4 hours 50 minutes in decimal
Understand the Problem
The question is asking to convert a duration of 4 hours and 50 minutes into a decimal format, typically expressed in hours. This involves converting the minutes into a fraction of an hour and adding that to the total hours.
Answer
$4.8333$
Answer for screen readers
The decimal format of 4 hours and 50 minutes is $4.8333$ hours.
Steps to Solve
- Convert minutes to hours
Since there are 60 minutes in an hour, we convert the 50 minutes into hours.
This is done by using the formula:
$$ \text{Hours from minutes} = \frac{50}{60} $$
Calculating this gives:
$$ \text{Hours from minutes} = \frac{50}{60} = 0.8333 $$
- Add hours and converted minutes
Next, we need to add the hours from the original duration (4 hours) to the fraction of hours we just calculated.
So our equation becomes:
$$ \text{Total in hours} = 4 + 0.8333 $$
Calculating this gives:
$$ \text{Total in hours} = 4.8333 $$
- Write down the final answer
Thus, the duration of 4 hours and 50 minutes in decimal format is:
$$ \text{Result} = 4.8333 $$
The decimal format of 4 hours and 50 minutes is $4.8333$ hours.
More Information
This conversion is useful in various fields, such as finance and time management, where representing time in a decimal format can simplify calculations, especially for billing or tracking time.
Tips
- Forgetting to divide the minutes by 60: Always remember to convert minutes correctly to hours by dividing by 60.
- Not adding the converted minutes to the total hours: Make sure to combine both values correctly for the final result.
