Accepted answer
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Converting 300 minutes to hours uses the exact relationship between minutes and hours in standard time units.
Key fact: \(1\ \text{hour} = 60\ \text{minutes}\) (exact).
Therefore, minutes convert to hours by dividing by \(60\).
Step-by-step method (minutes to hours)
- Start with the duration in minutes, \(t_{\text{min}}\).
- Divide by \(60\ \dfrac{\text{min}}{\text{h}}\) so minutes cancel and hours remain.
- If needed, express the result as “hours and minutes” using quotient and remainder.
The conversion formula is:
\[ t_{\text{h}} = \frac{t_{\text{min}}}{60} \]Worked calculation: convert 300 minutes to hours
Substitute \(t_{\text{min}} = 300\ \text{min}\):
\[ t_{\text{h}} = \frac{300}{60} = 5\ \text{h} \]The result is an exact whole number of hours: \(5\ \text{hours}\).
Hours-and-minutes form
Integer division by 60 gives:
\[ 300 = 60 \times 5 + 0 \]The quotient is \(5\) hours and the remainder is \(0\) minutes, so:
\[ 300\ \text{min} = 5\ \text{h}\ 0\ \text{min} \]Quick reference table
| Minutes | Hours (decimal) | Hours and minutes |
|---|---|---|
| 60 | \(\dfrac{60}{60} = 1\) | 1 h 0 min |
| 90 | \(\dfrac{90}{60} = 1.5\) | 1 h 30 min |
| 120 | \(\dfrac{120}{60} = 2\) | 2 h 0 min |
| 300 | \(\dfrac{300}{60} = 5\) | 5 h 0 min |
| 360 | \(\dfrac{360}{60} = 6\) | 6 h 0 min |
Visualization: grouping minutes into 60-minute hours
Common checks
- Divisibility check: since \(300\) is divisible by \(60\), the result must be an integer number of hours.
- Reverse check: \(5\ \text{h} \times 60\ \dfrac{\text{min}}{\text{h}} = 300\ \text{min}\).
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