b. What fraction of `2 (1)/(2)` days is 12 hours?

Answer

To find out what fraction of \(2 \frac{1}{2}\) days is 12 hours, we can follow these steps:

### Step 1: Convert \(2 \frac{1}{2}\) days into hours
First, we need to convert the mixed number \(2 \frac{1}{2}\) days into hours.

- \(2\) days is equal to \(2 \times 24 = 48\) hours.
- \(\frac{1}{2}\) day is equal to \(\frac{1}{2} \times 24 = 12\) hours.

Now, we add these two amounts together:
\[ 48 \text{ hours} + 12 \text{ hours} = 60 \text{ hours} \]

### Step 2: Find the fraction of 12 hours from 60 hours
Now that we know \(2 \frac{1}{2}\) days is equal to 60 hours, we can find out what fraction of 60 hours is 12 hours.

We set up the fraction:
\[ \text{Fraction} = \frac{12 \text{ hours}}{60 \text{ hours}} \]

### Step 3: Simplify the fraction
To simplify \(\frac{12}{60}\), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 12:
\[ \frac{12 \div 12}{60 \div 12} = \frac{1}{5} \]

### Final Answer
Thus, the fraction of \(2 \frac{1}{2}\) days that is 12 hours is \(\frac{1}{5}\).

---