Let's solve the problem by breaking it down into a step-by-step process:
1. Convert the hours and minutes to a decimal hour format:
- You have 6 hours and 15 minutes.
- To convert 15 minutes to hours, you divide the minutes by 60 because there are 60 minutes in an hour.
- [tex]\( 15 \text{ minutes} = \frac{15}{60} \text{ hours} \)[/tex].
- Performing the division, [tex]\( \frac{15}{60} = 0.25 \text{ hours} \)[/tex].
2. Combine the converted minutes with the hours:
- Now add the converted minutes (in hours) to the hours.
- [tex]\( 6 \text{ hours} + 0.25 \text{ hours} = 6.25 \text{ hours} \)[/tex].
3. Multiply the total time in hours by the given multiplier:
- You need to multiply the time by 6.
- Therefore, [tex]\(6 \times 6.25 \text{ hours} = 37.5 \)[/tex].
So, [tex]\( 6 \times (6 \text{ hours } 15 \text{ minutes}) = 37.5 \text{ hours} \)[/tex].
