To evaluate and simplify \( 32 \div 34 \):
First, we can rewrite the division as a fraction:
\[ \frac{32}{34} \]
Next, we simplify the fraction. Both the numerator and the denominator have a common factor of 2:
\[ \frac{32 \div 2}{34 \div 2} = \frac{16}{17} \]
Thus, the simplified form of \( 32 \div 34 \) is:
\[ \frac{16}{17} \]
Now let's check the answer choices provided:
- \( \frac{6}{8} \) simplifies to \( \frac{3}{4} \)
- \( \frac{8}{9} \) is already in simplest form
- \( \frac{9}{8} \) is already in simplest form and is greater than 1
- \( 2 \) is also not equivalent to our simplified fraction
None of the provided choices matches the correct simplified answer \( \frac{16}{17} \).
If you need to select the closest option or check for any further instructions, let me know!