To solve \(\frac{7}{8} \div \frac{3}{4}\), you can multiply by the reciprocal of the second fraction:
\[ \frac{7}{8} \div \frac{3}{4} = \frac{7}{8} \times \frac{4}{3} \]
Now, multiply the numerators and the denominators:
\[ = \frac{7 \times 4}{8 \times 3} = \frac{28}{24} \]
Next, simplify \(\frac{28}{24}\) by finding the greatest common divisor (GCD) of 28 and 24, which is 4:
\[ \frac{28 \div 4}{24 \div 4} = \frac{7}{6} \]
So, \(\frac{7}{8} \div \frac{3}{4} = \frac{7}{6}\).
None of the provided answers matches \(\frac{7}{6}\).
However, if we had calculated instead to confirm the options, we could look into the responses provided:
- \(6/7\)
- \(21/32\)
- \(32/21\)
- \(7/6\)
None of these options work. If the provided choices were varied, verify for availability of the answer as \(7/6\), else it might have been a type or overlooks response thus any options are inexplicable results. Thus the answer \(7/6\) would stand simplified.
However, with the existing options given and if translations were skewed:
Since \(\frac{7}{6}\) isn't shown amongst the suggested, further evaluation or an alternate approach might yield closer approximations if misconstrued. Options selected reflect differently based on interpretations of common terms thus answer remains as confirmed \(\frac{7}{6}\).