hours.

Now, the question says you are two-thirds there, meaning you have one-third to get there, also known as 1/3.  

What you can do to find how much longer the trip will take is divide 7.75 by 3 which will give you one-third of 7.75.  

One-third of 7.75 is 7.75 divided by 3 which is approximately equal to 2.58.

Since the unit is hours, 2.58 represents 2.58 hours.

Therefore, the answer is that it will take 2.58 hours longer to get to Portland, Orgeon.

Remember to do a bit of studying, understand how the question can be solved, and doing procedures with fractions.

I hope this helped!