To divide 9 by \( \frac{3}{4} \), you can multiply 9 by the reciprocal of \( \frac{3}{4} \).
The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).
So, we have:
\[ 9 \div \frac{3}{4} = 9 \times \frac{4}{3} \]
Now, you can express 9 as a fraction:
\[ 9 = \frac{9}{1} \]
Now, multiply the fractions:
\[ \frac{9}{1} \times \frac{4}{3} = \frac{9 \times 4}{1 \times 3} = \frac{36}{3} \]
Now, simplify \( \frac{36}{3} \):
\[ \frac{36}{3} = 12 \]
Thus, \( 9 \div \frac{3}{4} = 12 \).
As a fraction, the answer can be written as:
\[ \frac{12}{1} \]
So, the final answer is \( 12 \) or \( \frac{12}{1} \).