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The conversion 118 minutes to hours can be expressed in two useful ways: (1) as hours and leftover minutes, and (2) as decimal hours.
Key fact: \(1\ \text{hour} = 60\ \text{minutes}\) (exact).
To convert minutes to hours, divide by \(60\). To express the result as “hours and minutes,” use quotient and remainder.
Convert 118 minutes to hours and minutes
Divide \(118\) by \(60\) to find full hours and remaining minutes:
\[ 118 = 60 \times 1 + 58 \]The quotient is \(1\) hour and the remainder is \(58\) minutes, so:
\[ 118\ \text{minutes} = 1\ \text{hour}\ 58\ \text{minutes} \]Convert 118 minutes to decimal hours
Decimal hours treat the hour as the base unit:
\[ t_{\text{h}}=\frac{118}{60}=1.966666\ldots\ \text{hours} \]Rounded values:
- \(t_{\text{h}} \approx 1.97\ \text{h}\) (to 2 decimal places)
- \(t_{\text{h}} \approx 1.9667\ \text{h}\) (to 4 decimal places)
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 |
| 118 | \(\dfrac{118}{60}=1.9666\ldots\) | 1 h 58 min |
| 120 | \(\dfrac{120}{60}=2\) | 2 h 0 min |
Visualization: 118 minutes on a 0–120 minute timeline
Common checks
- Reverse check (hours-and-minutes): \(1\ \text{h}\ 58\ \text{min} = 60 + 58 = 118\ \text{min}\).
- Reverse check (decimal hours): \(1.9666\ldots\ \text{h} \times 60\ \dfrac{\text{min}}{\text{h}} = 118\ \text{min}\).
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