To find the percentage of pages that have diagrams in a book with 650 pages where 3 pages contain diagrams, we can use the formula for percentage:
\[ \text{Percentage} = \left( \frac{\text{Number of pages with diagrams}}{\text{Total number of pages}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage} = \left( \frac{3}{650} \right) \times 100 \]
Calculating this:
- First, calculate the fraction:
\[ \frac{3}{650} \approx 0.004615384615 \]
- Now, multiply this by 100 to convert it to a percentage:
\[ 0.004615384615 \times 100 \approx 0.4615384615 \]
- Rounding this to the nearest hundredth of a percent:
\[ 0.4615384615 \approx 0.46 \]
Thus, the percentage of pages in the book that have diagrams is approximately:
\[ \boxed{0.46} \]