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How many years is 150,500 seconds?

Given:
- 1 year = 365 days
- 1 day = 24 hours
- 1 hour = 60 minutes
- 1 minute = 60 seconds

Show all conversion factors and cancellation of units.

Answer :

Sure! Let's go through the problem step-by-step to convert 150,500 seconds into years.

1. Convert seconds to minutes:
[tex]\[
1 \text{ minute} = 60 \text{ seconds}
\][/tex]
So,
[tex]\[
\text{minutes} = \frac{150,500 \text{ seconds}}{60 \text{ seconds/minute}} = 2,508.3333 \text{ minutes}
\][/tex]

2. Convert minutes to hours:
[tex]\[
1 \text{ hour} = 60 \text{ minutes}
\][/tex]
So,
[tex]\[
\text{hours} = \frac{2,508.3333 \text{ minutes}}{60 \text{ minutes/hour}} = 41.8056 \text{ hours}
\][/tex]

3. Convert hours to days:
[tex]\[
1 \text{ day} = 24 \text{ hours}
\][/tex]
So,
[tex]\[
\text{days} = \frac{41.8056 \text{ hours}}{24 \text{ hours/day}} = 1.7419 \text{ days}
\][/tex]

4. Convert days to years:
[tex]\[
1 \text{ year} = 365 \text{ days}
\][/tex]
So,
[tex]\[
\text{years} = \frac{1.7419 \text{ days}}{365 \text{ days/year}} = 0.0048 \text{ years}
\][/tex]

Therefore, 150,500 seconds is approximately equal to 0.0048 years.

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