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

$4.8333$

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.

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