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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Understand the division problem
The problem is to divide 7 by $$\frac{3}{4}
Step 3:: Recall the rule for dividing by a fraction
The reciprocal of $$\frac{3}{4}$$ is $$\frac{4}{3}
When dividing by a fraction, we multiply by its reciprocal.
Step 4:: Rewrite the division as multiplication
7 \div \frac{3}{4} = 7 \times \frac{4}{3}
Step 5:: Multiply the numbers
7 \times \frac{4}{3} = \frac{7 \times 4}{3} = \frac{28}{3}
Step 6:: Simplify the fraction
\frac{28}{3} = 9\frac{1}{3}
Final Answer
\frac{28}{3} or 9\frac{1}{3}
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