To convert seconds to minutes using dimensional analysis, we start with the known conversion factor between seconds and minutes.
1 minute is equal to 60 seconds.
We want to convert 230 seconds into minutes:
\[ 230 , \text{seconds} \times \left( \frac{1 , \text{minute}}{60 , \text{seconds}} \right) \]
Now we perform the multiplication:
\[ = 230 \times \frac{1}{60} , \text{minutes} \]
Now, we calculate \( 230 \div 60 \):
\[ = \frac{230}{60} , \text{minutes} \approx 3.8333 , \text{minutes} \]
To represent this in a more standard format, we can convert 0.8333 minutes into seconds. Since there are 60 seconds in a minute:
\[ 0.8333 , \text{minutes} \times 60 , \text{seconds/minute} \approx 50 , \text{seconds} \]
So, 0.8333 minutes is approximately 50 seconds.
Thus, the total time in minutes and seconds is:
\[ 3 , \text{minutes} , 50 , \text{seconds} \]
Therefore, the final answer is:
230 seconds is approximately 3 minutes and 50 seconds or 3.8333 minutes.
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