You and two other friends took turns driving during the trip. You each drove for the following amounts of time: 56 of an hour, 2 18 hours, and 3 12 hours. How long did you all spend driving?(2 points) Responses 5 12 hours 5 12 hours 5 1124 hours 5 1124 hours 6 1124 hours 6 1124 hours 6 14 hours

To find the total time spent driving by you and your two friends, we need to add up the individual driving times.

1. Convert the given times to a consistent format (hours):

- You drove: \( 56 \) minutes = \( \frac{56}{60} \) hours = \( \frac{14}{15} \) hours.
- Friend 1 drove: \( 2 \frac{1}{8} \) hours = \( 2 + \frac{1}{8} = \frac{16}{8} + \frac{1}{8} = \frac{17}{8} \) hours.
- Friend 2 drove: \( 3 \frac{1}{2} \) hours = \( 3 + \frac{1}{2} = \frac{6}{2} + \frac{1}{2} = \frac{7}{2} \) hours.

2. Now, let's add these times together:

\[
\text{Total Time} = \frac{14}{15} + \frac{17}{8} + \frac{7}{2}
\]

First, convert each term to a common denominator. The least common multiple of 15, 8, and 2 is 120.

- Convert \( \frac{14}{15} \):
\[
\frac{14}{15} \times \frac{8}{8} = \frac{112}{120}
\]

- Convert \( \frac{17}{8} \):
\[
\frac{17}{8} \times \frac{15}{15} = \frac{255}{120}
\]

- Convert \( \frac{7}{2} \):
\[
\frac{7}{2} \times \frac{60}{60} = \frac{420}{120}
\]

3. Now add these fractions:
\[
\frac{112}{120} + \frac{255}{120} + \frac{420}{120} = \frac{112 + 255 + 420}{120} = \frac{787}{120}
\]

4. Convert \(\frac{787}{120}\) into a mixed number:
- \( 787 ÷ 120 = 6\) remainder \(67\)
- Therefore, \( \frac{787}{120} = 6 \frac{67}{120}\).

5. To express \(\frac{67}{120}\) as a fraction of an hour (for clarity in time):
\[
67 \text{ minutes} \text{ is approximately } 1 \text{ hour and } 7 \text{ minutes}.
\]

So, the total driving time is \( 6 \frac{67}{120}\) hours or approximately \( 6.\) hours and \( 7 \text{minutes}.\)

Since that does not match the provided options exactly, the best approximate total from the options given would be:

**6 1/4 hours.**