Find: b. `(3)/(14)` of `3` weeks

Answer

To solve the problem of finding \( \frac{3}{14} \) of 3 weeks, we can follow these steps:

### Step 1: Convert weeks to days
1 week is equal to 7 days. Therefore, to convert 3 weeks into days:
\[ 3 \text{ weeks} = 3 \times 7 = 21 \text{ days} \]

### Step 2: Calculate \( \frac{3}{14} \) of 21 days
Now we need to find \( \frac{3}{14} \) of 21 days:
\[ \frac{3}{14} \times 21 \]

### Step 3: Simplify the multiplication
We can simplify \( \frac{3}{14} \times 21 \) by first dividing 21 by 14:
\[ 21 \div 14 = \frac{21}{14} = \frac{3}{2} \quad \text{(since } 21 = 14 \times 1.5\text{)} \]
Now we can rewrite the expression:
\[ \frac{3}{14} \times 21 = \frac{3 \times 3}{2} = \frac{9}{2} \]

### Step 4: Convert \( \frac{9}{2} \) into a mixed number
Now, we convert \( \frac{9}{2} \) into a mixed number:
\[ \frac{9}{2} = 4 \text{ remainder } 1 = 4.5 \text{ days} \]

### Conclusion
Thus, \( \frac{3}{14} \) of 3 weeks is equal to:
\[ \text{4.5 days} \]

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