Question

convert 3 minutes into hours. round your answer to the nearest hundredth if necessary.
*note: you must use these exact conversion factors to get this question right.
1 minute (min) = 60 seconds (sec) 1 week (week) = 7 days (days)
1 hour (hr) = 60 minutes (min) 1 month (month) = 30 days (days)
1 day (day) = 24 hours (hr) 1 year (year) = 365 days (days)

Explanation:

Step1: Recall the conversion factor

We know that \(1\) hour (\(hr\)) is equal to \(60\) minutes (\(min\)), so to convert minutes to hours, we use the conversion factor \(\frac{1\ hr}{60\ min}\).

Step2: Multiply the given minutes by the conversion factor

We have \(3\) minutes. To convert to hours, we multiply \(3\ min\) by \(\frac{1\ hr}{60\ min}\). The minutes unit will cancel out, leaving us with hours.
\[3\ min\times\frac{1\ hr}{60\ min}=\frac{3}{60}\ hr\]

Step3: Simplify the fraction

Simplify \(\frac{3}{60}\) by dividing both the numerator and the denominator by their greatest common divisor, which is \(3\).
\[\frac{3\div3}{60\div3}=\frac{1}{20}\ hr = 0.05\ hr\]

Answer:

\(0.05\)