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Tips to solve problems that involve portions of time:

**1.** Start by thinking about the **time conversion.**

**2.** Remember that **"of"** means **multiplication.**

**3.** Ask yourself at the end "Does the answer make sense?" If it doesn't make sense, you probably did something wrong.

Let's take a look at some examples:

**Example 1**

**Solution:**

There are 24 hours in a day.

So if there are 24 hours in a day and we need to find how many hours are in

1

4

of a day, we need to figure out what is

**Remember that "of" means multiplication.**

So,

**Remember that there's an understood 1 underneath the 24 and that to multiply fractions you must multiply the numerators then the denominators. At the end, 24 divided by 4 is 6.**

**Answer: 6 hours.**

**Example 2**

**Solution:**

**There are 100 years in a century.**

So, if there are 100 years in a century and we need to find how many years are in

3

4

of a century, we need to figure out what is

3

4

of 100.

Remember that **"of"** means **multiplication.**

So,

of 100 is the same as

times 100.

Let's solve this.

**Remember that there's an understood 1 underneath the 100, and that to multiply fractions you must multiply the numerators then the denominators. At the end, 300 divided by 4 is 75.**

**Answer: 75 years**

**Example 3**

**Solution:**

**There are 60 minutes in an hour.**

2

5

of an hour.

We need to determine what is

Remember that **"of"** means **multiplication**.

So,

Let's solve this:

**Remember that there's an understood 1 underneath the 60, and that to multiply fractions you must multiply the numerators then the denominators. At the end, 120 divided by 5 is 24.**

**Answer: 24 minutes. **

Summary

**Time conversions:**

- 60 seconds = 1 minute
- 60 minutes = 1 hour
- 24 hours = 1 day
- 7 days = 1 week
- 12 months = 1 year
- 52 weeks = 1 year
- 365 days = 1 year (366 for leap year)
- 10 years = 1 decade
- 100 years = 1 century
- 1000 years = 1 millennium

**Conversion rule:**

Large to small: **Multiply**

Small to large: **Divide**

**Quick tips for solving 'portions of time' problems:**

- Start by thinking about the time conversion.
- Remember that
**"of"**means**multiplication.** - Ask yourself at the end "Does my answer make sense?" If it doesn't make sense, you probably did something wrong.

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